4x-6 + 2x = 18
What’s the answer

Answers

Answer 1

Answer:

x=4

Step-by-step explanation:

4x-6 + 2x = 18

Combine like terms

6x -6 = 18

Add 6 to each side

6x-6+6 =18+6

6x = 24

Divide each side by 6

6x/6 = 24/6

x =4


Related Questions

Multiply the polynomials. (2x+1)(x−5)

Answers

Answer:

2x^2-9x-5

Step-by-step explanation:

Just multiply

Answer:

2x^2-9x-5

Step-by-step explanataion:

multiply

How can you best describe a stop sign using
polygons?
The sign has 8 sides, so it is an octagon
It appears to be
because the sides and
angles appear to be congruent.
STOP
Dene

Answers

Answer:

The answer to the last one is regular

Step-by-step explanation:

A polygon is a planar figure defined by a finite number of straight-line segments. The polygon that best describes a stop sign is a regular polygon.

What is a polygon?

A polygon is a planar figure defined by a finite number of straight-line segments that are joined to form a closed polygonal chain in geometry. A polygon can be defined as a bounded planar region, a bounding circuit, or both.

The polygon that best describes a stop sign is a regular octagon because a stop sign has 8 sides and the length of each side is the same, therefore, the polygon will be a regular polygon.

Thus, the polygon that best describes a stop sign is a regular polygon.

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Find the Laplace transform of the given function: f(t)=(t−5)u2(t)−(t−2)u5(t), where uc(t) denotes the Heaviside function, which is 0 for t

Answers

[tex]f(t)=(t-5)u_2(t)-(t-2)u_5(t)[/tex]

The Laplace transform is

[tex]F(s)=\displaystyle\int_0^\infty f(t)e^{-st}\,\mathrm dt=\int_2^\infty(t-5)e^{-st}\,\mathrm dt-\int_5^\infty(t-2)e^{-st}\,\mathrm dt[/tex]

Integrate by parts; in the first integral, take

[tex]u=t-5\implies\mathrm du=\mathrm dt[/tex]

[tex]\mathrm dv=e^{-st}\,\mathrm dt\implies v=-\dfrac{e^{-st}}s[/tex]

[tex]\implies\displaystyle\int_2^\infty(t-5)e^{-st}\,\mathrm dt=-\frac{e^{-st}}s(t-5)\bigg|_2^\infty+\frac1s\int_2^\infty e^{-st}\,\mathrm dt[/tex]

[tex]=-\dfrac{3e^{-2s}}s-\dfrac{e^{-st}}{s^2}\bigg|_2^\infty[/tex]

[tex]=-\dfrac{3e^{-2s}}s+\dfrac{e^{-2s}}{s^2}=-\dfrac{(3s-1)e^{-2s}}{s^2}[/tex]

For the second integral, take

[tex]u=t-2\implies\mathrm du=\mathrm dt[/tex]

[tex]\mathrm dv=e^{-st}\,\mathrm dt\implies v=-\dfrac{e^{-st}}s[/tex]

[tex]\implies\displaystyle\int_5^\infty(t-2)e^{-st}\,\mathrm dt=-\dfrac{(t-2)e^{-st}}s\bigg|_5^\infty+\frac1s\int_5^\infty e^{-st}\,\mathrm dt[/tex]

[tex]=\dfrac{3e^{-5s}}s-\dfrac{e^{-st}}{s^2}\bigg|_5^\infty[/tex]

[tex]=\dfrac{3e^{-5s}}s+\dfrac{e^{-5s}}{s^2}=\dfrac{(3s+1)e^{-5s}}{s^2}[/tex]

So we have

[tex]F(s)=\dfrac{(3s+1)e^{-5s}-(3s-1)e^{-2s}}{s^2}[/tex]

Much like sound bytes of news​ stories, statistical studies are often reduced to​ one- or​ two- sentence​ stat-bytes. For the following​ stat-byte, discuss what crucial information is missing and what more you would want to know before acting on the study. A cable network reports on a survey of​ America's top restaurants that found that​ "only nine restaurants achieved a rare 29 out of a possible 30 rating and none of those restaurants are in the Big​ Apple." Which of the following are crucial information that you would want to know before acting on the​ study? Select all that apply.

A. The goal of the study
B. How the quality of restaurants was measured
C. The variable of interest
D. Who the respondents in the survey were
E. How the respondents were selected

Answers

Final answer:

To make informed decisions based on a statistical study about restaurants, it's critical to understand the goal of the study, how the quality was measured, what the variable of interest was, who the respondents were and how they were selected.

Explanation:

The crucial information that would need to know before acting on the study mentioned in the question includes all of the options provided and more. Let's discuss each option in detail:

A. The goal of the study. This would provide context and help to determine why these specific variables were chosen and measured. Without a clear goal, interpreting findings can be difficult.

B. How the quality of restaurants was measured. It's important to understand how the '29 out of 30' rating was developed - what specific factors led to this score. If the rating system or measurement techniques are flawed, the results could possibly be inaccurate.

C. The variable of interest. It would be necessary to understand what variable is being measured. Is it the food quality, service, ambiance, or some other factor of a restaurant's operation?

D. Who the respondents in the survey were. The demographic and social details of the respondents are also vital. If all respondents are from a certain group (for example, high-income people), results may not be representative for the general public.

E. How the respondents were selected. This would throw light on the methodology and the degree to which the findings can be generalized to the larger population.

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store sold combined totalof 412 biology and math books in a week. the number of biology textbooks sold was three times the number of math books sold. how many textbooks of each type were sold?​

Answers

Step-by-step explanation:

Total books sold = 412

So if there are 103 maths books then biology books should be three times = 103 × 3 = 309

So when we add 103 + 309 = 412

It means the number of biology books is 309 and maths book is 103

Evaluate: 955-105 x 4 +118

Answers

Answer: −420x+1073

Step-by-step explanation:

Let's simplify step-by-step.

955−105x(4)+118=955+−420x+118

Combine Like Terms:

=955+−420x+118=(−420x)+(955+118)=−420x+1073

Answer: =−420x+1073

I did it on my calculator and it got 653. The calculator is never wrong.

Find the equation of a quadratic function from its graph|​

Answers

Answer:

U shape

Step-by-step explanation: look for a U shape and youll have chosen a quadratic function but find the vertex and put them into the format then find the slope

The length of the rectangle is 4 less than twice the width . The perimeter is 28 . Find the length and width .

Answers

Answer:

Length=8 and width=6

Step-by-step explanation:

The length of the rectangle is 4 less than twice the width, let l stand for length and w for width: l=2w-4

The perimeter is equal to 28 and the formula for the perimeter of a rectangle is 2l+2w: 28=2l+2w

Substitute l into the equation:

28=2(2w-4)+2w

28=4w-8+2w

28=6w-8

36=6w

w=6

Find for l:

l=2w-4

l=2(6)-4

l=12-4

l=8

Which operation is performed in the derivation of the quadratic formula moving from Step 6 to Step 7? subtracting StartFraction b Over 2 a EndFraction from both sides of the equation squaring both sides of the equation taking the square root of both sides of the equation taking the square root of the discriminant

Answers

Answer: C. Taking the square root of both sides of the equation.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

i got it right

Given the following equation:

4(x + 2) = 20

Use the two methods you have learned to eliminate the parentheses and create a new equation that can be solved using inverse operations.

One method is to use the distributive property.

Using this method, the equivalent equation is .
Another method is to use the reciprocal.

Using this method, the equivalent equation is .

Answers

Answer: useing the distributive property the method is 4x+8=20

using the reciprocal the method is x+2=5

Step-by-step explanation:

Answer:

Using this method, the equivalent equation is 4x+8=20.

Another method is to use the reciprocal.

Using this method, the equivalent equation is x+2=5.

Step-by-step explanation:

IT IS CORRECT

A bread recipe calls for 1 teaspoon of yeast for every 2
cups of flour.
Write an equation that represents the number of cups of
flour, c, for every teaspoon of yeast, t.

Answers

       Equation representing the cups of flour for every teaspoon of yeast will be → c = 2t

Proportional relation between two variables:  If a variable 'y' is directly proportional to another variable 'x', expression will be,

          y ∝ x

          y = kx [Here, k = proportionality constant]

It has been given in the question,

"A bread recipe calls for 1 teaspoon of yeast for every 2 cups of flour."

If the number of teaspoons of yeast is represented by 't' and number of cups of flour by 'c',

c = kt

From the given statement,

2 = k × 1

k = 2

    Therefore, equation for the given statement will be → c = 2t

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The Shady Farm Milk Company can process milk at a fixed rate of 7500 gallons/hour. The company’s clients request 100,000 gallons of milk over the course of one day. This demand is spread out uniformly from 8 a.m. to 6 p.m. The company starts producing at 8 a.m. and continues to work until all of the demand has been satisfied. At noon, how many gallons of milk are in the queue to be processed?

Answers

Final answer:

At noon, the Shady Farm Milk Company has 10,000 gallons of milk in the queue to be processed given the demand and the processing rate.

Explanation:

The Shady Farm Milk Company can process 7500 gallons of milk per hour. Given that the company operates from 8 a.m. to 6 p.m., this is a total of 10 hours of operation in a day. Therefore, in 10 hours, the company can process 7500 × 10 = 75,000 gallons of milk.

However, the demand for milk is 100,000 gallons over the course of the day. Therefore, by noon, the company has been operating for 4 hours, meaning they can process 7500 × 4 = 30,000 gallons.

The demand over the same 4 hours period (from 8 a.m. to noon) is calculated by dividing the total demand over the entire course of the day (which is evenly spread) by the number of operating hours. Thus: 100,000 / 10 = 10,000 gallons/hour.

Consequently, the demand from 8 a.m. to noon is: 10,000 × 4 = 40,000 gallons. So, the amount of milk in the queue at noon would be the demand minus what the company has processed at that time.

Hence: 40,000 (demand from 8 a.m. to noon) - 30,000 (processed milk from 8 a.m. to noon) = 10,000 gallons. Therefore, at noon, the company has 10,000 gallons of milk in the queue to be processed.

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At noon, there are 20,000 gallons of milk in the queue to be processed.

To find out how many gallons of milk are in the queue to be processed at noon, we first need to calculate how many gallons of milk have been processed by noon.

The company can process milk at a fixed rate of 7500 gallons per hour. From 8 a.m. to noon, there are 4 hours.

Total gallons processed by noon = Rate of processing Time

[tex]\[ = 7500 \, \text{gallons/hour} \times 4 \, \text{hours} = 30000 \, \text{gallons} \][/tex]

Now, we need to find out how many gallons of milk are still in demand by noon. The total demand over the course of the day is 100,000 gallons, and it is spread out uniformly from 8 a.m. to 6 p.m.

This means that by noon, half of the day has passed.

So, the total demand by noon = Total demand / 2

[tex]\[ = \frac{100000}{2} = 50000 \, \text{gallons} \][/tex]

Now, to find out how many gallons are in the queue to be processed at noon, we subtract the gallons already processed from the total demand:

Gallons in the queue at noon = Total demand by noon - Gallons processed by noon

[tex]\[ = 50000 \, \text{gallons} - 30000 \, \text{gallons} = 20000 \, \text{gallons} \][/tex]

So, at noon, there are 20,000 gallons of milk in the queue to be processed.

Solve the division problem. Round answer to the nearest hundredth.

9.2.15 2.0 6 3

Answers

Answer:

6

Step-by-step explanation:

The image of the lemon is at point I. What is the size of the image compared to the size of the lemon?

Answers

same size...hope this helps :)))))

Greg Evaluated has And found that he was spending $50 more per month on Utilities that he has budgeted. He can transfer money from other categories To increase his utility budget to $125 per month. If his total monthly income is $2400 To the nearest percent, what Percent of his monthly income will be budgeted for utilities?

Answers

Answer:

22%

Step-by-step explanation:

Answer:

5%

Step-by-step explanation:

There are two ways to solve this

a fast way: 125/2400 which equals approx 0.05208

when you convert this to a percentage it is about 5%

another way is take 2400 has 100% and 125 as x%

so

125/2400 = x/100

cross multiply so

2400x = 12500

then

x= 12500/2400 which simplifies to about

5.208. since this was out of 100 from the start you don't need to convert it to percentage form

Select each polynomial that is a perfect square.
Question 5 options:


x2−10x−25



4x2−12x+9



9x2+12x+16



16x2+16x+1

Answers

Answer:

  4x^2−12x+9

Step-by-step explanation:

The form of a perfect square trinomial is ...

  (a +b)² = a² +2ab +b²

The first and last terms must be positive and perfect squares. The middle term must be twice the product of their roots (possibly with a minus sign).

  x^2 -10x -25 . . . . -25 is not a positive perfect square

  4x^2 -12x +9 . . . . 12x = 2√(4x^2·9) = 2·6x . . . . perfect square

  9x^2 +12x +16 . . . 12x ≠ 2√(9x^2·16) = 2·12x

  16x^2 +16x +1 . . .  16x ≠ 2√(16x^2·1) = 2·4x

A rePrism measures 6.7 cm by 3.2 cm by 9 cm what is the volume of the rectangle prism

Answers

Answer:

The volume is 192.96

Step-by-step explanation:

You multiply length x width x height to find the volume.

Find two positive numbers such that the ratio of the two numbers is 7 to 3 and the product of the two numbers is 525.

Answers

Answer:

35 and 15

Step-by-step explanation:

Process of elimination:

Try 105 and 5 - 105 is way too much and 5 is way too little. We know that they are between 5 and 105.

Try 50 and 10.5 - This is closer, but 50 is still too much and 10.5 is too little. We now know that the two numbers are between 10.5 and 50

Try 30 and 17.5 - This is very close, but now 30 is not enough and 17.5 is too much. We now know that the smaller number is between 10.5 and 17.5 as well as the larger number is between 30 and 50.

Try 40 and 13.125 - This is also very close, but 40 is too much and 13.125 is too little. We now know that the lower number is between 13.125 and 17.5 as well as the larger number is between 30 and 40.

Try 35 and 15 - Success: 35 and 5 make the simplified ratio of 7:3! They also are products of 525!

Final answer:

The two positive numbers with a ratio of 7 to 3 and a product of 525 are found to be 35 and 15, by assigning a constant to the numbers, forming and solving a quadratic equation to find the value of the constant, and then using it to find the two numbers.

Explanation:

To find two positive numbers where their ratio is 7 to 3, and their product is 525, we can assign values x and y to the numbers such that x/y = 7/3, and x*y = 525. We can solve these equations simultaneously to find the values of x and y.

Step-by-step solution:

Let the two numbers be 7k and 3k, where k is a constant. This ensures that the ratio 7 to 3 is preserved.Since the product of the two numbers is 525, we have that 7k * 3k = 525.Combining like terms, we get 21k^2 = 525.Dividing both sides by 21 gives k^2 = 25.Taking the square root of both sides, we find that k = 5.Substitute k = 5 back into 7k and 3k to find the two numbers: 7*5 = 35 and 3*5 = 15.

Therefore, the two numbers are 35 and 15.

change the decimal number 3.5 into a mixed number​

Answers

Answer: [tex]3\frac{1}{2}[/tex]

Multiply

[tex]3.5/1*10/10=35/10[/tex]

Divide each side by 5

[tex]35/10[/tex]  ÷  [tex]5/5=7/2[/tex]

[tex]7/2=3\frac{1}{2}[/tex]

Answer:

[tex] \frac{3.5}{1} \frac{ \times }{ \times } \frac{10}{10} = \frac{35}{10} \\ \frac{35}{10} \frac{ \div }{ \div } \frac{5}{5} \\ = \frac{7}{2} = 3 \frac{1}{2} [/tex]

hope this helps you...

If you put $6.57 into a savings account that earns 4%, how much interest

will you receive at the end of eight years?

Answers

The interest for 8 years is $2.10

Step-by-step explanation:

Principal amount (p) = $6.57

Rate of interest (r) = 4%

Time (t) = 8 years

Interest = (p x r x t) /100

= (6.57 x 4 x 8) /100

= 210.24/100

= 2.10

The interest for 8 years is $2.10

1. Solve for x.

Need help in math

Answers

Answer:

21 maybe?

Step-by-step explanation:

if those numbers represent lengths and those lines are the same size, x is 21

Find the diameter of the circle with the given circumference use 3.14 C=18

Answers

The formula for the circumference of a circle is pi * r * 2

First we solve for r (the radius)
pi*r*2 = C
pi*r*2 = 18

Divide 18 by 2
pi*r = 9

Then divide 9 by 3.14
pi= 9/3.14 which is 2.866

The diameter is 2 times length of the radius so multiply 2.866 by 2
The diameter is about 5.732
(And you can round of course)

Hope that helped

Suppose that on a true/false exam you have no idea at all about the answers to three questions. You choose answers randomly and therefore have a 50–50 chance of being correct on any one question. Let CCW indicate that you were correct on the first two questions and wrong on the third, let WCW indicate that you were wrong on the first and third questions and correct on the second, and so forth. a. List the elements in the sample space whose outcomes are all possible sequences of correct and incorrect responses on your part. b. Write each of the following events as a set and find its probability: (i) The event that exactly one answer is correct. (ii) The event that at least two answers are correct. (iii) The event that no answer is correct.

Answers

Answer:

a.

[tex]\text{Sample Space} = \{ CCC,CCW,CWW,WWW,WWC,WCC,WCW,CWC \}[/tex]

b.

(i)  1/2

(ii) 2/3

(iii) 1/6

Step-by-step explanation:

a.

The sample space is the list of all possibilities.

[tex]\text{Sample Space} = \{ CCC,CCW,CWW,WWW,WWC,WCC,WCW,CWC \}[/tex]

b.

(i)

If exactly one answer is correct the favorable outcomes are

CWW , WCW , WWC.

And the probability would be 3/6 = 1/2.

(ii)

If at least two answers are correct then the favorable outcomes are

CCC,CCW,WCC,CWC

and the probability is 4/6 = 2/3.

(iii)

If  no answer is correct, the favorable outcomes are

WWW

and the probability is  1/6.

Order the decimals from least to greatest 7.508,5.2161,7.5,7.58

Answers

Answer:

5.2161,7.5,7.508,7.58

Step-by-step explanation:

Answer:

5.2161; 7.5; 7.508; 7.58

Step-by-step explanation:

-First you will look at the first digit of each number given, obviously 5 is the smallest so it will go first

-Then you will check the following number after the first digit to see which one is smaller of the "7" values. In this case, they all have the number "5" has their second value, so we move on to the third digit.

-Since "7.5" does not have a third digit, it will be the smallest of the number "7" values.

-We then have a remaining of two values, 7.508 and 7.58. Still looking at the third numbers of each of the two, we see "0" and "8," and obviously 0 is smaller than 8, so 7.508 is smaller than 7.58

Please hurry i don't have much time left!


If this rectangle is dilated using a scale factor of One-half through point B, what is the result?

Answers

Answer:

Check below

Step-by-step explanation:

That's too bad you haven't attached a rectangle.

Here's an example, with the data you've typed in.

1) When we dilate a rectangle we either grows it or shrink it through a scale factor.

Check the first picture below.

The New Dilated Rectangle A'B'C'D' will follow its coordinates, when the Center of Dilation is at its origin(Middle):

[tex]D_{A'B'C'D'}=\frac{1}{2}(x,y)[/tex]

2) But In this question, B is the center of Dilation. So, Since B is the Dilation Point B=B' .  And More importantly:

[tex]\bar{AB}=\frac{1}{2}\bar{A'B'}\\\bar{CD}=\frac{1}{2}\bar{C'D'}\\\bar{AC}=\frac{1}{2}\bar{A'C'}\\\bar{CD}=\frac{1}{2}\bar{C'D'}\\[/tex]

3) So check the pictures below for a better understanding.

Answer:

Pretty sure its B

Suppose Julio is a veterinarian who is doing research into the weight of domestic cats in his city. He collects information on 131 cats and finds the mean weight for cats in his sample is 10.87 lb with a standard deviation of 4.31 lb. What is the estimate of the standard error of the mean (SE)

Answers

Answer:

Estimate of the standard error of the mean = 0.38 lb

Step-by-step explanation:

We are given the following in the question:

Sample mean, [tex]\bar{x}[/tex] = 10.87 lb

Sample size, n = 131

Standard deviation, σ = 4.31 lb

We have ti find the estimate of the standard error of the mean.

Formula for standard error:

[tex]S.E= \dfrac{\sigma}{\sqrt{n}}[/tex]

Putting values, we get,

[tex]S.E = \dfrac{4.31}{\sqrt{131}} = 0.3766 \approx 0.38[/tex]

0.38 lb is the standard error of the mean.

Use the normal distribution to find a confidence interval for a proportion p given the relevant sample results. Give the best point estimate for p, the margin of error, and the confidence interval. Assume the results come from a random sample. A 99% confidence interval for p given that p-hat = 0.34 and n= 500. Point estimate ___________ (2 decimal places) Margin of error __________ (3 decimal places) The 99% confidence interval is ________ to _______ (3 decimal places)

Answers

Answer:

(a) The point estimate for the population proportion p is 0.34.

(b) The margin of error for the 99% confidence interval of population proportion p is 0.055.

(c) The 99% confidence interval of population proportion p is (0.285, 0.395).

Step-by-step explanation:

A point estimate of a parameter (population) is a distinct value used for the estimation the parameter (population). For instance, the sample mean [tex]\bar x[/tex] is a point estimate of the population mean μ.

Similarly, the the point estimate of the population proportion of a characteristic, p is the sample proportion [tex]\hat p[/tex].

The (1 - α)% confidence interval for the population proportion p is:

[tex]CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The margin of error for this interval is:

[tex]MOE= z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The information provided is:

[tex]\hat p=0.34\\n=500\\(1-\alpha)\%=99\%[/tex]

(a)

Compute the point estimate for the population proportion p as follows:

Point estimate of p = [tex]\hat p[/tex] = 0.34

Thus, the point estimate for the population proportion p is 0.34.

(b)

The critical value of z for 99% confidence level is:

[tex]z={\alpha/2}=z_{0.01/2}=z_{0.005}=2.58[/tex]

*Use a z-table for the value.

Compute the margin of error for the 99% confidence interval of population proportion p as follows:

[tex]MOE= z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

          [tex]=2.58\sqrt{\frac{0.34(1-0.34)}{500}}[/tex]

          [tex]=2.58\times 0.0212\\=0.055[/tex]

Thus, the margin of error for the 99% confidence interval of population proportion p is 0.055.

(c)

Compute the 99% confidence interval of population proportion p as follows:

[tex]CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

[tex]CI=\hat p\pm MOE[/tex]

     [tex]=0.34\pm 0.055\\=(0.285, 0.395)[/tex]

Thus, the 99% confidence interval of population proportion p is (0.285, 0.395).

Final answer:

The point estimate for p is 0.34. The margin of error, calculated using a z-score of 2.576, is 0.034. The 99% confidence interval is from 0.306 to 0.374.

Explanation:

This question is about calculating a confidence interval for a proportion using the normal distribution. The best point estimate for p is the sample proportion, p-hat, which is 0.34.

For a 99% confidence interval, we use a z-score of 2.576, which corresponds to the 99% confidence level in a standard normal distribution. The formula for the margin of error (E) is: E = Z * sqrt[(p-hat(1 - p-hat))/n]. Substituting into the formula, E = 2.576 * sqrt[(0.34(1 - 0.34))/500] = 0.034.

The 99% confidence interval for p is calculated by subtracting and adding the margin of error from the point estimate: (p-hat - E, p-hat + E). The 99% confidence interval is (0.34 - 0.034, 0.34 + 0.034) = (0.306, 0.374).

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The radius of the large sphere is times longer than the radius of the small sphere.

How many times the volume of the large sphere is the volume of the small sphere?

A-1/27

B-1/18

C-1/9

D-1/3

Answers

Answer:

1/3

Step-by-step explanation:

You can try it I keep getting 3 so maybe that’s the answer

1/3, because 18.6 / 3 = 6.2

Which expression could be used to determine the area of the triangle shown? One-half + 12 and one-third + 3 One-half (3) (12) (one-third) 12 and one-third times 3 One-half (12 and one-third) (3)

Answers

Answer:

The answer is  D.

Step-by-step explanation:

For the 405 highway that car pass through a checkpoint, assume the speeds are normally distributed such that μ= 61 miles per hour and δ=4 miles per hour. Calculate the Z value for the next car that passes through the checkpoint will be traveling slower than 65 miles per hour.

Answers

Answer:

[tex]Z = 1[/tex]

Step-by-step explanation:

Z - score

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 = 61, \sigma = 4[/tex]

Calculate the Z value for the next car that passes through the checkpoint will be traveling slower than 65 miles per hour.

This is Z when X = 65. So

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

[tex]Z = \frac{65 - 61}{4}[/tex]

[tex]Z = 1[/tex]

Other Questions
An important component of the lamina propria in the upper respiratory system is How does the Genet Affair impact Spains relationship with the US? i need the steps for 25 Do organic farms usually require more or less labor than nonorganic farms? Suzy contributed assets valued at $360,000 (basis of $200,000) in exchange for her 40% interest in Suz-Anna GP (a general partnership in which both partners are active owners). Anna contributed land and a building valued at $640,000 (basis of $380,000) in exchange for the remaining 60% interest. Anna's property was encumbered by qualified nonrecourse financing of $100,000, which was assumed by the partnership. The partnership reports the following income and expenses for the current tax year. Sales $560,000 Utilities, salaries, depreciation, and other operating expenses 360,000 Short-term capital gain 10,000 Tax-exempt interest income 4,000 Charitable contributions (cash) 8,000 Distribution to Suzy 10,000 Distribution to Anna 20,000 During the current tax year, Suz-Anna refinanced the land and building (i.e., the original $100,000 debt was repaid and replaced with new debt). At the end of the year, Suz-Anna held recourse debt of $100,000 for partnership accounts payable (recourse to the partnership but not personally guaranteed by either of the partners) and qualified nonrecourse financing of $200,000. a. What is Suzy's basis in Suz-Anna after formation of the partnership The partial factorization of x2 3x 10 is modeled with algebra tiles. In each simulation trial, you changed the number of people and measured the number of _ people in the population.Therefore, the independent variable was the number of people who were_ , and the dependent variable was the number of people who were _. During routine maintenance on your server, you discover that one of the hard drives on your RAID array is starting to go bad. After you replace the drive and rebuild the data, you run diagnostics on the RAID controller card with no problems, so you believe you fixed the problem. The next morning you arrive at work and discover that the RAID has completely failed. None of the disks are working. Your server is still running because you installed the OS on a non-RAID disk, but all the data is missing, and the server shows that none of your RAID disks are found.What might be the problem with your server? (Select all that apply.)asked Aug 13, 2019 in Computer Science & Information Technology by fili1001A. MotherboardB. CPUC. RAMD. RAID controllerE. Power supply factor the expression Exercise 15-14 Presented below are two independent situations. 1. Flinthills Car Rental leased a car to Jayhawk Company for one year. Terms of the operating lease agreement call for monthly payments of $300. 2. On January 1, 2017, Throm Inc. entered into an agreement to lease 20 computers from Drummond Electronics. The terms of the lease agreement require three annual rental payments of $26,000 (including 11% interest) beginning December 31, 2017. The present value of the three rental payments is $63,536. Throm considers this a capital lease. Prepare the appropriate journal entry to be made by Jayhawk Company for the first lease payment. 1x2x2x2..........50=50! Use the data table provided to calculated the values requested below. Provide all answers to three decimal places. Has at least 1 child Has no children Total Supports bans 1739 3089 4828 Does not support bans 746 1142 1888 Total 2485 4231 6716 1. Conditional proportion of support for the ban among those with at least one child: ________2. Conditional proportion of support for the ban among those with no children: __________3. Difference in proportion of supporters for the ban between those with at least one child and those with no children (at least 1 child - no children): ___________4. Relative risk of supporting the ban for those with at least one child compared to those with no children: _________ Lisa Company uses the periodic inventory system and had 100 units in beginning inventory at a total cost of $10,000. The company purchased 200 units at a total cost of $26,000. At the end of the year, Lisa had 80 units in ending inventory.Required:a) Compute the cost of the ending inventory and the cost of goods sold under FIFO, LIFO, and average-cost. (Round average-cost per unit and final answers to 0 decimal places, e.g. 1,250.) Joel and Danny were playing a game with blue and red balls and a small white ball. The blue and red balls are exactly the same, except they are different colors. Joel rolled a blue ball at a speed of 5 m/s. It hit one of the red balls that was sitting still. What happened to the red ball once it was hit? A. It rolled away at a speed less than 5 m/s. B. It rolled away at speed of 5 m/s. C. It remained sitting still. D. It rolled away at a speed greater than 5 m/s. please help will give brainliest and 80 points Sanbonmatsu focuses on the central role of political parties in recruiting women for office. Which of the following is NOT one of the traditional, previous explanations for the variation of female representation across states?The national mood with respect to gender equality in representationNOT Electoral rules that vary between statesNOT Contextual factors like a state's social structureNOT Differences in the institutional setting between states David is an enthusiastic cyclist. He uses an app on his phone to track each of his cycling sessions. What was the shortest he cycled Which visual aid is best for showing comparative data?Photographvideo clipchartDiagram 2772, 3663, 2970,4275, 5841, 3564 which of the numbers has to be excluded? Recently, Kevin has been spending a lot of time playing online poker. Last weekend, he decided on a whim to fly to Las Vegas to try his hand at "the real thing." He lost over $5,000. This behavior indicates that Kevin may have _________.