Find the minimum sample size required to estimate the population proportion. Margin of error: 0.024; confidence level: 95%; p and q unknown?

Answers

Answer 1

Answer:

1667

Step-by-step explanation:

(Margin of Error)² = (z × 0.5)²/n

Where n = number of samples

Minimum number of samples formula = (z × 0.5)²/ (Margin of Error)²

From the above question:

Margin of Error = 0.024

z = z score of a 95% confidence interval = 1.96

Minimum number of samples

= (1.96 × 0.5)²/(0.024)²

= 0.9604/(0.024)²

= 1667.3611111

Approximately to the nearest whole number = 1667

Therefore, the minimum number of samples is 1667


Related Questions

A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one sheet. The diameter at the base is 260 m and the minimum diameter, 500 m above the base, is 180 m. Find an equation for the tower. (Assume the position of the hyperboloid is such that the center is at the origin with its axis along the z-axis, and the minimum diameter at the center.)

Answers

Answer:

(x/90)² + (y/90)² - z²/343750

Step-by-step explanation:

we assume that the horizontal cross-sections are circles,

From our equation

a= b

Given the minimum diameter as 180

The trace= ,0

Minimum radius a= 180/2= 90

The base of the tower is the trace in Z = -500

using the equation of hyperbole of one sheet below

(x/a)² + (y/b)² - ( (z/c)²=1

a= 90

+((-500)²/c)²

x² +y²=90²+ 55000²/c²

diameter at base= 260/2=130m

130² + 55000²/c²= 130²

We can find c

c²=55000²/(130²/90²) = 1210000/8800

= 343750

hence, the equation is

(x/90)² + (y/90)² - z²/343750

which is right??????

Answers

Answer:

Point D

Step-by-step explanation:

To draw a perpendicular bisector between BE, you have take more than half of the length BE on the compass. So, it should be D

If a container of liquid contains 40 oz of​ solution, what is the number of ounces of pure acid if the given solution contains the following acid​ concentrations? ​(a) 20​% ​(b) 15​% ​(c) 40​% ​(d) 60​%

Answers

Answer:

(d) 60% hope this helped

Round 452,906 to the nearest hundred thousand, ten thousand, thousand, hundred, ten

Answers

Answer:
500,000
450,000
453,000
452,900
452,910

Explanation:
Look to the right one digit of the place they are asking to round up to. If it’s either greater than or equal to 5, then you round up the place they want. If it’s not, then it stays the same. Then all the number to right of it become 0s.

Rounding 452,906 to each place is

(a) to nearest hundred thousand is 500,000

(b) to nearest ten thousand is 450,000

(c)to nearest  thousand is 453,000

(d) to nearest  hundred is 452,900

(e) to nearest  tens is 452,910

Given :

Round the number 452,906 to each place given below

(a) Round to nearest hundred thousand

In the given number , 4 is in hundred thousand's place

To round to nearest hundred thousand, we look at the number in ten thousands place that is 5. 5 is equal to 5. So we add 1 with the number in hundred thousand . write 0 in remaining places

452,906,  Round to nearest hundred thousand is 500,000

(b) To round to nearest ten thousand, we look at the number in thousands place that is 2. 2 s less than 5. So we  keep 5 in ten   thousands place . write 0 in remaining places

452,906,  Round to nearest ten thousand is 450,000

(c)To round to nearest thousand, we have 9 in hundreds place that is greater than 5. So add 1 with 2  and write 0 in remaining places

452,906,  Round to nearest  thousand is 453,000

(d) To round to nearest hundred, we have 0 in tens place that is less than 5. So write 9 as it is  and  0 in remaining places

452,906,  Round to nearest  hundred is 452,900

(e) To round to nearest ten , we have 6 in one's place that is greater than 5.

So add 1 with 0  and write 0 in one's place

To round to nearest thousand, we have 9 in hundreds place that is greater than 5. So add 1 with 2  and write 0 in remaining places

452,906,  Round to nearest  tens is 452,910

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Holmes Junior High has 125 more students than Harper Junior High. When the two schools are merged there will be 579 students. How many students currently attend each school?

Answers

Answer: 454

Step-by-step explanation: Holmes has 125, Merged there is 579, 579-125 = 454 :) easy subtraction

A rule of thumb for estimating the size of a crowd is that 2 people take up
5 square feet. If a club has a dance floor that is 30 x 20 feet, how many
people could crowd onto the floor?

Answers

Answer:

120 people

Step-by-step explanation:

Length of dance floor = 30 ft

Width of dance floor = 20 ft

Given that 2 people will occupy 5 ft² of space, the number of people that will crowd the floor of the dance floor is calculated as follows:

= Area of dance floor ÷ 5 ft²

= (30*20) ÷ 5

= 600 ÷ 5

= 120.

120 people will crowd the dance floor.

Factor by grouping.
8y2 + y + 40y + 5

Answers

Answer: (8y+1)(y+5)

Step by step:
8y2 + y +40y + 5
y(8y+1) + 5(8y+1)
(8y+1)(y+5)

14
13. MR1 Make Sense and Persevere
Ms. Wilson bought two bags of pet
fish for her twin nieces. Each bag has
g gupples and one tetra. She also
bought one box of fish food that cost d
dollars. Write an algebraic expression to
represent how much she paid in all.

Answers

Answer:

67thnhttbny

Step-by-step explanation:

An algebraic expression that represent h how much she paid in all is 2(g+ 1) + d.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The following represents the items bought

Each bag has g gupples and one tetra.

She also bought one box of fish food that cost d dollars.

The expression that represents the items in a bag will be;

bag = g + 1

So, the total spent on fish food is:

2(g + 1)

Fish food

A box costs d dollars.

This means that, the total amount Ms. Wilson spent in the store is 2(g+ 1) + d

An algebraic expression that represent h how much she paid in all is 2(g+ 1) + d.

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10 – 9 x 24 ÷ 8 x 6 Solve With Pemdas

Answers

Answer:

The answer is − 152

Step-by-step explanation:

That was found using PEMDAS.

Answer:

-152

Step-by-step explanation:

use pemdas method

"If four shirts cost $112, how much will 10 shirts cost? Assume all the shirts are the same price."

Answers

Answer:

$280

Step-by-step explanation:

4 shirts = $112

1 shirt = $112 ÷ 4

= $28

10 shirts = $28 × 10

= $280

Answer:

Step-by-step explanation:

112/4= $28 each

$28 x 10 shirts = $280

Mr. Weston boughtn,new microscopesn for his science classroom. each microscope cost $99.90, and he spent a total of $499.50 how many nicroscopesn,did Mr Weston buy?​

Answers

Answer:

5

Step-by-step explanation:

Take the total amount spent and divide it by the cost of each microscope.

$499.50 ÷ $99.90 = 5

Answer:

5

Step-by-step explanation:

find the value of x when lines w and v are parallel.

Answers

Answer: B. 17

Step-by-step explanation:

4x-3 = 65

Add 3 on both sides

4x = 68

Divide by 4 on both sides

x = 17

BOOM!

Answer:

B) 17

Step-by-step explanation:

Find the length of each segment with endpoints A and B. Select the exact answer. (This means that it is either an integer or in simplest radical form) A (5,-6) B (-2,-8) a 10 b 3 c53 d 17 ​

Answers

It’s b bucko I did that

Describe the transformation of the graph of the parent function y = √x for the function y = √x + 7 + 5.

Answers

Answer:

First part 7 units left and 5 units up

The 2nd part is v ≥-7 and the third part is Y≥5

Step-by-step explanation:

Done it in Edge and got it right :)

The transformation of parent function [tex]y = \sqrt{x }[/tex] to [tex]y = \sqrt{x + 7} + 5[/tex] is first translated 7 units left and then it translated 5 units up.

What is function?"It defines the relation between input and output values.""In function, for each input there is exactly one output."What is transformation of function?

"It is nothing but mean transforming the function from one form to another."

For given question,

We have been given a function [tex]y=\sqrt{x}[/tex]

We need to describe the transformation of the graph for the function [tex]y = \sqrt{x + 7} + 5[/tex]

We know, if f(x) is transformed to f(x + a) then it means function f(x) is translated 'a' units left.

So, [tex]y=\sqrt{x+7}[/tex] means the function [tex]y = \sqrt{x}[/tex] is translated 7 units left.

We know, if f(x) is transformed to f(x ) + a then it means function f(x) is translated 'a' units up.

So, [tex]y = \sqrt{x + 7} + 5[/tex] means the function [tex]y = \sqrt{x + 7}[/tex] is translated 5 units up.

Therefore, the parent function [tex]y = \sqrt{x }[/tex] is first translated 7 units left and then it translated 5 units up.

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You asked a sample of individuals what kind of animal is their favorite. Of the 167 individuals in your sample, 52 of them answered "dog". Which of the following gives a 95% confidence interval for the true percentage of individuals whose favorite animal is a dog
a. (23.4%, 38.9%)
b. (16.8%, 32.3%)
c. (3.1696, 3.2696)
d. (2.21%,4.21%)

Answers

Answer:

a. (23.4%, 38.9%)

Step-by-step explanation:

Р = x/∝ = 52/167 = 0.3114

At 95% confidence level

∝ = 1 - 0.95 = 0.05

Zerit = Z0.05/2 = 1.96

Р ± Zerit [tex]\sqrt{P(1-P) / n}[/tex]

= 0.3114 ± 1.96 [tex]\sqrt{0.3114(1-0.3114) / 167}[/tex]

= 0.3114 ±  0.0702

= 0.2412 or 0.3816

= 24.1% or 38.1%

Closest Option = 23.4%, 38.9%

A 95% confidence interval for the true percentage of individuals whose favorite animal is a dog is (23.4%, 38.9%)

The formula for calculating the confidence interval based o proportion is expressed according to the formula:

[tex]p\pm z\sqrt{\frac{p(1-p)}{n} }[/tex]

z is the z-score at 95% confidence interval

p is the proportion

n is the sample size

Given the following parameters

p = 52/167 = 0.31

z = 1.96

n = 167

Substitute the given parameters into the formula to have:

[tex]CI=0.31 \pm 1.96\sqrt{\frac{0.31(1-0.31)}{167} } \\CI=0.31 \pm 1.96\sqrt{\frac{0.31(0.69)}{167} } \\CI=0.31 \pm 1.96(0.035)\\CI=0.31\pm 0.0701\\CI = (0.31-0.0701, 0.31+0.0701)\\CI=(0.234, 0.389)[/tex]

Hence a 95% confidence interval for the true percentage of individuals whose favorite animal is a dog is (23.4%, 38.9%)

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(True or False) The set of ordered pairs {(6,4),(2,-5),(-2,4),(6,-4)} is a function

Answers

Answer:

False

Step-by-step explanation:

The same function input (the first number in the pair) cannot have two different outputs (the second number in the pair).

(6, 4) 4 is one output.

(6, -4) -4 is another output.

The door was 6ft 7 inches high. How many inches is that?
What the answer

Answers

Answer:

79 inches is how tall the door is

Step-by-step explanation:

The answer is 79 inches

Explanation
6x12 = 72 + 7 =79

Ashley's Internet service is terribly unreliable. In fact, on any given day, there is a 25 % chance that her Internet connection will be lost
at some point that day. What is the probability that her Internet service is not broken for five days in a row? Enter a fraction or round
your answer to 4 decimal places, if necessary.

Answers

Answer:

The probability that her internet service will not be broken for five days in a row is 243/1024

Step-by-step explanation:

Here, we want to calculate the probability that her internet service is not broken for five days in a row

Let the event that her internet will be broken be B and the event that her internet will not be broken be N

P(B ) = 25% = 0.25

P(N) = 1-0.25 = 0.75 = 3/4

Thus, the probability that her internet is not broken for five days in a row = P(N) * P(N) * P(N) * P(N) * P(N)

= 3/4 * 3/4 * 3/4 * 3/4 * 3/4 = 243/1024

Help me solve this problem.

Answers

We can write an equation to resemble the problem.

1160 = 170 + 50x

x equals the number of boxes he is carrying.

Solve for x.

1160 = 170 + 50x

990 = 50x

19.8 = x

We can't round up because that will be to much weight. So, we are going to round down.

19.8 -> 19

Therefore, the answer is 19.

Best of Luck!

Answer: 19 boxes

Step-by-step explanation: Subtract the delivery person to get 990 lbs. then divide by 50 to get 19.8, but since we can't have 0.8 of a box and 20 boxes we go over, 19 boxes is the correct answer.

Kai had a gross weekly paycheck of $616 last week. Kai worked 6 hours for 4 of the days and 8 hours on 1 day. What is Kai's hourly rate of pay? a. $16.21 b. $19.25 c. $20.53 d. $25.67 Please select the best answer from the choices provided

Answers

The correct answer is B. $ 19.25

Explanation:

To calculate the hourly rate of pay, first, let's calculate the total number of hours Kai worked, and then divide the total earned into the number of hours.

6 hours x 4 days = 24 hours

8 hours x 1 day = 8 hours

24 hours + 8 hours = 32 hours

This shows Kai worked a total of 32 hours. Now to find the hourly rate of pay, follow this procedure:

$616 (total earned) ÷ 32 hours = $19.25 each hour

This means Kai earns $19.25 for each hour of work and therefore the hourly rate of pay is $19.25.

Answer:

B

Step-by-step explanation:

The expression y2 – 10y + 24 has a factor of y – 4. What is another factor of y2 – 10y + 24? y – 20 y – 14 y – 8 y – 6

Answers

Answer:

y - 6

Step-by-step explanation:

Given

y² - 10y + 24

Consider the factors of the constant term (+ 24) which sum to give the coefficient of the y- term (- 10)

The factors are - 4 and - 6, since

- 4 × - 6 = + 24 and - 4 - 6 = - 10, thus

y² - 10y + 24 = (y - 4)(y - 6)

Thus the other factor is (y - 6)

(y - 4) and ( y - 6 ) are the factors of the quadratic equation

What do you mean by quadratic equation?

The equation ax2 + bx + c=0 in one variable, with a 0, is known as a quadratic equation. As it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution.The answer could be simple or complicated.

The roots of the quadratic equations are

x = [-b ± √ (b² - 4ac)] / ( 2a ) ( 2a )

Since (b2 - 4ac) is positive, we have two real solutions where (b2 - 4ac) is the discriminant.

When the discriminant is 0, there is just one viable option (both answers are the same)

In the case of a negative discriminant, two complicated solutions are obtained.

Let the quadratic equation be expressed as A given the data.

Right now, A is valued at

y² - 10y + 24   be equation (1)

The quadratic equations' roots are

y = [ -b ± √ ( b^2 - 4ac ) ] / ( 2a )

y = 10 ± √ ( 100 ) - ( 4 ( 24 ) ) / 2

y = ( 10 ± √4 ) / 2

y = ( 10 ± 2 ) / 2

As a result, y has two values of 10 + 2 / 2 and 6

And , y = (10 - 2) / 2 y = 4

In addition, the variables in the equation are

( y - 4 ) ( y - 6 ) = y² - 10y + 24

The quadratic equation is therefore resolved.

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Is the open sentence 3z = 2z + 5 true or false when z = 5? A.True B.False

Answers

Answer:

3z = 2z + 5

when z=5

3*5=2*5+5

15=15

so true

Step-by-step explanation:

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is
driven.

Answers

Answer:

.75x+35

Step-by-step explanation:

you multiply how ever many times you would add .75 in this case you dont know so u would put and x there and 35 is your starting point

What is a complementary angle versus a supplementary angle?
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees.

Step-by-step explanation:

If sum of two angles equals
90

then the two angles are said to be complementary.
If sum of two angles equals
180

then the two angles are said to be supplementary.
Verticall Angles are the angles opposite each other when two lines cross. They are always equal. "Vertical" in this case means they share the same Vertex (corner point), not the usual meaning of up-down.

Perform the indicated operation.
g(x) = x - 3
f (x) = x3 + 4x
Find g(x) - f (x)

Answers

Answer: g(x)-f(x)=-x³-3x-3

Step-by-step explanation:

Since we are given g(x) and f(x), we can directly subtract them to find g(x)-f(x).

x-3-(x³+4x)           [distribute -1]

x-3-x³-4x              [combine like terms]

-3-x³-3x                 [rewrite]

-x³-3x-3

Now, we know that g(x)-f(x)=-x³-3x-3.

need help!! which is tight?

Answers

Answer:

65°

Step-by-step explanation:

Complimentary angles are two angles that add up to 90°

So, to find the unknown angle, simply subtract 25 from 90.

90-25=65

The other angle is 65°

65* maybe this is correct answer
90-25=65

The zeroes of the function are​

Answers

The answer is -2 , 0, and 4

Graph the solution of 5 ≤ 9 - 4a
A) A
B) B
C) C
D) D

Answers

Answer:

D

Step-by-step explanation:

♡ The Question ♡

Graph the solution of 5 ≤ 9 - 4a

A) A

B) B

C) C

D) D

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Answer ♡

-I believe the answer should be the first choice, A!

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*  

♡ The Explanation/Step-By-Step ♡

-No Explanation/Step-By-Step provided!  

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ Tips ♡

-No Tips provided!

will give braineliest can anyone explain and answer this i reallllllly need help i will love you forever:) √5(8+3√6)

Answers

Answer:

34.3202205452

Step-by-step explanation:

Using the product rule for radicals and the fact that multiplication is commutative, we can multiply the coefficients and the radicands as follows.

Use the distributive property when multiplying rational expressions with more than one term.

Hi There!!

I think your answer is:

[tex]\sqrt[8]{5}+ \sqrt[3]{30}[/tex]

I'm not sure this 100% right....

[tex]\sqrt{HopeThisHelps}[/tex]

[tex]Loserbrazts[/tex]

ヾ(•ω•`)o

Sal has 5 balloons. He has 3 red balloons. The rest are blue. Kay has 5 more blue balloons than sal. How many blue balloons does kay have?

Answers

Answer:

Kay has 7 blue balloons

Step-by-step explanation:

if Sal has 5 red balloons and 2 blue balloons and Kay has 5 more blue balloons than Sal the Kay has 7 blue balloons

The number of blue balloons does Kay have is 7.

Given that, Sal has 5 balloons. He has 3 red balloons. The rest are blue.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of blue balloons does Kay have be x.

Number of blue balloons Sal have = 5-3=2

The number of blue balloons does Kay have = Kay has 5 more blue balloons than Sal

⇒ x = 2+5 = 7

Therefore, the number of blue balloons does Kay have is 7.

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