1. An AP Statistics class starts a project to estimate the average number of hours a student at their high school sleeps per night. Their high school has 1200 students, and they take a sample of the first 120 students that arrive at school on a particular day. They ask each of the 120 students how many hours of sleep they got the night before and then calculate an average. Which of the following statements is an accurate description of the elements of this survey?

Answer:

it is a triangular prism .

Answer:

Triangular Prism

6 vertices

Step-by-step explanation:

Answer:

i know its a bit late but the answer below

Step-by-step explanation:

e/f

Step-by-step explanation:

Putting value of x

2 (4)3 - 2(4)2 + 2(4) - 4

2 (64) - 2(16) + 8 - 4

128 - 32 + 8 - 4

= 100

Answer:

i dunno try this sorry if its wrong.  Answer i got is 16.

Step-by-step explanation:

since the x = 4 and we need to calculate the value of other numbers. my answer would be this,  

2 x 2 x 2 = 6,   2 x 2 = 4     add both values up to get 10, then do 10 x 2 which is 20, - 4 since x is 4.

Also i did this the way you would write it in exponent form.

Answer:

The graph shows a distribution of data.

A graph shows the horizontal axis numbered 1 to x. The vertical axis is unnumbered. The graph shows an upward trend from 1 to 2 then a downward trend from 2 to 3.

What is the standard deviation of the data?

0.5 <<<------- CORRECT ANSWER

1.5

2.0

2.5

Step-by-step explanation:

EDGE 2021

The standard deviation of the data is,

σ = 0.5

An expression which is defined as the collection of the numbers,  variables and functions by using sign like addition, subtraction, multiplication, and division is called mathematical expression.

Now,

We have in the graph, there is bell-shaped along x =2.

Here, A bell-shaped graph along one value is called symmetric graph and it represents a normal distribution.

Since, The graph is symmetric around x = 2,

Hence, the mean of the data is 2.

And, The point immediate left to the mean represented by x - σ

Hence, We get;

2 - σ = 1.5

So,

σ = 0.5

Thus, The sigma represents standard deviation.

σ = 0.5

Hence, Option A is correct.

Learn more about the mathematical expression visit:

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Answer:

40 people

Step-by-step explanation:

1/3 + 2/5=11/15

15/15-11/15=4/15

15/15 x 150 x 4/15=40

mean: 11.83

Median=14

Look at the attached picture

Hope it will help you..

good luck on your assignment

~pragya

Hey there! I'm happy to help!

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OVERVIEW

Random sampling is when you take a sample of something completely at random. This is done to avoid bias and other stuff like that. It makes the data a lot more pure, real, and factual.

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CHOOSING THE ANSWER

OPTION A: A SCHOOL NEWSPAPER ASKS TEACHERS IN THAT MIDDLE SCHOOL HOW THEY FEEL ABOUT THE BEHAVIOR OF TWELVE YEAR OLD BOYS.

Does this seem very random to you? They're asking all the teachers who work at a certain junior high to talk about twelve year old boys. But, the teachers are definitely going to have some sort of bias towards twelve year old boys because they work with them, and since all of the samples are teachers, this is going to have biased data. Therefore, answer A is incorrect.

OPTION B: A NATIONAL SURVEY COMPANY PICKS ONE PHONE NUMBER FROM EACH AREA CODE IN AMERICA TO CALL AND ASK FOR AN OPINION ON CURRENT POLITICAL ISSUES.

This definitely seems a lot more random. There is only one phone number from each area code and there are many area codes in the United States so you get a bit of what everyone thinks about an issue. There is no bias because there is one random phone number and there are many different places this is done. Therefore, option B is correct.

OPTION C: MIGRANT WORKERS ARE SURVEYED ON THEIR OPINION OF MANDATORY HEALTH INSURANCE FOR COMPANIES.

This is not very random because they are asking a specific group of workers about a company and business ordeal. It is not very random because the migrant workers are specifically being asked, not random people. Therefore, option C is incorrect.

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THE SOLUTION

Therefore, Option B is the correct answer.

I hope that this helps! Have a wonderful day!

Answer: The answer is 17 pieces is the answer..

I hope you are able to understand....

IF yes, then plz mark as brainliest...

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

(195 - 85)/2 = 54x+1 -->

110/2 = 54x + 1 -->

55 = 54x + 1 -->

54 = 54x -->

1 = x

Answer:

B

15.01

6 percent of 14.16 is 0.85. Add 0.85 to 14.16 and you get 15.01

Answer:

The second one I believe!

Answer:

A

Step-by-step explanation:

x² - 6x - 33 = 0

x² => a²

-6x => -2ab

Therefore, b=3

9 - .....  = -33

...... = 42

x² - 6x + 9 - 42 = 0

(x -3)² - 42 = 0

(x-3)² = 42

First option is answer

Hope this helps ^-^

Answer: D g(x)=(x+4)^2+6

Step-by-step explanation:

The correct equation of the translated function, g(x) is,

⇒ g(x) = (x + 4)² 6

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that:

The function is,

,⇒ f (x) = x²

Here, f(x) has vertex point is (0,0)

and g(x) vertex point is (-4,6)

Hence, The general form of equation with vertex is

⇒ y = a (x - h)² + k

where (h, k) are the vertex.

So, the equation of g(x) form is

⇒ g(x) = (x + 4)² + 6

Therefore, Option D is correct.

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So ,

here's your answer:

Mean =5.8

median=6

Mode=7

Range=7

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:$3684 should be invested in stock L

Step-by-step explanation:

Let x represent the amount that you should invest in stock K.

Let y represent the amount that you should invest in stock L.

You have $10,000 to invest in these two stocks. It means that

x + y = 10000

Stock K is expected to return 12.4 percent while the return on Stock L is expected to be 8.6 percent. It means that the returns from stock K would be 12.4/100 × x = 0.124x

And the returns from stock L would be 8.6/100 × y = 0.086y

if you desire a combined return from the two stocks of 11 percent, it means that the combined returns would be

11/100 × (x + y) = 0.11(x + y)

The equation would be

0.124x + 0.086y = 0.11(x + y)- - - - - - - -1

Substituting x = 10000 - y into equation 1, it becomes

0.124(10000 - y) + 0.086y = 0.11(10000 - y + y)

1240 - 0.124y + 0.086y = 1100

- 0.124y + 0.086y = 1100 - 1240

- 0.038y = - 140

y = - 140/- 0.038

y = 3684

Hey there! I'm happy to help!

If Mary's friend at 3/4 of blackberries, we will simply multiply the total number of blackberries by 3/4 to find how many blackberries Mary ate.

3/4×1 3/4= 1 5/16

Therefore, Mary's friend at 1 5/16 pounds of blackberries.

I hope that this helps! Have a wonderful day!

Answer:

85

Step-by-step explanation:

because they add 3 on ever number

Answer:

85

Step-by-step explanation:

first they added 3, then they added 6, then they added 9, and so on

Answer:

The probability that the sample proportion will be within 6 percent of the population proportion is 0.9556.

Step-by-step explanation:

The question is:

What is the probability that the sample proportion will be within 6 percent of the population proportion?

Solution:

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 information provided is:

n = 209

p = 0.75

As n = 209 > 30, the central limit theorem can be used to approximate the sampling distribution of sample proportion by the Normal distribution.

[tex]\hat p\sim N(\mu_{\hat p}=0.75,\ \sigma_{\hat p}=0.0299)[/tex]

Compute the probability that the sample proportion will be within 6 percent of the population proportion as follows:

[tex]P(p-0.06<\hat p<p+0.06)=P(0.69<\hat p<0.81)[/tex]

                                         [tex]=P(\frac{0.69-0.75}{0.0299}<\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}<\frac{0.81-0.75}{0.0299})\\\\=P(-2.01<Z<2.01)\\\\=P(Z<2.01)-P(Z<-2.01)\\\\=0.97778-0.02222\\\\=0.95556\\\\\approx 0.9556[/tex]

Thus, the probability that the sample proportion will be within 6 percent of the population proportion is 0.9556.

Answer:

[tex] 60^2 = (2x^2) +x^2[/tex]

[tex] 3600 = 5x^2[/tex]

[tex] x = \sqrt{\frac{3600}{5}}= 12\sqrt{5}[/tex]

And we can find the perimeter as:

[tex] P= 2(2x) + 2x[/tex]

And replacing the value given for x we got:

[tex] P =2 (2* 12\sqrt{5}) + 2* (12\sqrt{5}) = 48 \sqrt{5} +24\sqrt{5} = 72 \sqrt{5} cm[/tex]

And for this case the perimeter would be approximately [tex]72 \sqrt{5} cm[/tex]

Step-by-step explanation:

For this case we can assume that the lenght is 2x the width x and the diagonal is 60 cm.

From the picture given we have a right tirngle and we can set the following equation:

[tex] 60^2 = (2x^2) +x^2[/tex]

[tex] 3600 = 5x^2[/tex]

And solving for x we got:

[tex] x = \sqrt{\frac{3600}{5}}= 12\sqrt{5}[/tex]

And we can find the perimeter as:

[tex] P= 2(2x) + 2x[/tex]

And replacing the value given for x we got:

[tex] P =2 (2* 12\sqrt{5}) + 2* (12\sqrt{5}) = 48 \sqrt{5} +24\sqrt{5} = 72 \sqrt{5} cm[/tex]

And for this case the perimeter would be approximately [tex]72 \sqrt{5} cm[/tex]

Answer:

12/7

Step-by-step explanation:

When given two points, we can find the slope by using

m = (y2-y1)/(x2-x1)

   = (4 - -8)/ (0 - -7)

    = (4+8) / (0+7)

   = 12/7

Answer:

The answer is 12/7

Step-by-step explanation:

I got this answer from Khan Academy.

Hope this helps! :)

Answer:

a.

x $         0 $         50         $ 100

p (x)    25/36      5/36        6/36

b. 23.61%

c. 23.61%

Step-by-step explanation:

We have that "x" is the amount of money earned:

we have to fail twice, the probability of failure is 5/6 and the probability of hitting is 1/6, therefore if you lose the probability would be:

5/6 * 5/6 = 25/36

the one to win 50 $, would be:

1/6 * 5/6 = 5/36

and the one to win $ 100 would be:

1/6 * = 6/36

that is to say:

a.

x $         0 $         50         $ 100

p (x)    25/36      5/36        6/36

b. the expected amount you'll win would be:

0 * 25/36 + 50 * 5/36 + 100 * 6/36 = 23.61

c. The normal thing is to pay at least the expected amount, that is, $ 23.61, since something greater than that would already be profit.

The expected value is the sum of the product of values and their respective probabilities. Hence ;

To win $100 :

To win $50 :

To win nothing :

The probability distribution table :

The expected value :

E(X) = (0 × 25/36) + (50 × 5/36) + (100 × 1/36)

E(X) = 0 + 9.7222

E(X) = 9.722

Therefore, the expected amount to be won is $9.722

Willing amount to be paid to play the game :

Any value below the expected value,

Therefore, the willing amount will be < 9.722

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Answer:

3,2

Step-by-step explanation:

Given Information:

Mean clear height = μ = 22 feet

Standard deviation of clear height = σ = 4 feet

Required Information:

a) P(X > 16) = ?

b) P(X < 14) = ?

c) P(25 < X < 30) = ?

Answer:

a) P(X > 16) = 93.12%

b) P(X < 14) = 2.27%

c) P(25 < X < 30) = 20.39%

Step-by-step explanation:

What is Normal Distribution?

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.  

a) We want to find out the probability that the clear height is greater than 16 feet.

[tex]P(X > 16) = 1 - P(X < 16)\\\\P(X > 16) = 1 - P(Z < \frac{x - \mu}{\sigma} )\\\\P(X > 16) = 1 - P(Z < \frac{16 - 22}{4} )\\\\P(X > 16) = 1 - P(Z < \frac{-6}{4} )\\\\P(X > 16) = 1 - P(Z < -1.5)\\\\[/tex]

The z-score corresponding to -1.5 is 0.0668

[tex]P(X > 16) = 1 - 0.0668\\\\P(X > 16) = 0.9312\\\\P(X > 16) = 93.12 \%[/tex]

Therefore, the probability that the clear height is greater than 16 feet is 93.12%

b) We want to find out the probability that the clear height is less than 14 feet

[tex]P(X < 14) = P(Z < \frac{x - \mu}{\sigma} )\\\\P(X < 14) = P(Z < \frac{14 - 22}{4} )\\\\P(X < 14) = P(Z < \frac{-8}{4} )\\\\P(X < 14) = P(Z < -2)\\\\[/tex]

The z-score corresponding to -2 is 0.02275

[tex]P(X < 14) = 0.02275\\\\P(X < 14) = 2.27 \%[/tex]

Therefore, the probability that the clear height is less than 14 feet is 2.27%

c) We want to find out the probability that the clear height is between 25 and 30 feet.  

[tex]P(25 < X < 30) = P( \frac{x - \mu}{\sigma} < Z < \frac{x - \mu}{\sigma} )\\\\P(25 < X < 30) = P( \frac{25 - 22}{4} < Z < \frac{30 - 22}{4} )\\\\P(25 < X < 30) = P( \frac{3}{4} < Z < \frac{8}{4} )\\\\P(25 < X < 30) = P( 0.75 < Z < 2 )\\\\[/tex]

The z-score corresponding to 0.75 is 0.7734 and 2 is 0.9773

[tex]P(25 < X < 30) = P( Z < 2 ) - P( Z < 0.75 ) \\\\P(25 < X < 30) = 0.9773 - 0.7734 \\\\P(25 < X < 30) = 0.2039\\\\P(25 < X < 30) = 20.39 \%[/tex]

Therefore, the probability that a child spends more than 4 hours and less than 8 hours per day unsupervised is 20.39%

How to use z-table?

Step 1:

In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 1.5, 2.2, 0.5 etc.)

Step 2:

Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 1.50 then go for 0.00 column)

Step 3:

Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.

Answer:

1 1/2 or 1 4/8 gallons

Step-by-step explanation:

If 3/8 gallons of paint covers 1/4 of a wall, then the math is explained below:

3/8 times 4/1 equals 12/8 to 1 4/8 to 1 1/2. We multiply by 4 since 3/8 covers 1/4 of the wall.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Step-by-step explanation:

This is a geometric sequence where the first term is 64 and the common ratio is -¾.

a = 64 (-¾)ⁿ⁻¹

Answer:

Total profit = $106

Profit made from hats = $34

Therefore to find the number of t-shirts sold

Total profit - Profit from hats = Profit from shirts

$106 - $34 = $72

And the made $4 from selling one shirt so to find the number of t-shirts sold,

*Profit of t-shirts - Profit made from one t-shirt = number of t-shirts

therefore, $72/$4= 18.

Therefore, Goran sold 18 t-shirts.

Answer:

A.  True

Step-by-step explanation:

Answer:

Step-by-step explanation:

Well, he completed 12 questions, so he has 18 left.

To get the solution, we are looking for, we need to point out what we know:  

We assume, that the number 30 is 100% - because it's the output value of the task.  

We assume, that x is the value we are looking for.  

If 30 is 100%, so we can write it down as 30=100%.  

We know, that x is 40% of the output value, so we can write it down as x=40%.  

Now we have two equations:

1) 30=100%

2) x=40%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

30/x=100%/40%

Now we just have to solve the equation.

30/x=100/40

(30/x)*x=(100/40)*x       - we multiply both sides of the equation by x

30=2.5*x       - we divide both sides of the equation by (2.5) to get x

30/2.5=x  

12=x  

x=12

now we have:  

40% of 30=12

Then, you need to subtract 12 from 30 to figure out what is left.

Answer:

Each of the 3 digits can be from 0 to 9, so each of the digits can have 10 values.

10 * 10 * 10 = 1,000

However, if repetition is NOT allowed, then the first digit can be ANY digit (10 possibilities).  The second digit can be ANY digit except what the first digit is (9 possibilities).  The third digit can be ANY digit except what the first digit is or what the second digit is (8 possibilities).

Total area codes = 10 * 9 * 8 = 720

Answer is b

Step-by-step explanation: