what is 20000 x 50000

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%.

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]

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:

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

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:

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)    

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

The given options are:

Answer:

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,

If we subtract x from both sides

x+y-x=-x+20

In Option E

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

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%.

Answer:

c

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

Answer:

in fraction form: -1/36, 1/216, -1/1296

in decimal form: -.03, .005, -.0008

Step-by-step explanation:

Each term is the previous term divided by -6:

-36 ÷ -6= 6

6 ÷ -6= -1

and so on...

-1/36

The numbers divide by -6 each time

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!!!

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

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

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]

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

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.

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:

The requried, water depth is less than the minimum required depth of 4 inches, and the water is not deep enough for the flowers.

To determine if the water depth in the spherical vase is sufficient for the flowers, we need to compare the height of the water to the minimum required depth of 4 inches.

Given that the surface of the water forms a circle with a diameter of 5 inches, we can calculate the radius of this circle by dividing the diameter by 2.

Radius = Diameter / 2

Radius = 5 inches / 2

Radius = 2.5 inches

Since the shape of the vase is spherical, the water depth will be equal to the radius.

Therefore, the water depth in the spherical vase is 2.5 inches.

Since the water depth is less than the minimum required depth of 4 inches, the water is not deep enough for the flowers.

Learn more about circle here:
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Final answer:

Given that the spherical vase’s surface water diameter is 5 inches, translating to a radius of 2.5 inches at the water's surface level, the maximum depth at the center might be close to 2.5 inches, falling short of the 4 inches required for fresh cut flowers. Therefore, the water is not deep enough for the flowers.

Explanation:

The question asks if the water in a spherical vase, with a surface diameter of 5 inches, is adequate (at least 4 inches deep) for fresh cut flowers. To determine this, we need to consider the properties of a sphere and how the depth of water relates to its diameter.

Since the diameter of the water's surface is given as 5 inches, the radius of the spherical vase (at the water's surface level) is 2.5 inches. The depth of the water in a spherical vase does not evenly translate to its diameter because the shape curves upwards from every point on its surface. However, considering that the vase is filled to a level where the diameter is 5 inches, we must acknowledge that the depth in the very center might be more but decreases as we move towards the edge of the water's surface.

Given the spherical shape, the maximum depth of the water could be close to the radius of 2.5 inches in the center, assuming the vase is filled to exactly half its height. This depth is less than the required 4 inches for fresh cut flowers. Therefore, without a specific height indication of the water level relative to the vase's total height, and based on the central depth potentially being 2.5 inches at most, it is unlikely the flowers would have the required 4 inches of water depth across the entirety of the vase's base.

Answer:

x=22

Step-by-step explanation:

The value of x is 14.

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.

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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.

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:

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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

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!

Answer:

QS + QR > RS

QR + RS > QS

RS + QS > QR    

Step-by-step explanation:

    ∧ ∧

( Ф∨Ф)

Answer:

hm here <3

Step-by-step explanation:

1 RS

2 QS

3 QR

<3

Answer:95 degrees

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

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

Answer:

82%

Step-by-step explanation:

Final answer:

The probability that Sophia was assigned Golem given that her software crashed is approximately 82%, calculated using Bayes' Theorem.

Explanation:

When software crashes and we want to know the likelihood Sophia was using Golem, we need to consider both the probability of being assigned Golem and the probability of that software crashing. This is known as the application of Bayes' Theorem, which is a way to find conditional probabilities. In this case, we calculate as follows:

We want to find the probability that Sophia was assigned Golem given that her software crashed (P(G|C)). We use the formula:

P(G|C) = (P(C|G) * P(G)) / (P(C|G) * P(G) + P(C|F) * P(F))

Inserting the above probabilities yields:

P(G|C) = (0.10 * 7/10) / ((0.10 * 7/10) + (0.05 * 3/10))

P(G|C) = 0.07 / (0.07 + 0.015)

P(G|C) = 0.07 / 0.085

P(G|C) = 0.8235 or approximately 82%

Expressed as a whole-number percentage, the probability that Sophia was using Golem is 82%.

Answer:

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

Step-by-step explanation:

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]

Answer:

£155

Step-by-step explanation:

look at the formula

first solve 12 minutes per light switches

12*10(lightswitches)= 120 minutes

we know that 120 minutes = 2 hours

the task says that she charges £30 per hour

so, 2 hours+ 2 hours= 4 hours

now do

4*30= £120

120+35(call-out fee)= £155

I really hope this helped.