You want to obtain a sample to estimate a population proportion. at this point in time, you have no reasonable estimate for the population proportion. you would like to be 95% confident that you esimate is within 1% of the true population proportion. how large of sample size is required?

Answers

Answer 1

The sample size is, 9604 if you want to obtain a sample to estimate a population proportion at this point in time, you have no reasonable estimate for the population proportion.

What is the margin of error(MOE)?

It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.

As we know, the sample size can be evaluated using the expression:

[tex]\rm ME = Z_c\sqrt{\dfrac{pq}{n}}[/tex]

or

[tex]\rm n = \dfrac{Z^2}{ME^2}(pq)[/tex]

Here ME = 1% = 0.01

p = 0.5, q = 0.5

Z at α 0.05   (because 95% confident)

= 1.960  

[tex]\rm n = \dfrac{1.960^2}{0.01^2}(0.5\times0.5)[/tex]

n = 9604

Thus, the sample size is, 9604 if you want to obtain a sample to estimate a population proportion at this point in time, you have no reasonable estimate for the population proportion.

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Related Questions

The scatter plot shows the profit by the month for a new company during its first year of operation. Which equation most closely models the line of best fit for the scatter plot? A) y = 5x B) y = 2.5x C) y = 5x + 1000 D) y = 2.5x + 1000

Answers

The equation most closely models the line of best fit for the scatter plot is y = 2.5x

Equation of a line

A line is the distance between two points. The equation of a line in point-slope form is given as y =mx + b

where:

m is the slope or rate of change

b is the intercept

Using the coordinate points on the line (3, 5000) and (9, 20000)

Get the rate change(slope)

Slope = 20000-5000/9-3

Slope = 15000/6 = 2500

Determine the y-intercept by substituting

5000 = 2500(3) + b

b = 5000 - 7500

b = -2500

Determine the equation

y = 2.5x - 2.5

Hence the equation most closely models the line of best fit for the scatter plot is y = 2.5x

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Raymond swam 236 meters in 6 minutes. At this rate, how many meters can he swim in 15 minutes? A. 94.4 OB. 767 OC. 590​

Answers

given:

263 meters in 6 mins

to find:

how many meters can he swim in 15 minutes.

solution:

[tex] \frac{236}{6} [/tex]

[tex] = 39.33[/tex]

[tex]39 .33\times 15[/tex]

[tex] = 589.95[/tex]

[tex]nearest \: whole \: number = 590[/tex]

therefore, he can swim 590 meters in 15 minutes.

answer= option C

Answer:

C: 590 meters

Step-by-step explanation:

Let's start by finding Raymond's rate of swimming for meters per minute. We know that he can swim 236 meters in 6 minutes. So let's divide 236 by 6 to find how far Raymond can swim in 1 minute.

236 / 6 = 39.3

So if we know Raymond can swim 39.3 meters in 1 minute, we multiply 39.3 meters by 15, to find how far he can swim in 15 minutes.

39.3 * 15 = 589.995 which is approximately 590 meters. So, we would chose option C: 590.

I WILL MARK BRAINLIEST

Answers

Answer:

D

Step-by-step explanation:

A boxed area represents 25% of the data set. This means that 70-85 is 25% and 85-100 is 25%

25%+25%=50%

What is the slope of the line shown below?

Answers

Answer:

7/3

Step-by-step explanation:

-5-9/0-6

-13/-6= 2.167777

y2-y1/x2-x1

Answer:

C

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 5) and (x₂, y₂ ) = (6, 9) ← 2 points on the line

m = [tex]\frac{9-(-5)}{6-0}[/tex] = [tex]\frac{9+5}{6}[/tex] = [tex]\frac{14}{6}[/tex] = [tex]\frac{7}{3}[/tex]

Does anyone know this one I would love help

Answers

Answer:

c

Step-by-step explanation:

the graph shows a constant speed an no change in distance

help meee pleaseee ~ :)) <3

Answers

Volume of the rectangular pyramid:

[tex]v = \frac{lwh}{3} [/tex]

[tex]v = \frac{9 \times 8 \times 9}{3} [/tex]

[tex]v = 216 \: {cm}^{3} [/tex]

Volume of the rectangular prism:

[tex]v = lwh[/tex]

[tex]v = 8 \times 7 \times 9[/tex]

[tex]v = 504 \: {cm}^{3} [/tex]

Total volume:

[tex]v = 216 + 504[/tex]

[tex]v = 720 \: {cm}^{3} [/tex]

volume of the rectangular pyramid is 216 cm^3.

volume of the rectangular prism is 504 cm^3.

Total volume is 720 cm^3.

7. If the perimeter of the rectangle is 6x + 18, then what is the length of the rectangle? (level 4)
x + 5
length

Answers

Answer:

[tex]l = 2x + 4[/tex]

Step-by-step explanation:

[tex]p = 6x + 18 \\ w = x + 5 \\ p = 2(l + w) \\ 6x + 18 = 2(l + x + 5) \\ 6x + 18 = 2l + 2x + 10 \\ 2l = 4x + 8 \\ l = 2x + 4[/tex]

PLEASE HELP

Eleanor and Max used two rectangular pieces of plywood, placed end-to-end, to make a long rectangular stage for the school play. One board was 4 feet long, and the other was 4 1/2 feet long. The two pieces of plywood had equal widths. The total area of the stage was 44 5/8 square feet. What was the width of the plywood?

Answers

5 1/4 feet you divide 44 5/8 by the combined length, 8 1/2, and get 5 1/4.
Answer: 5¼


Step-by-step explanation:
Length = 4 + 4.5 = 8.5 ft
Area = 44⅝
Width = Area/ Length
44⅝ ÷8.5
357/68 × 1/8.5 = 5¼



A rectangular prism has a length of 19 meters, a height of 13 meters, and a width of 14 meters. What is its volume, in cubic meters?

Answers

Answer:

V=whl=14·13·19=3458m³

Answer:

1152.66 m³

Step-by-step explanation:

Volume = ⅓ × base area × height

= ⅓ × (length × width) × height

= ⅓ × 19 × 14 × 13

= ⅓ × 3458

= 1152.66 m³

HELP ME WITH THIS WORK PLEASEEE

Answers

Answer:

a is the answer

Step-by-step explanation:

Segment PR is PQ-RE=24-14=10

The probability that a point will be in PR is 10/24 or 0.4166 which rounds up to 0.42

Brain Builders
9. Each bag can hold a mass of 3 kilograms, Wade
has 25 kllograms of fruit to put into bags. What is
the fewest number of bags he will need? Draw a
picture to support your answer.

Answers

The answer is 9 bags; see students’-drawings.

Answer:

i think its 8

Step-by-step explanation:

25 divided by 3 is eight.

Emma is great at the standing long jump. Her best jump is 10 feet 8 inches. How many inches is this?

Answers

Answer:

128 in.

Step-by-step explanation:

1 ft = 12 in

10 x 12 = 120

120 + 8 = 128

128 in.

Angles J X M, M X N, and N X P form a straight line. Angle M X N is a right angle.
Complete the sentence:

Complete the sentence:
If Angle J X M has a value of 57 degrees, then Angle N X P has a value of
degrees.

Answers

Answer:

123 degrees

Step-by-step explanation:

180 - 57 = 123

Answer:

33

Step-by-step explanation:

123 is not the answer, on edge

Mallory wants to buy a new window air conditioning unit. The cost for the unit is $329.99. If she plans to run the unit three months out of the year for an annual operating cost of $108.78, which function models the cost per year over the lifetime of the unit, C(n), in terms of the number of years, n, that she owns the air conditioner?

Answers

The function (329.99 + 108.78n)/n will represent the cost per year over the lifetime of the unit in terms of the number of years.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

Cost for the unit = $329.99

Annual operating cost = $108.78

C(n) represents the cost per year

n represents the number of years

The function can be modelled:

C(n) = (329.99 + 108.78n)/n

Thus, the function (329.99 + 108.78n)/n will represent the cost per year over the lifetime of the unit in terms of the number of years.

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Find the sum.
796
583
+ 889

Answers

Answer:

2258

Step-by-step explanation:

The sum is 2286
796+583+889=2286


8.
Find the probability that two of the customers get the silver cars and one gets a white ca

Answers

Answer: 2:1

Step-by-step explanation:

the probability that they get they get the silver cars and someone else gets the white is 2:1

Suppose that S'T'U is the result of a dilation STU with center T and scale factor 2. What are the coordinates of point S'?

Answers

Given that STU is dilated by a scale factor of 2, the resulting rule is (x, y) ⇒ (2x, 2y)

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Dilation is the increase or decrease in the size of a figure by a scale factor.

Given that STU is dilated by a scale factor of 2, the resulting rule is (x, y) ⇒ (2x, 2y)

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Solve 2 log x = log 36. x = 1.6 x = 6 x = 18 x = 72

Answers

Answer:

Answer is B. X=6, Positive and negitive terms cancel out

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

I took the test

if 5(3x-1)=55 what is the value of 2x-2

Answers

Answer: 6

Step-by-Step Explanation:

We first Solve for ‘x’ :-

=> 5(3x - 1) = 55
= 15x - 5 = 55
= 15x = 55 + 5 = 60
=> x = 60/15 = 4

Therefore, x = 4

We can now Substitute the value of ‘x’ in 2x - 2 to find the value :-

= 2x - 2
= 2(4) - 2
= 8 - 2
= 6

Therefore, 2x - 2 = 6 (as x = 4)

Hey ! there

Answer:

Value of 2x - 2 is 6 .

Step-by-step explanation:

In this question we are provided with an equation that is 5 ( 3x - 1 ) = 55 and we are asked to find the value of 2x - 2 .

Firstly , we need to find the value of x . So we need to solve the equation .

SOLUTION : -

[tex] \quad \longmapsto \qquad \: 5(3x - 1) = 55[/tex]

Step 1 : Dividing with 5 on both sides :

[tex] \quad \longmapsto \qquad \: \dfrac{ \cancel{5}(3x - 1)}{ \cancel{5}} = \cancel{\dfrac{55}{5} }[/tex]

On cancelling , We get :

[tex] \quad \longmapsto \qquad \:3x - 1 = 11[/tex]

Step 2 : Adding 1 on both sides :

[tex] \quad \longmapsto \qquad \:3x - \cancel{1} + \cancel{1} = 11 + 1[/tex]

On simplifying , We get :

[tex] \quad \longmapsto \qquad \:3x = 12[/tex]

Step 3 : Dividing with 3 on both sides :

[tex] \quad \longmapsto \qquad \: \dfrac{ \cancel{3}x}{ \cancel{3}} = \cancel{ \dfrac{12}{3} }[/tex]

We get ,

[tex] \quad \longmapsto \qquad \: \underline{\boxed{\frak{x = 4}}}[/tex]

→ Therefore , value of x is 4 .

Verifying : -

Now we are verifying whether our answer is wrong or right . So ,

5 ( 3x - 1 ) = 55

5 { 3( 4 ) - 1 } = 55

5 ( 12 - 1 ) = 55

5 ( 11 ) = 55

L.H.S = R.H.S

Hence , Verified .

Therefore , our value of x is correct/valid .

We need to find the value of 2x - 2 .

[tex] \quad \longmapsto \qquad \:2x - 2[/tex]

So substituting value of x in it :

[tex]\quad \longmapsto \qquad \:2( \bold{4}) - 2[/tex]

Multiplying 2 with 4 :

[tex]\quad \longmapsto \qquad \:8 - 2[/tex]

Subtracting 2 from 8 :

[tex]\quad \longmapsto \qquad \: \blue{\underline{\boxed{\frak{6}}}} \quad \: \bigstar[/tex]

Henceforth, value of 2x - 2 is 6 .

#Keep Learning

3.75
divided by 25
round off to the nearest rand​

Answers

Answer:

0.15 is the answer

Step-by-step explanation:

(6×1,000)+(1×100)+(2×10)+(9× 10 1 ​ )+(4× 100 1 ​ )=?

Answers

Answer:

11033

Step-by-step explanation:

#45 will give brainliest

Answers

Answer:

(-2, 3)

Step-by-step explanation:


An element decays by 50% every hour (in other words, it
has an hour half-life). If you have 48 grams of the element,
then how many grams will there be in 5 hours?

Answers

Answer:

1.5 grams

Step-by-step explanation:

This is because if there are five hours there will be 5 half lives due to it decaying 50% every hour. Therefore we would have to dived 48 by 2, 5 times or in other words 48÷[tex]2^{5}[/tex] = 1.5

Question 2 of 10
What is the value of the fraction below?0/25

Answers

the answer is A.0 because 0 devided by a number iz zero

On average, indigo drinks 2/5 of a 10-ounce glass of water in 4/5 of an hour. how much water does she drink, in glasses per hour? enter your answer as a whole number, proper fraction, or mixed number in simplest form.

Answers

Indigo drinks 5 ounces glasses per hour.

What is fraction?

A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole.

As in [tex]\frac{4}{5}[/tex]  hour she drinks =10*[tex]\frac{2}{5}[/tex]

                                     = [tex]\frac{20}{5}[/tex]

                                     =4 ounce

She is drinking 4 ounce in [tex]\frac{4}{5}[/tex]  hours,

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

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

=5 ounce in an hour.

She drink 5 ounces glasses per hour.

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I NEED HELP ASAP
The area of a square is 196 in2. What is the length of its side?
Choose one answer.
A. 12 inches
B. 16 inches
C. 13 inches
D. 14 inches

Answers

area of a square = s²

s² = 196

s = √196

therefore s = 14cm

hope it helps...!!!

Answer:

D. 14

Step-by-step explanation:

14 x 14

= 196

Hope it helps :))

a circle has a radius of 20 centimeters and a central angle that measures 216 degrees find the length of the arc defined by this central angle

Answers

Answer:

24π cm.

or

75.40 cm to the nearest hundredth

Step-by-step explanation:

The circumference = 2 π r = 2 * π *20

= 40π cm.

Length of the arc = 40 π * 216/360

= 40 * 0.6 *  π

= 24π cm

Select all acute angles:

Answers

Answer:

A, D and F

Step-by-step explanation:

cus they are an acute triangle because they are smaller than 90 degrees

What is the value of x?

( Not 16 )

Answers

Answer:

37

Step-by-step explanation:

You have to divide 74 by 2x to get your equation.

Answer:

37

Step-by-step explanation:

1-2x=74

2-Divide by two on both sides

3-2x÷2= x

4-74÷2=37

somebody... PLEASE help

What is the only solution of 2x2 + 8x = x2 – 16?

Answers

Answer:

x= - 4

Step-by-step explanation:

2 * x^2 + 8 * x = x^2 - 16

2 * x^2 - x^2 + 8 * x + 16 = 0

x^2 + 8 * x + 16 = 0

(x + 4) * (x + 4) = 0

x = - 4

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