The school board claims that 85% of the over 1,600 families with children in their district send their
children to public school. Skeptical of this claim, a private school administrator takes a simple random
sample of 120 families with children in the district and asks them whether they send their children to
public school.
Assuming the school board's claim is correct, what is the probability that the administrator's results are
within 5 percentage points of the school board's 85% claim?

Answers

Answer 1

Answer:

P(0.8<  p ^ <0.9)≈0.87

Step-by-step explanation:

trust me

Answer 2

The probability that the administrator's results are within 5 percentage points of the school board's 85% claim is approximately 0.919.

What is probability?

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

To find the probability that the administrator's results are within 5 percentage points of the school board's 85% claim, we need to find the probability that the sample proportion of families sending their children to public school is between 80% and 90%.

We can use the normal approximation to the binomial distribution to calculate this probability. Since the sample size is large (n = 120) and the population proportion is not too close to 0 or 1 (p = 0.85), we can use the normal approximation.

The mean of the sampling distribution is the population proportion, which is 0.85 in this case. The standard deviation of the sampling distribution is given by the formula:

SD = √((p × (1 - p)) / n)

Plugging in the values, we get:

SD = √((0.85 (1 - 0.85)) / 120)

= √(0.01225 / 120)

= √(0.0001010417)

= 0.0101

Now we can use the normal distribution calculator to find the probability that the sample proportion is between 0.80 and 0.90. Plugging in the mean (0.85) and standard deviation (0.0101) and the upper and lower limits (0.80 and 0.90), we get a probability of 0.919.

Therefore, the required probability is approximately 0.919.

Learn more about probability here:

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Related Questions

What is the measure of angle U?
A. 35°
B. 45°
C. 100°
D. 180°

Answers

Answer:

c

Step-by-step explanation:

e has the same exact angle

Answer:

c

Step-by-step explanation:

same as her/him heheheh I I really

look at the photo to answer
17 POINTS!!!

Answers

I think the answer is D I don’t know if I’m wrong.

The prism shown has a volume of 35 cm.
Work out h, the height of the triangular cross section.
h
7 cm
4 cm

Answers

Answer:

the height is 2.5 cm

Step-by-step explanation:

The computation of the height of the triangular section is shown below:

As we know that

Volume = One-half × base × height

35 = One-half × 4 × height × 7

So, the height is 2.5 cm

Answer:

Height = 2.5cm

Step-by-step explanation:

Volume = Base(b) x Height(h) x Length(l) / 2

Substitute the information that you have into the equation

Volume = 4 x Height(h) x 7 / 2

Height = 4x7 / 2

= 14cm

35 / 14

= 2.5cm

ASAP PLEASE HELP ME !!!!

Answers

Answer:

90 mallards

Step-by-step explanation:

No. of ducks = 200

Mallards = 45%

45% of 200 = 45/100 × 200

=90

Answer is 90 mallards

45% mallards. X
100% all ducks 200
X=45•200/100
X=90

How many square units is the surface area of the box corresponding to the net?​

Answers

Answer:

64

Step-by-step explanation:

We have two squares of 4x4 units and 4 rectangles of 4x2 units, therefore

[tex]2 \cdot (4 \cdot 4)= 2 \cdot 16 = 32 \text{ squre units}[/tex]

[tex]4 \cdot (4 \cdot 2)= 4 \cdot 8 = 32 \text{ squre units}[/tex]

Total Area is therefore 32 + 32 = 64 square units

Subtract – 2.2 + 3x – 9 from 8x2 + 10x – 10.


Answers

Answer:

=3x−11

2(4x2+5x−5)

Step-by-step explanation:

both subtracted: −8x2−7x−1

A triangle has angle measures of 95° and 65° What is the measure of the third angle

Answers

The third angle is 20°. This is because you add the two angles you have already (95+65) and then you subtract that from 180. In simplier words: If you know 2 angles then you can subtract their sum from 180° to find the measure of the 3rd angle.

Two similar rectangles are shown. Which statement is true? A) The area of rectangle B is 1 3 the area of rectangle A. B) The area of rectangle B is 1 9 the area of rectangle A. C) The area of rectangle B is nine times the area of rectangle A. Eliminate D) The area of rectangle B is three times the area of rectangle A

Answers

Answer:

I think it is 19 I not really sure

Step-by-step explanation:

o work it out of my paper and I got 19

Answer: The answer to this math question about finding the statement is very true about 2 similar rectangles are being shown here below is B). B) The area of rectangle B is [tex]\frac{1}{9}[/tex] of the area of rectangle A.

Step-by-step explanation: I'm very sorry about that, but I don't have any step-by-step explanation to this math question about finding the statement is very true about 2 similar rectangles are shown here below, so anyways, I hope that my full short given answer without my given step-by-step explanation to your own math question about finding the statement is very true about 2 similar rectangles are being shown here below, please mark me as Brainliest, take care, always be safe, and have a great rest of the day and good night! :D

Sincerely,

Jason Ta,

The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.

Thirteen of the Unites States do not touch the ocean. What percent of the United States do not touch the ocean? HELP!

Answers

26 percent because 13/50 is 26

You can text at a speed of 50 words per minute. At this rate, how many words can you text in four minutes?

Answers

Answer:

200 words

Step-by-step explanation:

50*4 = 200 words

Answer:

50 × 4 = 200

Step-by-step explanation:

so basically if you can text at a speed of 50 words a minute then all you have to do is multiple that by 4

Need this done in 5 minutes

Answers

Step-by-step explanation:

40, 58, 58, 72, 74, 74, 76, 81,  83, 84, 92

1      2    3   4        5     6      5     4   3    2   1

1) A. 74

2) B. 40

3) A. 92

4) A. 58

Brainlist pls!

Please solve this and give answer

Answers

Answer:

Step-by-step explanation:

What is the volume of this rectangular prism?
3
cn
om
5
cm
4

Answers

Answer:

1

Step-by-step explanation:

[tex]v = whl[/tex]

1 = 5/4 x 4/3 x 3/5

2y-4x=-18 slope intercept form

Answers

Answer:

y=−2x−9

Step-by-step explanation:

Hello,

Solving Process:
1. Isolate y
2. Make coefficient of y equal 1

Steps:
1. (2y - 4x) / 2 = 18 / 2
2. y - 4x = 9
3. y = 4x + 9 <<<<

Good luck to you!

Can u guys help me please

1. What % of 240 is 60?

2. .90 is what percent of 120?

3. 24 is 96% of what number?​

Answers

1.) 25%
2.) 75%
3.) 25

Find the mean, median, and mode(s) of the data:

34, 57, 58, 56, 21

Please hurry !!!!!!!

Answers

I’ll said the median is 55

The volume of a cylinder is 471 cm? If the
height is 6 cm, calculate the radius.

Someone plz help

Answers

Answer:

Step-by-step explanation:

Formula for volume of a circle: V=πr²

If you multiply the circle by height, it becomes a cylinder.

Formula for volume of a cylinder: V=πr²h

Plug in the numbers and get r by itself:

471 = πr²(6)

Divide both sides by 6:

78.5 = πr²

Divide both sides by π:

25 = r²

Square root both sides:

[tex]\sqrt{25}[/tex] = [tex]\sqrt{r} \\[/tex]²

5 = r

Radius is 5 cm

If we work out the question ,
£118.80 divided by 22
on a calculator it comes out as 5.4

How could we write this answer as an amount of money?

Answers

Answer:

£5.40

Step-by-step explanation:

just add a zero for it to be pence

Melanie's fruit punch recipe calls for 6 cups of apple juice for every 3 cups of carrot juice.
How many cups of carrot juice are used for each cup of apple juice?

Answers

Answer:

1/2 cup of carrot juice for each cup of apple juice.

Step-by-step explanation:

The ratio of carrot juice to apple juice is 3:6

Also written as 1:2

1/2 cup of carrot juice per 1 cup of apple juice

Please help me pls plsss

Answers

Answer:

c is correct

Step-by-step explanation:

If you look at it, 2x is the slope. Always remember the formula y = mx + b

The mx is your slope. And the whole number is your b or y - intercept

Hope this Helps!! :)

Annie has a collection of large and small books. The mass of a large book is 3/4 kilogram. The mass of a small book is 1/4 kilogram. The total
mass of her collection of books is 11 kilograms.
How many large books does Annie have if she has 8 small books? Enter the answer in the box.
large books

Answers

Answer:

12 large books

Step-by-step explanation:

PLEASSSSSSSSEEEEEEEEEEEEEEEE JUST ANSWER MY QUESTION STOP SKIPPING ME SHOW WORK PDF BELOW FIND SURFACE AREA PLEASE 50 POINTS

Answers

Answer:

9) 21

10) 24

11) 14.6

Step-by-step explanation:

Literally just add up all the sides.

Write an equation of the line that passes through the given points.
(-6,8) and (1,0)

Answers

Answer:

y=-8/7x+8/7

Step-by-step explanation:

Write an equation that represents the line.
Use exact numbers.

Answers

Answer:

1x-2y

Step-by-step explanation:

You have to go down 2 on the y-axis and over to the right 1 on the x axis

calculate the perimeter of a rectangle with length 4+5y-3x and width 2x - 8y​

Answers

Answer: p = - 6y - 2x + 8

Step-by-step explanation:

p = 2l + 2w

p = 2(4+5y-3x) + 2(2x - 8y​)

p = 8 + 10y - 6x + 4x- 16y

p = - 6y - 2x + 8

Answer:

P=-2x-6y+8 i believe

Step-by-step explanation:

P= 2(4+5y-3x) + 2(2x-8y)

P= 8+10y-6x +4x-16y

=8+10y+−6x+4x+−16y

=(−6x+4x)+(10y+−16y)+(8)

=−2x−6y+8

The sample for a study exhibits undercoverage bias. Select the statement that best describes the bias in the study. O There are not enough subjects in the sample.
O Many of the subjects in the study did not answer every question on the survey.
O The subjects in the study are not representative of the population, because some members of the population were not able to participate in the study.
O The subjects in the study are not representative of the population, because some members of the population refused to take part in the study.​

Answers

Answer:

The subjects in the study are not representative of the population, because some members of the population were not able to participate in the study.

Step-by-step explanation: i got it right on the test

A sample is said to exhibit undercoverage bias, if some of the portion or category of the population are not adequately represented or exempted from the selected sample. Hence, undercoverage bias exists because, The subjects in the study are not representative of the population, because some members of the population were not able to participate in the study.

Undercoverage bias produces non - representative samples as some category of the population may have been exempeted from the study. Hence, option C is correct.

Undercoverage translates that the opinion of some members of the population were not even considered. Hence, the introduction of undercoverage bias.

Learn more : https://brainly.com/question/21774717

Ok can someone please help me? i really need help and no one will help me, its easy middle school math

Answers

Answer:

Step-by-step explanation:

7) A

8) D

9) B

10) A

How do u find the answer

Answers

Answer:

ok we dont know what for net time if you where going to post a picture with is press the paperclip button and choose what photo you want.

Step-by-step explanation:

Please mark as brainllest really need this one.  have a nice week

[o]-[o]

\___/

What is the sum of the interior angles of this pentagon?
O 900°
O 360°
O 540
O 180°

Answers

Answer:

Step-by-step explanation:

360 + 3*180 = -360 + 540 = 180

For four sides -360 + 180*4 = 360

n-2)*180

For a fifteen sided share the sum of angles = (15-2)*180 = 13*180

Answer:

180

Step-by-step explanation:

find surface area of this cone ​

Answers

Answer:

SA = 200π cm²

Step-by-step explanation:

The surface area is calculated as

SA = area of base + area of curved surface

     = πr² + πrs ( r is the radius and s the slant height )

Using Pythagoras' identity in the right triangle to find s

s² = 15² + 8² = 225 + 64 = 289 ( take square root of both sides )

s = [tex]\sqrt{289}[/tex] = 17

SA = π × 8² + π × 8 × 17

      = 64π + 136π

      = 200π cm²

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