How many minutes are in the time interval from 1:22 pm to 5:44 pm?

Answers

Answer 1

Answer:

It would be 4 hours and 22 minutes because from 1 to 5 would be 4 hours and then 22 because of the 44 so ur answer would be 4 hours and 22 minutes.

Step-by-step explanation:

Answer 2

Answer:

262 minutes

Step-by-step explanation:

4 hours and 22 minutes difference in time

4x60=240

240+22=262 minutes


Related Questions

Suppose a random sample of 200 Americans is asked to disclose whether they can order a meal in a foreign language. Describe the sampling distribution of ˆp , the proportion of Americans who can order a meal in a foreign language.

Answers

Answer:

The distribution of sample proportion Americans who can order a meal in a foreign language is,

[tex]\hat p\sim N(p,\ \sqrt{\frac{p(1-p)}{n}})[/tex]

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

 [tex]\mu_{\hat p}=p[/tex]

The standard deviation of this sampling distribution of sample proportion is:

[tex]\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}[/tex]

The sample size of Americans selected to disclose whether they can order a meal in a foreign language is, n = 200.

The sample selected is quite large.

The Central limit theorem can be applied to approximate the distribution of sample proportion.

The distribution of sample proportion is,

[tex]\hat p\sim N(p,\ \sqrt{\frac{p(1-p)}{n}})[/tex]

A particular fruit's weights are normally distributed, with a mean of 551 grams and a standard deviation of 20 grams. If you pick one fruit at random, what is the probability that it will weigh between 523 grams and 534 grams

Answers

Answer:

11.69% probability that it will weigh between 523 grams and 534 grams

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

[tex]\mu = 551, \sigma = 20[/tex]

If you pick one fruit at random, what is the probability that it will weigh between 523 grams and 534 grams

This is the pvalue of Z when X = 534 subtracted by the pvalue of Z when X = 523. So

X = 534

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{534 - 551}{20}[/tex]

[tex]Z = -0.85[/tex]

[tex]Z = -0.85[/tex] has a pvalue of 0.1977

X = 523

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{523 - 551}{20}[/tex]

[tex]Z = -1.4[/tex]

[tex]Z = -1.4[/tex] has a pvalue of 0.0808

0.1977 - 0.0808 = 0.1169

11.69% probability that it will weigh between 523 grams and 534 grams

Answer:

[tex]P(523<X<534)=P(\frac{523-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{534-\mu}{\sigma})=P(\frac{523-551}{20}<Z<\frac{534-551}{20})=P(-1.4<z<-0.85)[/tex]

And we can find this probability with this difference:

[tex]P(-1.4<z<-0.85)=P(z<-0.85)-P(z<-1.4)[/tex]

And in order to find these probabilities we can use the table for the normal standard distribution, excel or a calculator.  

[tex]P(-1.4<z<-0.85)=P(z<-0.85)-P(z<-1.4)=0.198-0.0808=0.1172[/tex]

Step-by-step explanation:

Let X the random variable that represent the weigths of a population, and for this case we know the distribution for X is given by:

[tex]X \sim N(551,20)[/tex]  

Where [tex]\mu=551[/tex] and [tex]\sigma=20[/tex]

We are interested on this probability

[tex]P(523<X<534)[/tex]

We can solve the problem is using the normal standard distribution and the z score given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

If we apply this formula to our probability we got this:

[tex]P(523<X<534)=P(\frac{523-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{534-\mu}{\sigma})=P(\frac{523-551}{20}<Z<\frac{534-551}{20})=P(-1.4<z<-0.85)[/tex]

And we can find this probability with this difference:

[tex]P(-1.4<z<-0.85)=P(z<-0.85)-P(z<-1.4)[/tex]

And in order to find these probabilities we can use the table for the normal standard distribution, excel or a calculator.  

[tex]P(-1.4<z<-0.85)=P(z<-0.85)-P(z<-1.4)=0.198-0.0808=0.1172[/tex]

B is located at (−5, 2).

If B is reflected across the y-axis, the coordinates will be .


If B is reflected across the x-axis, the coordinates will be .

Answers

Answer:

the first one is 5,2 and the second one is -5,-2 on edge 2020!

Answer:

5,2 and -5,-2

Step-by-step explanation:

A salesman for a new manufacturer of cellular phones claims not only that they cost the retailer less but also that the percentage of defective cellular phones found among his products, ( p1 ), will be no higher than the percentage of defectives found in a competitor's line, ( p2 ). To test this statement, the retailer took a random sample of 230 of the salesman's cellular phones and 250 of the competitor's cellular phones. The retailer found that 27 of the salesman's cellular phones and 20 of the competitor's cellular phones were defective. Does the retailer have enough evidence to reject the salesman's claim? Use a significance level of α=0.1 for the test. Step 1 of 6 : State the null and alternative hypotheses for the test.

Answers

Answer:

Null hypothesis:[tex]p_{1} \leq p_{2}[/tex]    

Alternative hypothesis:[tex]p_{1}> p_{2}[/tex]  

[tex]z=\frac{0.117-0.08}{\sqrt{0.0979(1-0.0979)(\frac{1}{230}+\frac{1}{250})}}=1.363[/tex]    

Since is a right tailed test the p value would be:    

[tex]p_v =P(Z>1.363)= 0.0864[/tex]    

Comparing the p value and the significance level given we see that [tex]p_v <\alpha=0.1[/tex] so then we have enough evidence to reject the null hypothesis and then the proportion of defectives for the retailer is significantly higher than the proportion of defectives for the competitor at a 10% of significance level used.

Step-by-step explanation:

Data given

[tex]X_{1}=27[/tex] represent the number of defectives from the retailer

[tex]X_{2}=20[/tex] represent the number of defectives from the competitor

[tex]n_{1}=230[/tex] sample for the retailer

[tex]n_{2}=3377[/tex] sample for the competitor

[tex]p_{1}=\frac{27}{230}=0.117[/tex] represent the proportion of defectives for the retailer

[tex]p_{2}=\frac{20}{250}=0.08[/tex] represent the proportion of defectives for the competitor

[tex]\hat p[/tex] represent the pooled estimate of p

z would represent the statistic (variable of interest)    

[tex]p_v[/tex] represent the value for the test (variable of interest)  

[tex]\alpha=0.1[/tex] significance level given  

System of hypothesis

We need to conduct a hypothesis in order to check if the percentage of defective cellular phones found among his products, ( p1 ), will be no higher than the percentage of defectives found in a competitor's line, ( p2 ), the system of hypothesis would be:    

Null hypothesis:[tex]p_{1} \leq p_{2}[/tex]    

Alternative hypothesis:[tex]p_{1}> p_{2}[/tex]    

The statistic is given by:

[tex]z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}[/tex]   (1)  

Where [tex]\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{27+20}{230+250}=0.0979[/tex]  

Calculate the statistic  

Replacing in formula (1) the values obtained we got this:    

[tex]z=\frac{0.117-0.08}{\sqrt{0.0979(1-0.0979)(\frac{1}{230}+\frac{1}{250})}}=1.363[/tex]    

P value

Since is a right tailed test the p value would be:    

[tex]p_v =P(Z>1.363)= 0.0864[/tex]    

Comparing the p value and the significance level given we see that [tex]p_v <\alpha=0.1[/tex] so then we have enough evidence to reject the null hypothesis and then the proportion of defectives for the retailer is significantly higher than the proportion of defectives for the competitor at a 10% of significance level used.

Answer:20%

Step-by-step explanation:

covert 19/20 to a decimal​

Answers

Answer:

0.95

Step-by-step explanation:

Let's convert this into a fraction that has a denominator of 100. In order to do so, we need to multiply the numerator and denominator both by 5 (because 20 * 5 = 100):

[tex]\frac{19}{20}* \frac{5}{5} =\frac{95}{100}[/tex]

So, we have 95/100, which is technically 95 divided by 100. Whenever we divide something by a power of 10, like [tex]10^n[/tex], where n is any integer, we move the decimal point of the dividend n places to the left.

Here, we have 100, which is [tex]10^2[/tex], so we want to move the decimal point of 95 (which equals 95.0) 2 places to the left:

0.95

Hope this helps!

Find the volume of the cone

Answers

Answer:

209.467mm³

Step-by-step explanation:

the explanation is in the picture

hope this helps<3

please like and Mark as brainliest

Find the arc length of the following curve on the given interval. x equals 8 t minus 7 comma y equals 15 t minus 6x=8t−7, y=15t−6​, 0 less than or equals t less than or equals 40≤t≤4 The length of the curve is nothing. ​(Type an integer or a​ fraction.)

Answers

Answer:

  612

Step-by-step explanation:

Both x and y are linear functions of t, so for each increment of t, the x- and y-coordinates will increment by 8 and 15, respectively. The length of a line segment joining points 8 units in the horizontal direction and 15 units in the vertical direction is given by the Pythagorean theorem as ...

  d = √(8² +15²) = 17

From t=4 to t=40, there are 36 increments in t, so the length of the line segment defined by the given functions is ...

  36×17 = 612 . . . units

1 poir
Elizabeth's tablet has a combined total of 20 apps and movies. Let x
represent the number of apps and y represent the number of movies.
Which of the following could represent the number of apps and movies on
Elizabeth's tablet? Select all that apply.​

Answers

The given options are:

(A)x+y = 20 (B)7 apps and 14 movies (C)x-y= 20 (D)y=-x+ 20 (E)8 apps and 12 movies (F)xy= 20

Answer:

(A)x+y = 20 (D)y=-x+ 20 (E)8 apps and 12 movies

Step-by-step explanation:

If Elizabeth has a combined total of 20 apps and movies.

Where:

Number of apps=x

Number of Movies =y

Then:

Their total,

x+y=20 (Option A)

If we subtract x from both sides

x+y-x=-x+20

y=-x+20 (Option D)

In Option E

8 apps and 12 movies  add up to 20. Therefore, this could also apply.

The measure of angle 4 is 120 degrees, and the measure of angle 2 is 35 degrees. What is the measure of angle 5?

Answers

Answer:95 degrees

Step-by-step explanation: That’s what it is closest to

the equation 8- 4X=0 has blank real solutions

Answers

Answer:

8-4x= 0 has only 1 solution

Step-by-step explanation:

This can only have one solution because there will only be one value that can set the equation equal to 0 that number is 2. -2 on the other hand will not work because you will get 8+8=0 which does not make sense so you can only have 1 solution.

Hope this helps

For which survey is a sample not necessary?
What percentage of Colorado residents support planting more trees in the community?
Which electronic gadget will be the most popular among middle school students this year?
Do your classmates prefer warm or cool places to travel for vacation?
How many car accidents involve air bag malfunctions?

Answers

Answer:

c

Step-by-step explanation:

Answer:

Do your classmates prefer warm or cool places to travel for vacation?

Step-by-step explanation:

For problems 13-17 find a particular solution of the nonhomogeneous equation, given that the functions y1(x) and y2(x) are linearly independent solutions of the corresponding homogeneous equation. x^2y''+xy'-4y=x(x+x^3)

Answers

Answer:

y_g(x) = C1*x^2 + C2*x^-2 +  x^4 / 12

Step-by-step explanation:

Given:-

- The following second order ODE :

                                  x^2y''+xy'-4y=x*(x+x^3)  

Find:-

Find a particular solution of the nonhomogeneous equation    

Solution:-

- First note that the ODE given is a Cauchy Euler ODE. The order of derivative of independent and dependent variables are similar. The general form of Cauchy Euler ODE is:

                           a*x^n y^(n) + b*x^n-1 y^(n-1) + c*x^n-2 y^(n-2) + ... + d*y = f(x)

- We will use the following Auxiliary Equation to find the complementary solutions - Solving Homogeneous part of ODE.

                           am*(m-1) + bm + c = 0

Where, a,b,c are constants such that:

                            x^2y'' + xy' - 4y = 0

                            a = 1 , b = 1 , c = -4

- Solve the Auxiliary equation for (m) as follows:

                            m*(m-1) + m - 4 = 0

                            m^2 - 4 = 0

                            m = +/- 2  ...... ( Real and distinct roots )

- The complementary solutions to the Real and distinct roots from Auxiliary Equation is:

                            yc(x) = y1(x) + y2(x)

                            yc(x) = C1*x^2 + C2*x^-2   .... ( Complementary Solution ).

- Now for the non-homogeneous part of ODE. The function f(x) is defined as:

                            f(x) = x*( x + x^3 ) = x^2 + x^4

- We see that (x^2) term is common to both f(x) and complementary solution yc(x). So when we develop a particular solution, we have to make sure that the solution is independent from complementary solution. If not we multiply the particular solution with (x^n). Where n is the smallest possible integer for which the solution is independent. So in our case ( Using undetermined Coefficient method ) :

                           y_p (x) = A*x^4 + B*x^3 + C*x^2 + D*x + E

- To make the solution independent we multiply y_p by (x^3) where n = 3.

                          y_p (x) = A*x^7 + B*x^6 + C*x^5 + D*x^4 + E*x^3

- Take first and second derivatives of the y_p(x) as follows:

                          y'_p(x) = 7A*x^6 + 6B*x^5 + 5C*x^4 + 4D*x^3 + 3E*x^2

                          y''_p(x) = 42Ax^5 + 30Bx^4 + 20Cx^3 + 12Dx^2 + 6Ex

- Substitute y_p(x) , y'_p(x) and y''_p(x) into the ODE given:

                     42Ax^7 + 30Bx^6 + 20Cx^5 + 12Dx^4 + 6Ex^3

              +       7Ax^7  + 6B*x^6  + 5C*x^5 + 4D*x^4 + 3E*x^3

              -      ( 4Ax^7 +  4B*x^6 +  4C*x^5 +  4D*x^4 + 4E*x^3 )

              --------------------------------------------------------------------------------

                       45Ax^7  + 32Bx^6 + 21Cx^5 + 12Dx^4 + 5Ex^3  

              ---------------------------------------------------------------------------------

            45Ax^7  + 32Bx^6 + 21Cx^5 + 12Dx^4 + 5Ex^3 = x^2 + x^4

- Compare the coefficients:

                                           A = B = C = E = 0

                                           D = 1 / 12.

The particular solution is:

                                          y_p(x) = x^4 / 12

- The general solution is as follows:

                                     y_g(x) = yc(x) + y_p(x)

                                     y_g(x) = C1*x^2 + C2*x^-2 +  x^4 / 12

Answer:

The particular solution to the differential equation

x²y'' + xy' - 4y = x(x + x³)

is

y_p = (1/12)x^4 - x²/2 - x/3

Step-by-step explanation:

Given the differential equation:

x²y'' + xy' - 4y = x(x + x³)...............(1)

First, we solve the homogeneous part of (1)

x²y'' + xy' - 4y = 0...........................(2)

Let x = e^z

=>z = lnx

Let D = d/dz

dz/dx = (1/x)

dy/dx = (dy/dz).(dz/dx)

= (1/x)(dy/dz)

dy/dz = xdy/dx = xy' = Dy

d²y/dx² = (-1/x²)(dy/dz) + (1/x)(d²y/dx²)(dz/dx)

= (1/x²)(d²y/dx² - dy/dz) = (1/x²)(D² - D)y

Using these, (2) becomes

(D² - D)y + Dy - 4y = 0

(D² - 4)y = 0

The auxiliary equation is

m² - 4 = 0

(m - 2)(m + 2) = 0

m1 = 2, m2 = -2

The complementary function is

y = C1e^(2z) + C2e^(-2z)

But z = lnx

y_c = C1x² + C2/x² ...........................(3)

Now we solve (1) using the method of undetermined coefficients.

The nonhomogeneous part is

x(x + x³) = x² + x^4

So, we assume a particular solution of the form

y_p = Ax^4 + Bx³ + Cx² + Dx + E

y'_p = 4Ax³ + 3Bx² + 2Cx + D

y''_p = 12Ax² + 6Bx + 2C

Using these in (1)

x²y''_p + xy'_p - 4y_p = x²(12Ax² + 6Bx + 2C) + x(4Ax³ + 3Bx² + 2Cx + D) - 4(Ax^4 + Bx³ + Cx² + Dx + E)

= x² + x^4

12Ax^4 + 6Bx³ + 2Cx + 4Ax^4 + 3Bx³ + 2Cx² + Dx - 4Ax^4 - 4Bx³ - 4Cx² - 4Dx - 4E = x² + x^4

Comparing the coefficients of various powers of x, we have

12A + 4A - 4A = 1

12A = 1

=> A = 1/12

6B + 3B - 4B = 0

5B = 0

=> B = 0

2C - 4C = 1

-2C = 1

=> C = -1/2

2C + D - 4D = 0

2C - 3D = 0

2C = 3D

2(-1/2) = 3D

=> D = -1/3

-4E = 0

=> E = 0

(A, B, C, D, E) = (1/12, 0, -1/2, -1/3, 0)

y_p = Ax^4 + Bx³ + Cx² + Dx + E

= (1/12)x^4 - (1/2)x² - (1/3)x

The general solution is

y = y_c + y_p

= C1x² + C2/x² + (1/12)x^4 - x²/2 - x/3

Suppose that the population mean for income is $50,000, while the population standard deviation is 25,000. If we select a random sample of 1,000 people, what is the probability that sample will have a mean that is greater than $52,000?

Answers

Answer:

Probability that the sample will have a mean that is greater than $52,000 is 0.0057.

Step-by-step explanation:

We are given that the population mean for income is $50,000, while the population standard deviation is 25,000.

We select a random sample of 1,000 people.

Let [tex]\bar X[/tex] = sample mean

The z-score probability distribution for sample mean is given by;

               Z = [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = population mean = $50,000

            [tex]\sigma[/tex] = population standard deviation = $25,000

            n = sample of people = 1,000

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the sample will have a mean that is greater than $52,000 is given by = P([tex]\bar X[/tex] > $52,000)

  P([tex]\bar X[/tex] > $52,000) = P( [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] > [tex]\frac{52,000-50,000}{\frac{25,000}{\sqrt{1,000} } }[/tex] ) = P(Z > 2.53) = 1 - P(Z [tex]\leq[/tex] 2.53)

                                                                    = 1 - 0.9943 = 0.0057

Now, in the z table the P(Z [tex]\leq[/tex] x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 2.53 in the z table which has an area of 0.9943.

Therefore, probability that the sample will have a mean that is greater than $52,000 is 0.0057.

The probability that a sample of 1,000 people will have an average income greater than $52,000 is approximately 0.57%, calculated using the standard error and the z-score in a normal distribution.

To calculate the probability that a sample will have a mean that is greater than $52,000, we would use the Central Limit Theorem, which states that the sampling distribution of the sample mean will be normally distributed if the sample size is large enough, even if the population distribution itself is not normal. Since we have a large sample size of 1,000 in this case, we can assume that the sampling distribution of the sample mean is approximately normal.

The first step is to determine the standard error of the mean, which is calculated as the population standard deviation divided by the square root of the sample size. In this case:

Standard Error = 25,000 / √(1,000) = 25,000 / 31.62 ≈ 790.57

Next, we calculate the z-score for the sample mean of $52,000:

Z = (Sample Mean - Population Mean) / Standard Error

Z = (52,000 - 50,000) / 790.57 ≈ 2.5262

Using the z-score value, we find the corresponding probability in a standard normal distribution table or use a calculator with a normal distribution function to find the probability that Z is greater than 2.5262. The area to the right of this z-score represents the probability we're seeking.

Since in standard normal tables we typically find the area to the left, we subtract this value from 1:

P(Z > 2.5262) = 1 - P(Z < 2.5262)

If we assume P(Z < 2.5262) = 0.9943 (from standard normal tables), then:

P(Z > 2.5262) = 1 - 0.9943 = 0.0057

Thus, the probability that the sample mean is greater than $52,000 is approximately 0.57%.

A recent study reported that 18- to 24-year-olds average 192 restaurant visits per year. Assume that the standard deviation for number of visits per year for this age group is 56.5. To validate these findings, a random sample of forty 18- to 24-year-olds was selected and found to average 212 restaurant visits per year. Which of the following statements is correct

A.)The interval that contains 95% of the sample means is 170.3 and 213.7 visits. Because the sample mean is between these two values, we have support for the results of the May 2011 study.

B.)The interval that contains 95% of the sample means is 170.3 and 213.7 visits. Because the sample mean is between these two values, we do not have support for the results of the May 2011 study.

C.)The interval that contains 95% of the sample means is 174.5 and 209.5 visits. Because the sample mean is not between these two values, we have support for the results of the May 2011 study.

D.)The interval that contains 95% of the sample means is 174.5 and 209.5 visits. Because the sample mean is not between these two values, we do not have support for the results of the May 2011 study.

Answers

Answer:

Option C) is the correct answer.

Step-by-step explanation:

We are given the following in the question:

Mean = 192

Sample mean, [tex]\bar{x}[/tex] = 212

Sample size, n = 40

Alpha, α = 0.05

Population standard deviation, σ = 56.5

95% Confidence interval:

[tex]\mu \pm z_{critical}\dfrac{\sigma}{\sqrt{n}}[/tex]

Putting the values, we get,

[tex]z_{critical}\text{ at}~\alpha_{0.05} = 1.96[/tex]

[tex]192 \pm 1.96(\dfrac{56.5}{\sqrt{40}} ) = 192 \pm 17.5 = (174.5,209.5)[/tex]

Thus, the correction answer is

Option C)

"The interval that contains 95% of the sample means is 174.5 and 209.5 visits. Because the sample mean is not between these two values, we have support for the results of the May 2011 study."

I NEED HELP DUE IN 2 MINS!!

Answers

Answer:Triangle A

Step-by-step explanation: It has one right angle.

Answer:

THE ANSWERS A

Step-by-step explanation:

OMG GOOD LUCK!!! BECAUSE IT HAS THE AREA LAYED OUT HAVE A BLESSED DAY!!!

Find X
What Is Side BC=

Answers

Answer:

x = 2.298

Step-by-step explanation:

we have to use the sin formula which is sin = opp / hyp

sin 50 = x / 3

x = 3 sin 50

x = 2.298

Lines q and r are parallel.


Parallel lines q and r are cut by transversals s and t. The angles formed by the intersection of lines q, s, and t, clockwise from top left, are blank, 53 degrees, blank, 57 degrees, blank, blank; formed by s and r are blank, 5 x degrees, blank, blank.


What is the value of x?

14

22

53

70

Answers

Answer:

x=22

Step-by-step explanation:

The value of x is 14.

What is Coordinate System?

Arrangement of reference lines or curves used to identify the location of points in space.

Given that Parallel lines q and r are cut by transversals s and t.

The angles formed by the intersection of lines q, s, and t, clockwise from top left, are blank, 53 degrees, blank, 57 degrees,

We need to find the value of x.

The unknown angle between 53 and 57 be u

53+57+u=180

110+u=180

u=70

Now this angle is corresponding to 5x

5x=70

Divide both sides by 5

x=14

Hence, the value of x is 14.

To learn more on Coordinate System click:

https://brainly.com/question/29762404

#SPJ6

A market surveyor wishes to know how many energy drinks teenagers drink each week. They want to construct a 85% confidence interval for the mean and are assuming that the population standard deviation for the number of energy drinks consumed each week is 1.2. The study found that for a sample of 830 teenagers the mean number of energy drinks consumed per week is 7.3. Construct the desired confidence interval. Round your answers to one decimal place.

Answers

Answer:

[tex]7.3-1.440\frac{1.2}{\sqrt{830}}=7.240[/tex]    

[tex]7.3+1.440\frac{1.2}{\sqrt{830}}=7.360[/tex]    

So on this case the 85% confidence interval would be given by (7.2;7.4)  

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

[tex]\bar X=7.3[/tex] represent the sample mean

[tex]\mu[/tex] population mean (variable of interest)

[tex]\sigma =1.2[/tex] represent the population standard deviation

n=830 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex]   (1)

Since the Confidence is 0.85 or 85%, the value of [tex]\alpha=0.15[/tex] and [tex]\alpha/2 =0.075[/tex], and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.075,0,1)".And we see that [tex]z_{\alpha/2}=1.440[/tex]

Now we have everything in order to replace into formula (1):

[tex]7.3-1.440\frac{1.2}{\sqrt{830}}=7.240[/tex]    

[tex]7.3+1.440\frac{1.2}{\sqrt{830}}=7.360[/tex]    

So on this case the 85% confidence interval would be given by (7.2;7.4)    

You have inherited land that was purchased for $40,000 in 1990. The value of the land
increased by
approximately 5% per year. Which relationship would represent the value of the land in the
year 2020

Answers

Answer:

[tex]A(30)=40000(1.05)^{30}[/tex]

Step-by-step explanation:

Given that the land was purchased  for $40,000 in 1990, the initial amount/principal =$40,000

Since its value increases by approximately 5% per year, we can model this growth using the compound interest formula:

[tex]A=P(1+r)^n[/tex]

P=$40,000, r=5%=0.05, n=2020-1990=30 Years

Therefore, we have the value of the land in 30 years time to be:

[tex]A=40000(1+0.05)^{30}\\A(30)=40000(1.05)^{30}[/tex]

Since the options are not available, the relationship which represents the value of the land in the year 2020 is:

[tex]A(30)=40000(1.05)^{30}[/tex]

The manufacturer of a metal stand for home TV sets must be sure that its product will not fail under the weight of the TV. Since some larger sets weigh nearly 350 ​pounds, the​ company's safety inspectors have set a standard of ensuring that the stand can support an average of over 575 pounds. Their inspectors regularly subject a random sample of the stands to increasing weight until they fail. They test the hypothesis Upper H 0​: muequals575 against Upper H Subscript Upper A​: mugreater than575​, using the level of significance alphaequals0.01. If the sample of stands fails to pass this safety​ test, the inspectors will not certify the product for sale to the general public. The manufacturer is thinking of revising its safety test. Complete parts a through c below.

a) is this an upper-tail or lower tall test? In the context off the problem, Why is this important
This is an upper-tail test because the company wants to show the stands will hold 525 pounds (or more) easily.
This is a lower-tail test because the weight of the TV sets must be less than the strength of the stands.
This is an upper-tail test because the TV sets will be placed on top of the stands.
This is a lower-tail test because the company tests the strength of the stands by starting with a weight below the desired strength and gradual increasing it.

b) Explain what will happen if the inspectors commit a Type l error. Choose the correct answer below.
They will decide the stands are safe when they're not.
They will decide the stands will hold 350 pounds easily when in fact the stands can hold 525 pounds easily.
They will decide the stands will hold 525 pounds easily when in fact the stands can only hold 350 pounds easily.
They will decide the stands are unsafe when they are in fact safe.

c) Explain what will happen if the inspectors commit a Type II error. Choose the correct answer below.
They will decide the stands are unsafe when they are in fact safe.
They will decide the stands will hold 350 pounds easily when in fact the stands can hold 525 pounds easily.
They will decide the stands will hold 525 pounds easily when in fact the stands can only hold 350 pounds easily.
They will decide the stands are safe when they're not.

Answers

Answer:

a) "This is an upper-tail test because the company wants to show the stands will hold 525 pounds (or more) easily."

b) "They will decide the stands are safe when they're not."

c) "They will decide the stands are unsafe when they are in fact safe."

Step-by-step explanation:

a) As the alternative hypothesis Ha is μ>575, the rejection region lays in the upper tail. Then, it is an upper-tail test.

They are testing the claim that the stand supports an average of 575 pounds or more, and are looking for statistical evidence for that claim.

"This is an upper-tail test because the company wants to show the stands will hold 525 pounds (or more) easily."

b)  A Type I error happens when a true null hypothesis is rejected.

This would mean that a stands that doesn't really hold 575 pounds or more has passed the test. The stand would appear more safe than it is.

"They will decide the stands are safe when they're not."

c) A Type II error happens when a false null hypothesis failed to be rejected. In this case, a safe stand, that suports 575 pounds or more, does not pass the test.

"They will decide the stands are unsafe when they are in fact safe."

Final answer:

The hypothesis test in question is an upper-tail test aiming to prove that the stands can support more than 575 pounds. A Type I error would misclassify safe stands as unsafe, while a Type II error would incorrectly certify unsafe stands as safe.

Explanation:

a) This is an upper-tail test because the goal is to show that the metal stand can support more than the standard set weight (>575 pounds). This is vital to ensure that the product holds significantly more weight than the heaviest TVs, thereby providing a safety margin.

b) A Type I error occurs if the inspectors reject the null hypothesis when it is actually true. In this context, it means they will incorrectly deem the stands to be unsafe when they are actually safe.

c) A Type II error occurs if the inspectors fail to reject the null hypothesis when it is false. In this scenario, it means that the inspectors will wrongfully certify the stands as safe when they are, in fact, not capable of holding the standard weight.

Can someone please answer these for me?

Answers

Answer:

base : ¼

three points : (¼,1), (1,0), (4,–1)

domain : x>0

range : all real number

asymptote : x=0

Answer:

your answer would be x=0

Step-by-step explanation:

I nee to write a 5-paragraph eassy, so please help me it is base on an article name "Schools in Maryland Allow Elementary Students to Carry Cellphones, by Amanda Lenhart, The Washington Post" here are some pic. I just need help writing two paragraph. I already have my Introduction, Body Paragraph #1 and my Body paragraph #2 just need my Body paragraph #3 and my Conclusion I will give brainlis and 30 pnt.

Prompt:

Write an argumentative essay answering the questions: Should students be allowed to carry cellphones on campus? You must support your claim with evidence from the text. You may also use relevant examples from your own experience, observations, and other readings.

Directions:

Before you begin, read the text below, which presents information about the advantages and disadvantages of carrying a cell phone at school. Use the Student Writing Checklist on the back of this page to plan and write a multi-paragraph essay that addresses the prompt. Use your own words, except when quoting directly from the text.

PLEASE DONT WAST THEM

The radius of a circle is 4 yards. What is its circumference?

Answers

Answer:

See answer below

Step-by-step explanation:

Hi there,

To get started, recall the circumference formula.

[tex]C = \pi r^{2}[/tex] where π is the irrational number 3.14159... and r is the radius of the circle. Circumference is like perimeter but for a circle; it is the distance around the boundary.

[tex]C = \pi (4 \ yd)^{2}= 16\pi \ yd^{2} = 50.27 \ yd^{2}[/tex] (approximately)

thanks,

Answer:

C≈25.13yd

Step-by-step explanation:

The circumference of a circle can be found by multiplying pi ( π = 3.14 ) by the diameter of the circle. If a circle has a diameter of 4, its circumference is 3.14*4=12.56. If you know the radius, the diameter is twice as large.

Hope that was helpful.Thank you!!!

Consider rolling two number cubes, each of which has its faces numbered
from 1 to 6. The cubes will be rolled and the sum of the numbers landing
face up will be recorded. Let the event E represent the event of rolling a sum
of 5. How many outcomes are in the collection for event E?

Answers

Answer: 4 outcomes

Step-by-step explanation:

For two number cubes, the total possible outcomes are:

6 events for the first and 6 events for the second, then the total number of combinations is 6*6 = 36

If the dice are different, the possible outcomes are:

Dice 1 = 3, Dice 2 = 2

Dice 1 = 2, Dice 2 = 3

Dice 1 = 4, Dice 2 = 1

Dice 1 = 1, Dice 2 = 4

Then we have 4 outcomes in the collection for event E.

Answer:

4

Step-by-step explanation:

I did it on college board

The graph of f(t) = 4.2 shows the value of a rare coin in year t. What is the
meaning of the y-intercept?

A. When it was purchased (year 0), the coin was worth $2.

B. When it was purchased (year 0), the coin was worth $4.

C. In year 1, the coin was worth $8.

D. Every year the coin is worth 4 more dollars.

Answers

Given:

The graph of [tex]f(t)=4 \cdot 2^t[/tex] shows the value of a rare coin in year t.

We need to determine the meaning of the y - intercept.

Meaning of the y - intercept:

Here, t represents the x - axis and f(t) represents the y - axis.

The value of y - intercept is the value of y when x = 0.

Hence, the the value of f(t) can be determined by substituting t = 0 in the function [tex]f(t)=4 \cdot 2^t[/tex]

Thus, we have;

[tex]f(0)=4 \cdot 2^0[/tex]

[tex]f(0)=4[/tex]

Thus, the value of the y - intercept is 4.

The y - intercept represents the value of the rare coin in year 0.

Therefore, the meaning of the y - intercept is "When it was purchased (year 0), the coin was worth $4".

Hence, Option B is the correct answer.

Answer:

B

Step-by-step explanation:

An agent for a residential real estate company in a sub-urb located outside of Washington, DC, has the business objec-tive of developing more accurate estimates of the monthly rental cost for apartments. Toward that goal, the agent would like to use the size of an apartment, as defined by square footage to predict the monthly rental cost. The agent selects a sample of 48 one-bedroom apartments and collects and stores the data in RentSilverSpring .a. Construct a scatter plot.b. Use the least-squares method to determine the regression coef-ficients b0 and b1.c. Interpret the meaning of b0 and b1 in this problem.d. Predict the mean monthly rent for an apartment that has 800 square feet.e. Why would it not be appropriate to use the model to predict the monthly rent for apartments that have 1,500 square feet?f. Your friends Jim and Jennifer are considering signing a lease for a one-bedroom apartment in this residential neighborhood. They are trying to decide between two apartments, one with 800 square feet for a monthly rent of $1,130 and the other with 830 square feet for a monthly rent of $1,410. Based on (a) through (d), which apartment do you think is a better deal?

square feet Rent ($)
524 1110
616 1175
666 1190
830 1410
450 1210
550 1225
780 1480
815 1490
1070 1495
610 1680
835 1810
660 1625
590 1469
675 1395
744 1150
820 1140
912 1220
628 1434
645 1519
840 1105
800 1130
804 1250
950 1449
800 1168
787 1224
960 1391
750 1145
690 1093
840 1353
850 1530
965 1650
1060 1740
665 1235
775 1550
960 1545
827 1583
655 1575
535 1310
625 1195
749 1200
634 1185
641 1444
860 1385
740 1275
593 1050
880 1650
895 1340
692 1560

Answers

Answer:

Check the explanation

Step-by-step explanation:

Scatter plot

x---square feet

y---rent

SolutionA:

Kindly check the attached image below:

THERE EXISTS A WEAK POSITIVE RELATIONSHIP BETWEEN SQUARE FEET AND RENT .

AS SQUARE FEET INCREASES RENT INCREASES

SolutionB:

Rent=0.4932(squarefeet)+992.99

slope=m=0.4932

Y intercept=992.99

SolutionC:

Interpretation of slope:

slope =m=change in rent/change in square foot

For a unit increase in square feet rent increases by 0.4932

Interpretation of y intercept:

when square feet=0 rent is 992.99

Solutiond:

when squarefeet=800

Rent=0.4932(squarefeet)+992.99

=Rent=0.4932(800)+992.99

=1387.55

What Is The Answer Yo This Math Question .?

Answers

Answer:i think is [tex]30r2[/tex]

Step-by-step explanation:

Answer:

30r^3

Step-by-step explanation:

The answer is 30r^3 because first you multiply 5r and 6r and then you add the exponents of them together.

5r * 6r=30r

the exponent of 5r is two and the exponent of 6r is one so you add those together.

hope this helped

Item 16

A dresser in the shape of a rectangular prism measures 2 feet by 2 feet by 6 feet. What is the surface area of the dresser?



square feet

Answers

Answer:

Step-by-step explanation:

Given that the dresser is in shape of a rectangular prism

Note that, a rectangular prism has a shape of a cuboid

So, area of the rectangular prism is same as area of a cuboid

A = (2LB + 2LH + 2BH)

Where

L is length

B is breadth

H is height

Then, given the dimension of the rectangular prism to be

2ft by 2ft by 6ft

Then, you can assume that,

Length L = 2ft

Breadth B = 2ft

Height H = 6ft.

NOTE: you can take you assumption anyhow, there is no standard, you will get the same answer.

Then,

A = (2LB + 2LH + 2BH)

A = (2×2×2 + 2×2×6 + 2×2×6)

A = (8 + 24 + 24)

A = 56 ft²

The total surface area of the dresser is 56ft²

Answer:

Surface area of the dresser is 56ft²

Step-by-step explanation:

Surface area of a rectangular prism is expressed as S = 2(LW+LH+WH)

L is the length the prism

W is the width

H is the height

If the rectangular prism measures 2 feet by 2 feet by 6 feet

L = 2feet, W = 2feet, height = 6feet

S = 2{(2)(2)+2(6)+2(6)}

S = 2{4+12+12}

S = 2×28

S = 56ft²

A company has 2 machines that manufacture widgets. An older machine manufactures 25% defective widgets, while the new machine manufactures only 9% defective widgets. In addition, the new machine manufactures 70% of widgets while the older machine manufactures 30% widgets. Given a randomly chosen widget was tested and found to be non defective, what is the probability it was manufactured by the new machine? Round the answer to 4 decimal places.

Answers

Answer:

73.90%

Step-by-step explanation:

Let Event D=Defective,  D' = Non Defective

Let Event N=New Machine, N' = Old Machine

From the given information:

[tex]P(D|N')=0.25\\P(D|N)=0.09\\P(N)=0.7\\P(N')=0.3[/tex]

We are required to calculate the probability that a widget was manufactured by the new machine given that it is non defective.  

i.e. [tex]P(N|D')[/tex]

[tex]P(D'|N')=1-P(D|N')=1-0.25=0.75\\P(D'|N)=1-P(D|N)=1-0.09=0.91[/tex]

Using Baye's Law of conditional Probability

[tex]P(N|D')=\dfrac{P(D'|N)P(N)}{P(D'|N)P(N)+P(D'|N')P(N')} \\=\dfrac{0.91*0.7}{0.91*0.7+0.75*0.3}\\ =0.73897\\\approx 0.7390[/tex]

Therefore given that a selected widget is non-defective, the probability that it was manufactured by the new machine is 73.9%.

How do I do a triangles heirarchy

Answers

Answer:

measure each side of the triangle and make sure it is right and then graph is out.

Step-by-step explanation:

A triangle has sides of length 7 cm, 4 cm, and 5 cm. How many triangles can be drawn that fit this description?
25
0
2
1

Answers

It's a goofy question.  These sides satisfy the triangle inequality, 7 < 4+5, so we can draw as many triangles as we care to with those sides.

The more interesting question is how many non-congruent triangles can we draw with those sides?   The answer is only 1, because by SSS all triangles with those sides will be congruent.

If we're asking about how many triangles with these sides cannot be mapped to each other through translation and rotation, the answer is two, basically a pair of reflected copies.

So much for deconstructing this lousy question.  Let's go with

Answer: 1

When two triangles are congruent, corresponding sides and angle both are equal.

Only one triangle can be drawn that fit the given description.

Congruent triangle:

it is given that, A triangle has sides of length 7 cm, 4 cm, and 5 cm.

Two triangles that have corresponding congruent sides are congruent (SSS).

If triangle ABC has the sides AB=7 cm, AC=4 cm, BC=5 cm  and the triangle MNP has MN=7 cm, MP=4 cm, and PN=5 cm then

                    [tex]AB=MN=7 cm\\\\AC=MP=4 cm\\\\BC=PN=5cm[/tex]

Hence,  based on the axiom of congruent triangles side–side–side (SSS) triangle ABC is congruent with triangle MNP.

Learn more about the triangles here:

https://brainly.com/question/1058720?referrer=searchResults

Other Questions
5/6k=4/7 what does k equal? Suppose that you want to find the molarity of a solution that contains 15.0 g of KCI in 150.0 mL of solution.(The molar mass of KCl is 74.45 g/mol.)Calculate the number of moles of KCI: Hydroxyapatite, Ca 10 ( PO 4 ) 6 ( OH ) 2 , has a solubility constant of Ksp = 2.34 10 59 , and dissociates according to Ca 10 ( PO 4 ) 6 ( OH ) 2 ( s ) 10 Ca 2 + ( aq ) + 6 PO 3 4 ( aq ) + 2 OH ( aq ) Solid hydroxyapatite is dissolved in water to form a saturated solution. What is the concentration of Ca 2 + in this solution if [ OH ] is fixed at 1.80 10 6 M ? each set of orther pairs (x, y) represents a relashionship with imput, x, and output, y. which relatonship is a function? a. {(0,1), (0,2), (0,3)} b. {(1,1), (2,2), (3,3)} c. {(1,1),(2,1),(3,1)} d. {(1,1),(2,2),(2,-2)} e. {(1,-1),(2,-2).(3,-3)} what dramatically increased american interest in moving west ? There are 30 blue cubes in the box.What is the total number of cubes in the box Once someone mars, or hurts, your reputation, is it hard to rebuild? Use evidence from The Crucible to supportyour response. Write 2-4 complete sentences. In Mrs. Smiths enrichment class, 25% of the students are boys. There are 7 boys in the class. How many total students are in Mrs. Smiths enrichment class? 945 times 134 is equal to what Use the map below to answer the following question:A map of the European Union. The member nations include Austria, Belgium, Bulgaria, Cyprus, Czech Republic, Denmark, Estonia, Finland, France, Germany, Greece, Hungary, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, the Netherlands, Poland, Portugal, Romania, Slovakia, Slovenia, Spain, Sweden, and the United Kingdom. Candidate nations include Croatia, Romania, Bulgaria, Turkey, and Macedonia. Non-EU nations include: Iceland, Norway, Switzerland, Belarus, Ukraine, Russia, Moldova, Serbia, Albania, Bosnia and Herzegovina, and Montenegro. Which statement is supported by the map?A. Most Eastern European nations are candidate countries.B. All of the Western European nations are part of the European Union.C. All European nations want to be part of the European Union.D. Most European nations are part of the European Union. What is a series?A sequence of numbers separated by commas.A sequence of numbers summed together.Numbers that are put in a group. Pension plans are required to report two schedules, a schedule of funding progress and a schedule of employer contributions as required supplementary information (RSI) in their stand-alone financial reports and in pension plan financial information reported in the CAFR of sponsoring government. True False Unscramble the french sentences: 1.sympa que le Jaime prof langlais est parce2.amusant cest que parce sport le Jadore3.de beaucoup avons-nous que parce lhistoire pas naime Je devoirs4. que parce technologie l Jaime intressant cest5.cest, franais Le prfre matire ma6.la gographie naime svre prof parce pas est que l Je trop. 7.Le facile thtre est8.est Le ennuyeux sportFrench people. Please help. Write the equation of the line that passes through the given points.(2,7.5) and (0, -1.5) The county cleared this "path and paved" it with packed gravel, so they would have a peaceful place to hike and bike.Which of the following alternatives to the quoted portion would NOT be acceptable?A path, pavingB path and then pavedC path before pavingD path paved z^4=-625 please help!!!!!!!!! Andrea had worked in the marketing department for 27 years. She knows the history and successes of the office better than any other employee. When change is suggested, she is reluctant because she remembers accomplishments related to the current way of doing things. As a result of ____, she is resistant to change. Andrew has a container with 80 game pieces that are different colors.He knows that the probability of choosing a green piece at random from the container is 0.2 and the probability of choosing a yellow piece at random from the container is 0.45. What is the total number of yellow game pieces in the container? How many solutions does the system have? 6x-y=-1 6x+y=-1 Read the paragraphs.Sage and Stella were having a blast at the dog park. The minute they arrived, they took turns fetching the ball that their owner threw for them. They played chase with other dogs and even did the doggie obstacle course a few times. They loved wrestling, running, and jumping around without their leashes to hold them back. It made their owner happy to see the dogs having so much fun, but the day wasnt over yet!The owner loaded the dogs into the car and headed for the bank. The attendant at the drive-through window there always had dog treats for Sage and Stella.Select the revision a writer should make to the second paragraph to best clarify the order of events.(?) the owner loaded the dogs into the car and headed for the bank. The attendant at the drive-through window there always had dog treats for Sage and Stella.A) After the park,B) For the last time,C) Meanwhile,D) The next day,