A polling company is trying to estimate the percentage of adults that consider themselves happy. A confidence interval based on a sample size of 180 has a larger than desired margin of error. The company wants to conduct another poll and obtain another confidence interval of the same level but reduce the error to one-third the size of the original sample. How many adults should they now interview

Answers

Answer 1

Answer:

They should interview 1620 adults now.

Step-by-step explanation:

Margin of error of a confidence interval:

The margin of error of a confidence interval has the following format:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which z is related to the confidence level, [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

In this question:

z wont change, neither will [tex]\sigma[/tex]

We want to increase n as such the margin of error is reduced to one third.

We have that the margin of error is inversely proportional to the square root of the size of the sample, which means that for the margin of error to be reduced to one third, the sample size has to be multiplied by [tex]3^2 = 9[/tex]. So

180*9 = 1620

They should interview 1620 adults now.


Related Questions

Y= 2/3x + 2. Y= 3/5x + 3. Graph equations

Answers

One square = 1 unit

Answers are on paper.
I put them on separate graph

1. Maya had a dozen white eggs
and a dozen brown eggs in her
refrigerator. She used 6 white
eggs and 8 brown eggs to make
breakfast. How many eggs does
she have left?

Answers

Answer:

6 white & 4 brown

Step-by-step explanation:

12-6=6

12-8=4

In triangle DEF, if the measures of angles D and E are equal, and the measure of
angle F is 26, what are the measure of angles D and E?
Your answer


Answers

Answer:

77 = m∠D  =  m∠E

Step-by-step explanation:

In a triangle the sum of the measures of the angles = 180.  So m∠D  + m∠E + m∠F = 180

Let  m∠D = m∠E = x

Then x + x + 26 = 180

2x + 26 = 180

2x = 154

x = 77 = m∠D  =  m∠E

23
edition
**MINATO
14. What fraction of a day is 5 hours 2 minutes

Answers

Answer:

151/720

Step-by-step explanation:

1 day = 24 hours = 1440 minutes

5 hours 2 minutes = 302 minutes

302/1440 = 151/720

What is the range of the following set of data?
4, 8, 3, 5,5,7,6,4

Answers

Step-by-step explanation:

4 + 8 + 3 + 5 + 5 + 7 + 6 + 4 divided 8

42 divided 8

5,25

cmiiw!

To find range subtract the smallest # by the largest number. So 8 - 3 = 5
5 is the range for this set.

Need help on this please

Answers

95 degrees maybe not sure tho

Plz help me! I’m not sure how to do these!

Answers

Step-by-step explanation:

2. x =101

3. x= 120

4. x= 30

I am very confused in question no 1 and 5 th .

hope this will be helpful to you.

plz mark my answer as brainlist if you find it useful .

The price of an item has risen to $216 today. Yesterday it was $135. Find the percentage Increase.

Answers

The percentage increase is 160%

0.5 g of salt is equal to how many milligrams show your work

Answers

Answer:

Amount of salt = 500 milligrams

Step-by-step explanation:

Given:

Amount of salt = 0.5 g

Find:

Amount of salt in milligrams

Computation:

1 gram = 1,000 milligrams

So,

Amount of salt = 0.5 x 1,000

Amount of salt = 500 milligrams

Gwen takes out a loan of $400 to pay for an online course. Flat rate interest is charged at 8% p.a

If she repays the loan in 3
months, how much interest does she pay in total?

Answers

We know, 1 year = 12 month.

So, 3 month = 3/12 = 0.25 year.

Now, principle amount, P = $400 .

Rate is, r = 8% = 0.08

Time period, t = 0.25 year.

Now, Interest is given by :

I = P × r × t

I = $( 400 × 0.08 × 0.25 )

I = $8

Therefore, she will pay $8 interest in total.

Kevin draws out one M&M without looking.

· What is P(green)?


· What is P(red)?


· What is P(~Yellow)?


· What is P(~Orange)?

Answers

Answer:

1/6

Step-by-step explanation:

M&M comes in 6 colors.

So, P(green), = 1/6

P(red) = 1/6

· P(Yellow) = 1/6

· P(Orange) = 1/6

evaluate the expression 4/5-2/3

Answers

Answer:

2/15

Step-by-step explanation:

Find the LCM which is 15. Multiply 4/5 by 3 to get the numerator 15 and multiply 5 to 2/3 to get the numerator 15.

12/15-10/15=2/15

Hope this helps. Pls give brainliest.

What is the volume of the rectangular prism?​

Answers

Answer:

15 0/0

Step-by-step explanation:

15 cubes on each side which totals to 30 cubes. To get the volume 15 cm multiply 30 x 1/2 = 15 the amount of volume

Answer:

15[tex]cm^{3}[/tex]

Step-by-step explanation:

ok...each of those boxes are 1/2 cm

What is the easiest thing to do is to count the front of the rectangular prism and there are 15 cubes. Now double it, and you get 30 cubes, now since each cube is 1/2 or 0.5, we get can do 0.5 x 30 and we get 15

Hope this helped!

Have a supercalifragilisticexpialidocious day!

A store manager combines trail mix that is 30% raisins with a trail mix that is 55% raisins. He makes 800 lbs of trail mix that is 40% raisins. How many pounds of each trail mix does the manager use?

Answers

Answer:

320 pounds of 55% raisins trail mix

480 pounds of 30% raisins trail mix

Step-by-step explanation:

i did it on RSM and got it right

What is the value of x?

Answers

Answer:

98%

Step-by-step explanation:

Pls help ASAP I’ll brainlest

Answers

Answer:

b) x= -13

Step-by-step explanation:

Answer:

it's answer is= - 13.175

but it is not in option

so B) - 13

is right

A blogger had 400 subscribers to her blog in January. The number of subscribers has grown by a factor of 1.5 every month since then. Write a sequence to represent the number of subscribers in the 3 months that followed.

Answers

Answer:

[tex]600, 900, 1350[/tex]

Step-by-step explanation:

Given

[tex]a = 400[/tex] -- initial subscribers

[tex]b = 1.5[/tex] -- growth factor

Required

Determine the number of subscribers in the next three months

To do this, we make use of:

[tex]y = ab^x[/tex]

In this case:

x is the number of months

y is the number of subscribers

So:

when x = 1;

[tex]y = ab^x[/tex]

[tex]y = 400 * 1.5^1[/tex]

[tex]y = 400 * 1.5[/tex]

[tex]y = 600[/tex]

when x = 2

[tex]y = 400 * 1.5^2[/tex]

[tex]y = 400 * 2.25[/tex]

[tex]y = 900[/tex]

when x= 3

[tex]y = 400 * 1.5^3[/tex]

[tex]y = 400 * 3.375[/tex]

[tex]y = 1350[/tex]

So, the next three number of subscribers is:

[tex]600, 900, 1350[/tex]

How can 38 over 6 be expressed as a decimal?
A. 5.1 with bar over 1
B. 6.1 with bar over 1
C. 6.3 with bar over 3

Answers

Answer:

B

Step-by-step explanation:

C its C hopes this helps

Robert mixed 113 liters of blue paint with 123 liters of red paint to make 3 liters of purple paint. To make a new batch of purple paint he used 2 liters of red paint. Using the same ratio, Robert should use Response area liters of blue paint .

Answers

Answer:

[tex]Blue =1\frac{3}{5}[/tex]

Step-by-step explanation:

Given

[tex]Blue = 1\frac{1}{3}[/tex]

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

Required

Determine the amount of blue paint when Red = 2

To do this, we make use of the following equivalent ratios

[tex]Ratio = Blue : Red[/tex]

When  [tex]Blue = 1\frac{1}{3}[/tex] and  [tex]Red = 1\frac{2}{3}[/tex]

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

When Red = 2

[tex]Ratio = Blue : 2[/tex]

Equate both ratios

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

Convert to division

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

Convert fractions to improper fraction

[tex]\frac{Blue}{2} =\frac{4}{3} / \frac{5}{3}[/tex]

[tex]\frac{Blue}{2} =\frac{4}{3} * \frac{3}{5}[/tex]

[tex]\frac{Blue}{2} =\frac{4}{5}[/tex]

Make Blue the subject

[tex]Blue =\frac{4}{5}*2[/tex]

[tex]Blue =\frac{8}{5}[/tex]

[tex]Blue =1\frac{3}{5}[/tex]

00 DKW wu
6. Jackson made a poster in the shape of a quadrilateral. Each pair of opposite sides of the poster (1 point)
are congruent, and parallel and all angles are congruent. Which of the following names best
describes the shape of Jackson's poster?

O parallelogram
Orhombus
O rectangle
O trapezoid

Answers

Rectangle

Just finished the post test right now.

what is sociallizatioj​

Answers

Answer:

Socialisation is the process through which individuals learn the norms and values of society, leading to social cohesion and a functional society

hope it helps you

please mark me as brainlist

Step-by-step explanation:

mixing up and following social norms and values as a member of the society is called socialization.

Need help on only 27 please need ASAP thanks

Answers

Answer:

8 is not in the solution set

Step-by-step explanation:

Given, -y + 7 < -4

To find out if 8 is in the solution set, substitute y = 8 in the inequality and solve to see if the statement would be true.

Thus:

-8 + 7 < -4

-1 < -4

This -1 is less than -4. This is actually not TRUE. -1 is rather greater than -4.

Therefore, 8 is not in the solution set.

are squares parallelograms

Answers

yes because it has 4 sides

9514 1404 393

Answer:

  yes

Step-by-step explanation:

A parallelogram is a quadrilateral with opposite sides parallel. A square is such a quadrilateral, so a square is a parallelogram.

_____

A rhombus is a special case of parallelogram in which adjacent sides are the same length.

A square is a special case of rhombus in which the angles are 90°. Hence a square is a special case of parallelogram.

__

An alternate route to the same conclusion is ...

A rectangle is a special case of parallelogram in which vertex angles are 90°.

A square is a special case of rectangle in which adjacent sides are the same length. Hence a square is a special case of parallelogram.

Tell whether the ordered pair is a solution to the system of linear equations. 1 point
63 + 3y = 12
(5.-6):
4x + y = 14
Yes
No
Maybe
Next
Page 1 of 3
Forms
Tell whether the ordered pair is a solution to the system of linear equations
Yes
No
Maybe

Answers

Answer:

(5,-6) is a solution

Step-by-step explanation:

Given

[tex]6x + 3y = 12[/tex]

[tex]4x + y = 14[/tex]

Required

Tell whether (5,-6) is a solution

In (5,-6): x = 5 and y = -6.

Substitute these values in the given equations

[tex]6x + 3y = 12[/tex] becomes

[tex]6 * 5 + 3 * -6 = 12[/tex]

[tex]30-18 = 12[/tex]

[tex]12 = 12[/tex]

[tex]4x + y = 14[/tex] becomes

[tex]4 * 5 - 6 = 14[/tex]

[tex]20 - 6 = 14[/tex]

[tex]14 = 14[/tex]

Because both solutions are true, then (5,-6) is a solution

Q6.
Nimes was driving to a hotel.
He looked at his Sat Nav at 13 30
Time
1330
Distance to destination
65 miles
Nimec arrived at the hotel at 14 48
Work out the average speed of the car from 13 30 to 14 48
You must show all your working.

Answers

Answer:

The average speed at which Nimes drove his car was 50 miles per hour.

Step-by-step explanation:

Given that Nimes was driving to the hotel at 1:30 p.m., being 65 miles away from it, and finally arriving at its destination at 2:48 p.m., to determine the average speed at which the circle should be made. following calculation:

14:48 - 13:30 = 1:18

60 = 100

18 = X

(18 x 100) / 60 = X

1,800 / 60 = X

30 = X

65 / 1.30 = X

50 = X

Therefore, the average speed at which Nimes drove his car was 50 miles per hour.

The bigger

the number the more

factor pairs it has.

Use examples to show that Dexter is wrong.

Answers

Answer:

See Explanation

Step-by-step explanation:

Required

Prove that Dexter is wrong

To prove that Dexter is wrong, we use the following numbers.

[tex]Number = 4[/tex]

The factors are:

[tex]Factor = 1,2\ and\ 4[/tex]

3 factors

Using a greater number:

[tex]Number = 5[/tex]

The factors are:

[tex]Factor = 1\ and\ 5[/tex]

2 factors

From the above analysis:

4 has 3 factors and 5 has 2 factors; which shows that 5 has fewer factors

This shows that Dexter is wrong

Which angle is an x–intercept for the function y=cos(1/2x)? A. 0 B. pie/2 C. pie D. 2pie

Answers

Answer:

x intercept is 180

Step-by-step explanation:

Given

[tex]y = cos(\frac{1}{2}x)[/tex]

Required

Determine the x intercept

To do this, we simply set y to 0.

i.e. y = 0

Substitute 0 for y in [tex]y = cos(\frac{1}{2}x)[/tex]

[tex]0 = cos(\frac{1}{2}x)[/tex]

Take [tex]cos^{-1}[/tex] of both sides

[tex]cos^{-1}(0) = cos^{-1}(cos(\frac{1}{2}x))[/tex]

[tex]90 = \frac{1}{2}x[/tex]

Multiply both sides by 2

[tex]2 * 90 = \frac{1}{2}x * 2[/tex]

[tex]2 * 90 = x[/tex]

[tex]180 = x[/tex]

[tex]x = 180[/tex]

Hence, the x intercept is 180

random khan question and I haven't done this in a year, I'm struggling.

Answers

Answer:

Add maybe

Step-by-step explanation:

add the 500+400+200 try that hope it helps have a great day

Many fire stations handle emergency calls for medical assistance as well as those requesting firefighting equipment. A particular station says that the probability that an incoming call is for medical assistance is 0.81. This can be expressed as P(call is for medical assistance)

Answers

Answer: The is down there

Step-by-step explanation: Glad to help but hope it helps you.

how do you solve 0.7n-1.5+7.3n=14.5​

Answers

Answer:

n = 2

Step-by-step explanation:

Answer:

n = 2

Step-by-step explanation:

0.7n-1.5+7.3n=14.5​

Add like terms

(0.7n + 7.3n) + (-1.5) = 14.5

8n -1 .5 = 14.5

Add 1.5 to both sides.

8n =1 6

Divide both sides by 8.

n = 2

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need help you can have 20 points if help me Over the cobbles he clattered and clashed in the dark inn-yard, And he tapped with his whip on the shutters, but all was locked and barred; He whistled a tune to the window, and who should be waiting there But the landlord's black-eyed daughter, Bess the landlord's daughter, Plaiting a dark red love-knot into her long black hair. - Alfred Noyes, "The Highwayman Which statement best explains how the alliteration in this excerpt from Alfred Noyes's poem The Highwayman contributes to its meaning? A. The repetition of the 'w sound in line 3 reinforces the sound of whistling B. The repetition of the sound in line 6 emphasizes the idea of c. The repetition of the bound n ines 4 and 5 points to the morterida a color black, D. The repetition of the goound in ine i mitates the silence of the highway man's movements In FGH, g = 7.6 inches, h = 3.2 inches and F=160. Find the length of f, to the nearest 10th of an inch. Given 2 points find the slope using the slope formula. Show all work.12-YmeXzx, What is one of the ancient Greek inventions? PLS HELP ILL MARK BRAINLIEST!! 9. What are the three names commonly used to refer to the places where electrons can befound?10. Approximately,manmade.elements are found naturally on Earth. The others are11. How does the Periodic Table organize elements? (2 answers)12. The atomic number is13. The atomic mass is14. The Periodic Table is arranged in order ofThe number of protonsIncreases from left to right.15. The vertical rows of the Periodic Table are calledAll of the elements in a vertical row have similar characteristics.I .3x+.65 x 175=.50(x+175)Can you please explain this step by step? Kinda confused about how to figure it out. HELLLPPPPThe Kids have been asked to decide whether India has more wealth than Peru. Mary says they should use the GDP while jann says they should use the GDPP. Who is right?1. Mary2. JannNeither, they should use the exports and imports Write a paragraph on why students shouldn't have school uniforms. help me change into passive voice Find x, y and zhelp i dont know what to do, its the last question A. Solve the following linear inequalities.1. x + 7 55. 4a 23.66. 1.6 b< 87. Z + 4.2 < 2.1 Write a fact about Greek Mathematics(Do not plagiarize, or put applicable answers. Make sure this fact is 2 sentences) |16|-|-5| what is the answer Which point does not belong with the other three?(0,3)(0, 0)(4,3)(4, 0)Question 2Explain your reasoning.The point that does not belong is the only point that is . Ali receives a 4% commission for all his sales. His sales for January were $15,000. What was the commission amount he earned for the month of January? What are some of the WORST things about coal fuel?help me please help me Describe what is being done in each step while solving the equation. Match each step with the correct description. HINT: Start with Original Equation as the first step. 1. Which of the statements is correct?A. Only asteroids collide with Earth.B. Cornets are ball of ice, dust, and metal.C. Meteoroids are streak of light produced when comet enters Earth'satmosphere.D. Only asteroids can be found in the solar system.2. What do you call the fragments or debris that resulted from the collision ofasteroids or comets?A. meteorsB. meteoroidsC. Oort CloudD. Kuiper Belt3. What is the bright glow around the "head" of a comet?A. comaB. crownC. haloD. ring4. What is the name of the famous comet that can be seen from Earth every 75 to76 years?A. Hale BoopB. Comet HalleyC. Comet Tempel 1D. Shoemaker Levy-95. What is the correct term for a shooting star"?A. asteroidB. cometC. falling starD, meteor6. What is an Asteroid Belt?A. It has rocks crossing the Sun, Mars, and Jupiter.B. It has rocks crossing the Sun, Jupiter, and Uranus.C. It is an area between Mars and Jupiter where most asteroids are found.D. It has rocks between the Earth and Jupiter where most asteroids are found. Choose the correct verb for the underlined portion in the following sentence:Dr. Robert Fogel at the University of Chicago and other scientists around the world have/has concluded that a significant change in peoples physical size has taken place. Find the values of m and nCan someone help???