In a recent year, the Better Business Bureau settled 75% of complaints they received. (Source: USA Today, March 2, 2009) You have been hired by the Bureau to investigate complaints this year involving computer stores. You plan to select a random sample of complaints to estimate the proportion of complaints the Bureau is able to settle. Assume the population proportion of complaints settled for the computer stores is the 0.75, as mentioned above. Suppose your sample size is 101. What is the probability that the sample proportion will be within 3 percent of the population proportion?

Answers

Answer 1

Answer:

0.5137

Step-by-step explanation:

The margin of error equals the critical value times the standard error.

MoE = CV × SE

In this case, the critical value is the z-score.

For a proportion, the standard error is:

SE = √(pq/n)

SE = √(0.75 × 0.25 / 101)

SE = 0.04309

Therefore:

0.03 = z × 0.04309

z = 0.6963

So the probability is:

P(-0.6963 < Z < 0.6963)

= P(Z < 0.6963) − P(Z < -0.6963)

= 0.7569 − 0.2431

= 0.5137


Related Questions

Value Grocery Mart and Market City are both having a sale on the same popular crackers. McKayla is trying to determine which sale is the better deal. Using the given table and equation, determine which store has the better deal on crackers? Explain your reasoning. (Remember to round your answers to the nearest penny.)

Value Grocery Mart:
Number of Boxes of Crackers
3
6
9
12
Cost (in dollars)
5
10
15
20

Answers

Answer: value grocery store

Step-by-step explanation: Because when you divide all the numbers by each other your gonna get 0.6 .

The same popular crackers are on sale at Value Grocery Mart and Market City for 5.25, 10.5, 15.75, and 21 cents.

What are the differences between chart and tabular forms?A chart is one that displays data using symbols such as bars in a bar chart, columns in a line chart, or slices in a pie chart. A chart can represent tabular numerical data, functions, or specific types of quality structures to convey a variety of information.Using a tabular form and a single page, users can change multiple rows and columns in a table at the same time.A chart displays data in the form of a table, graph, or diagram. It can convey vast amounts of information in a variety of ways.

As the cost per pack is C=1.75b. C is the Cost in dollars.

3 × 1.75 = 5.25

6 × 1.75 = 10.5

9 × 1.75 = 15.75

12 × 1.75 = 21

Here, the table is given below

The complete question is:

Value Grocery Mart and Market City are both having a sale on the same popular crackers. McKayla is trying to determine which sale is the better deal: Using the given table and equation, determine which store has the better deal on crackers? Explain your reasoning. (Remember to round your answers to the nearest penny.) Value Grocery Mart: 12 6 3 20 15 Number of Boxes of Crackers 10 5 Cost (in dollars) Market City: c = 1.75b, where c represents the cost in dollars, and b represents the number of boxes of crackers

To learn more about chart and tabular forms, refer to:

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) How many miles can the SUV travel on
25 gallons of gas?
miles

Answers

Answer: 1,000

Step-by-step explanation: after you find the answer for 20/3 divided by 1/6 equals 40 so you multiply 40 x 25 to get 1,000

The SUV can travel 425 miles on 25 gallons of gas.

What is a proportion?

A proportion is an equation that sets two ratios at the same value.

We can use a proportion to solve this problem. The miles per gallon (mpg) of the SUV can be calculated by dividing the distance traveled by the amount of gas used:

MPG  = distance/gas

So for the first case, we have:

MPG = 340 miles / 20 gallons = 17 miles per gallon

To find out how far the SUV can travel on 25 gallons of gas, we can use the same mpg and solve for the distance:

Distance = mpg x gas

Distance = 17 miles per gallon x 25 gallons

Distance = 425 miles

Therefore, the SUV can travel 425 miles on 25 gallons of gas.

To learn more about the proportion:

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The complete question:

If an SUV travels 340 miles on 20 gallons of gas, how far can it travel on 25 gallons of gas?

simplify 4^3 . 4^6
please and thank youuu

Answers

Answer:

262144

Step-by-step explanation:

Troy is building a ramp for his toy cars. The plank he is using for the ramp us 5ft long and is placed in a 3ft high box how far from the box is the bottom edge of Troy’s ramp in feet?

Answers

Answer:

Step-by-step explanation:

35

The United
States Mint released five state quarters
every year. There are 50 states. How many
years did it take for all 50 state quarters to
be released? Write and solve an equation.

Answers

Answer:

I found a link where this question was asked before with some helpful answers, here you go hope this helps! :)

https://brainly.com/question/1757751

−4x−y=24
whats the points

Answers

-4x-y=24
-4x=y+24
Y=-4x-24
Now that we have the question, we can plug numbers in for x to get y-coords.

-4(0)-24
-24
(0,-24)

-4(1)-24
-4-24
(1,-28)

Which expression has the same sum as the one below?
- 15+6
0.15+6
0-6+(-15)
15+(-6)
6+(-15)

Answers

Answer:

6+(-15)

Step-by-step explanation:

=6+(-15)

=6-15

=-9

6+(-15)

Explanation:
-15+6 = -9

6+(-15)
Remove parentheses
6 - 15

Calculate the difference
6 - 15

Solution
-9
They Both Equal -9

someone help PLS ASAP! in the figure above, l is a line. if y=96, what is the value of x?
a. 28
b. 30
c. 42
d. 84

Answers

Answer:

x=28

So a

Step-by-step explanation:

2x+96+x=180   add like terms (2x+x)

3x+96=180       subtract 96 from both sides (3x+96-96=180-96)

3x=84               divide both sides by 3 (3x/3=84/3)

x=28

10 pol
Mariska draws a red card and then a black card. The sum is positive. The
number on the black card must be greater than the number on the red
card. *
True
False

Answers

False, The sum is positive, no subtraction is being done and no negatives are present.

A positive plus a positive is another positive.

Which of the following is closest to the value of the expression 3 x (square root of 2)?
Select one:
01.4
03.8
04.2
04.4

Answers

Answer:

4.2

Step-by-step explanation:

3 x (sqrt 2)

3 x (1.41421356237)

4.24264068712

4.2

I just had the same question so thxs for the answer

If the total income generated from gasoline for AER was 408 million how much would the cost forna barrel of gasoline

Answers

Answer:

kkkkk

Step-by-step explanation:

kkkkkk kkkkkk kkkWhy were the Punic War so important for the development of the Roman Empire?

Answer:

20

Step-by-step explanation:

If you have 60,000,000 barrels of crude oil and 34% of the barrels are gasoline then you have to set up the problem like this because you have to find out how much 34% of 60,000,000 is first in order to solve the problem.

is/of x 100/%

60,000,000 / a   X    100 / 34

so..60,000,000 x 34 = 2,040,000,000

then divide that amount by 100= 2,040,000,000 / 100 = 20, 400,000

so the 34% actually is the total 20,400,000. Now, you divide the dollar amount 408,000,000 million barrels by the total amount of gasoline which is 20,400,000.

408,000,000 / 20,400,000 = 20

So each barrel of gasoline cost $20.

What is the solution to the equation 1/4x+2=-5/8x-5

Answers

multiply everything by 8

2x+16 = -5x-40

-16 on both sides

2x = -5x-56

+5x on both sides

7x = -56

x=-8

so the first option

Answer:  x = -8

its just is lol

How do you calculate the percentage of a number? ex. 70% of 70

Answers

Answer:

Find P percent of X

Find what percent of X is Y

Find X if P percent of it is Y

Step-by-step explanation:

Example: What is 10% of 150?

Convert the problem to an equation using the percentage formula: P% * X = Y

P is 10%, X is 150, so the equation is 10% * 150 = Y

Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10

Substitute 0.10 for 10% in the equation: 10% * 150 = Y becomes 0.10 * 150 = Y

Do the math: 0.10 * 150 = 15

Y = 15

So 10% of 150 is 15

Double check your answer with the original question: What is 10% of 150? Multiply 0.10 * 150 = 15

2

The solution of which inequality is shown by the number line?
-7 -6
-5
-4
-3
-2

Answers

i believe its x greater than or equal to 5 so the last choice

Find the value of x for which m\\n

Answers

In first situation= =given angle + x=sum of angle of triangle. =110°+x=180°=70° X=70° Similarly, 2. condition can be solved i.e-x=144° There you go! Have a awesome day.

The number 80 is decreased to 73. What is the percentage by which the number was decreased, to the nearest tenth of a percent?

Answers

Answer:

8.75 as 80-73 gives 7 and 7/80x 100= 8.73 by which is the percentage it is decreased.

what is 49400000000000 written in scientific notation

Answers

Answer:

4.94x10^13

Step-by-step explanation:

You have to move the decimal 13 times to the right and the number you get or it to be in scientific notation has to be in between 1 and something less than 10.

You probably don't need this answer anymore, sorry!

What is an equation of the line that passes through the points (-7,-7) and (-7,4) ?​

Answers

(-7,-7) and (-7,4)

First we need to find the slope between these two points

(y2-y1) / (x2-x1) = -11 / 0 =

Therefore there is no slope.

So, the equation that is possible is:

x = -7

The tables represent two linear functions in a system.

What is the solution to this system?
у
0 (43, -25)
0 - 14.-54]
O (-13, -50)
O (-14, -54)

Answers

the last one. d.
hope that helps :)

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From left to right for the tables :

[tex]1) \: \: \: \: y = 4x + 2[/tex]

And

[tex]2) \: \: \: \: y = 3x - 12[/tex]

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To find the solution we need to take equal above equations .

[tex]4x + 2 = 3x - 12[/tex]

Subtract sides 3x

[tex] - 3x + 4x + 2 = - 3x + 3x - 12 \\ [/tex]

[tex]x + 2 = - 12[/tex]

Subtract sides 2

[tex]x + 2 - 2 = - 12 - 2[/tex]

[tex]x = - 14[/tex]

Thus the x-coordinate of the solution must be -14 which is just in the last option.

Thus the correct answer is the last one.

Done...

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4 * 80 * 0 * 0 * 0 * 0 * 0

Answers

Answer:

40800000000000

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

any # times 0 is 0

Four times a number, added to 8, is 32

Answers

Answer: 6

Step 1: Subtract 8.

32 - 8 = 24

Step 2: Divide by 4, since the question is asking for 4 times the number.

24 ÷ 4 = 6

Answer = 6

Nancy is buying a new pair of boots. The store is having a sale and all boots are 20% off. Which expression represents the sale price of the boots where x is the original price of the boots?

Answers

there are two expressions that can work for this: 0.8x and x-0.2x Hope this helps :)

Answer:

b=12.50p

Step-by-step explanation:

Kristen is going to hire a makeup artist

(Look at the photo please will name Brainlyest)

Answers

The show would last 7 hours and it would cost $548

1.98 subtracted by 0.99

Answers

Answer:

0.99

Step-by-step explanation:

1.98 - 0.99 is 0.99.

Easy.

Just do it like you would any other problem.

I will give you branilest!

When you mix two colors of paint in equivalent ratios, the resulting color is always the same. Complete the table as you answer the questions.


cups of blue paint cups of yellow paint
2 10
1 5
3 15

.

4. What is the constant of proportionality in the table? (choose one)
a. 5
b. 8
c. 9
d. 1

Answers

Answer:

I believe it is 5 because when simplified they all simplify to 1/5

how do you simplify decimals??

ex) simplify.
7.21 + 4.2

Answers

Answer:

7.21+4.2

for 4.2 we can write it as 4.20 because 0 has no value after decimal point

then 7.21+4.20

by adding both we get 11.41

hope it helps you mate

please mark me as brainliast

Answer:

11.41

Step-by-step explanation:

7.21

+4.2

= 11.41

Suppose you are working with a data set that is normally distributed, with a mean of 150 and a standard deviation of 48. Determine the value of x from the following information. (Round your answers and z values to 2 decimal places, e.g. 1.25.) (a) 60% of the values are greater than x.

Answers

Answer:

Step-by-step explanation:

Find the z-value with a left tail of 0.40

invNorm (0.40) = -0.2533

----

Find the corresponding x-value using x = z*s + u

x = -0.2533*20 + 400 = 394.93

In an isosceles triangle the length of the legs is 8 cm and the angle between them is 150°. Find the altitude to the legs and the area of the triangle.

Find AH and Aᴬᴮᶜ

Answers

Answer:

AH = 4 units

Area of ΔABC = 16 square units

Step-by-step explanation:

Since ΔABC is an isosceles triangle,

AC = BC

∠CAB ≅ ∠ABC  [Opposite angles of the equal sides in a triangle are equal]

In ΔABC,

m∠CAB + m∠ABC + m∠ACB = 180°

m∠ABC + m∠ABC + 150° = 180°

2m∠ABC = 30°

m∠ABC = 15°

Now we apply cosine rule in ΔABC,

AB² = AC² + BC² - 2(AB)(BC)cos(m∠ACB)

AB² = 8² + 8² - 2(8)(8)cos(150°)

AB² = 128 + 110.85

AB = [tex]\sqrt{238.85}[/tex]

AB = 15.45

In ΔABH,

sin(m∠ABH) = [tex]\frac{AH}{AB}[/tex]

sin(15°) = [tex]\frac{AH}{15.45}[/tex]

AH = 15.45sin(15°)

AH = 3.998

AH ≈ 4.0 units

HC = [tex]\sqrt{8^{2}-4^2}[/tex]

     = [tex]\sqrt{48}[/tex]

     = 6.93

Area of the triangle ABC = [tex]\frac{1}{2}(BC)(AH)[/tex]

                                          = [tex]\frac{1}{2}(8)(4)[/tex]

                                          = 16 square units

On three consecutive​ passes, a football team gains ​yards,9 loses 18 ​yards, and gains 41 yards. What number represents the total net​ yardage?

Answers

Answer:

Gain:

32 yards

Step-by-step explanation:

+ 9 - 18 + 41

= 41 + 9 - 18

= 50 - 18

= 32

whats 6 x 3 + 36 help meeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

54

Step-by-step explanation:

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