(31 points) Wilson County School District consists of 2,548 students. The district decided to conduct a survey regarding their new dress code policy. Wilson County School District surveyed 479 of their students and found that 42% of those surveyed disliked the new dress code policy. What is the margin of error, assuming a 95% confidence level?

Answers

Answer 1

Answer:

+ or - 0.044

Step-by-step explanation:

Answer 2

The margin of error is 0.044.

What is a Margin of Error?

A Margin of Error is defined as the results will vary from the actual population value by how many percentage points, as indicated by the margin of error.

The margin of error using this formula, where z is the critical value.

[tex]ME = z\sqrt{\dfrac{T(1 - t)}{n} }[/tex]

To determine a margin of error for a sample proportion,

Where n is the sample size and is the sample proportion, these assumptions must be true.

n t ≥ 10

n(1 - t) ≥ 10

Write the proportion of lead to significant as a decimal number first,

42%

= 0.42

Now substitute the sample proportion and the sample size, 479, the assumptions are inserted into the equations to see if they are satisfied.

⇒(479X0.42) 201.18

⇒ (479)(1 − 0.42)

⇒  277.82

Both values are greater than 10, so the assumptions are satisfied, and the margin of error can be calculated.

Determine the margin of error using this formula, where z is the critical value.

[tex]ME = z\sqrt{\dfrac{T(1 - t)}{n} }[/tex]

For a 95% confidence level, z = 1.96.

Substitute the values of z, n, and T into the formula for margin of error and evaluate.

[tex]ME = 1.96\sqrt{\dfrac{0.42(1 - (10.42)}{479} }[/tex]

ME ≈ 0.044

Hence, the margin of error is 0.044.

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Related Questions

M is 5 .....plsss help I need emergency help
.......I will mark you as brainlist

Answers

Answer:

100

Step-by-step explanation

5^2=25 25x4=100

Write this decimal
as a percent.

0.872

Answers

87.2% hope this helps

Answer:

87.2%

Step-by-step explanation:

move the decimal point 2 places to the right

3. Which choice below is an approximate volume of oil that the tank
below can hold?
78 ft. **
25 ft.
OIL TANK
*WHAT IS THE ANSWER*

Answers

Answer
78ft
Explanation

Step by step

Answer: the answer is 119,459ft lol

Step-by-step explanation:

I sacrificed my own score to get a result for the correct answer

I need help on this math question, coordinate planes.

Answers

Answer:

where is the question?

Step-by-step explanation:

the picture is all black.

Answer:

4840 yards squared!

Question 3 (1 point)
Mrs. Randolph has 39 math books and 57 science books that she needs to put in boxes. Each box can hold 8 books. How many
boxes does Mrs. Randolph need? Explain.

Answers

The answer is 12.
57 + 39 = 98
98 divided by two is equal to 12.

This can also be shown by multiplication. 12x8=96
I hope this helped you! :)

I really wasn’t paying attention so if you can put an explanation down please that would be amazing

Answers

Answer:

16+3 = 19+ 6 =25

Step-by-step explanation:

Add all the numbers

Answer is= 25

What is the greatest common factor of 42 and 3

Answers

Answer:

3

Step-by-step explanation:

Prime factorize 42 and 3 and you'll eventually get 3 as your answer.

Answer:

3

Step-by-step explanation:

Since you are looking for the greatest common factor, 3 cant have many factors other than itself. So it would be 3, when simplified its similar to 42/3 and 3/3 where it would be 14 and 1.

please help me i love u

Answers

Answer:

It’s A.

Step-by-step explanation:

When Anna commutes to work, the amount of time it takes her to arrive is
normally distributed with a mean of 51 minutes and a standard deviation of 5
minutes. Using the empirical rule, determine the interval that represents the
middle 68% of her commute times.

Answers

Answer:

(46,56)

Step-by-step explanation:

Find the value of x.

Answers

Answer:

X = 55

Step-by-step explanation:

The angles have the same degrees, as they intersect at one point.

The answer would be x=55 because both sides are equal.

The area of Kylie's room is 400 square feet. The width of her room is 20 feet. What is the length of her room?

Answers

Answer and Step-by-step explanation:

Assuming the room is a type of rectangle, we need to divide the area by the width to get the length.

So, do 400 divided by 20 to get the length, as length times width equals the area.

400 divided by 20 = 20.

The length of the room is 20 ft. (meaning the room is a perfect square.

#teamtrees #PAW (Plant And Water)

A square has a side length of 12 cm. Which of the following is closest to the length of its diagonal? A) 9 cm B) 12 cm C) 12v 2 cm D) 24V3 cm 12 VT Fora​

Answers

C) 12V2
12^2 + 12^2 = c^2
144 + 144 = 288
V288 = 12V2


[tex] \sqrt{4 {}^{4} } [/tex]

Answers

Answer:

16 will be your answer

Step-by-step explanation:

hope it helps..

Thanks again for the points bro!!

(add. write your answer as a fraction, as a whole or as a mixed number)
PLEASE HELP . WILL GIVE BRAINLIEST !

Answers

Answer:

11 2/9.

Step-by-step explanation:

1 8/9 + 9 1/3

= (1 + 9) + (8/9 + 1/3)

= 10 + (8/9 + 1/3)

8/9 + 1/3:

LCD of 3 and 9 is 9 so we have:

8/9 + 3/9 = 11/9

11/9 = 1 2/9

Answer = 10 + 1 2/9

= 11 2/9.

Answer:

[tex]11\frac{2}{9}[/tex]

Step-by-step explanation:

[tex]1\frac{8}{9} +9\frac{1}{3}=1\frac{24}{27} +9\frac{9}{27} =10\frac{33}{27} =11\frac{6}{27}=11\frac{2}{9}[/tex]

What is the total surface area of the prisim

Answers

Answer:

A. 846 cm²

Step-by-step explanation:

1539 ÷ 19 = 81

√81 = 9

9 · 9 · 81 = 1539

A = 2(wl + hl + hw)

A = 2(19 · 9 + 9 · 9 + 9 · 19)

846 cm²

Which two products can add to find 9 times 4?

Answers

Answer:

2x18=36

im not sure if that's what you meant but i can answer again if you want

Step-by-step explanation:

Answer:

sin ( 330 )

 csc  ( 60 )

cos  ( 390 )

Step-by-step explanation:

i really need help!!!

Jason, Lewis, and Nora will be placed in a line along with 7 other people.


What is the probability that they will be next to each other in any order?
Give percentage

Answers

Answer:

[tex]Pr = 6.67\%[/tex]

Step-by-step explanation:

Given

[tex]n = 10[/tex] i.e. 10 people

Required

Probability of being next to each other

First, we calculate the total possible arrangements (without any restriction)

[tex]Total = n![/tex]

[tex]Total = 10![/tex]

If the three are to be next to each other,

First, we arrange the three

[tex]r_1 = 3![/tex]

Now, the 3 will be seen as 1; so, we have a total of 8 people i.e. (1 + 7 others)

The arrangement is:

[tex]r_2 =8![/tex]

So, the total arrangement, when they have to be next to one another is:

[tex]r = r_1 * r_2[/tex]

[tex]r = 3! * 8![/tex]

The probability is:

[tex]Pr = \frac{r}{n}[/tex]

[tex]Pr = \frac{3! * 8!}{10!}[/tex]

Expand

[tex]Pr = \frac{3*2*1 * 8!}{10*9*8!}[/tex]

[tex]Pr = \frac{3*2*1}{10*9}[/tex]

[tex]Pr = \frac{6}{90}[/tex]

[tex]Pr = 0.0667[/tex]

Express as percentage

[tex]Pr = 0.0667 * 100\%[/tex]

[tex]Pr = 6.67\%[/tex]

PLEASE HELP! 100 PTS
What is the angle of elevation that is required for a hit ball to just clear the center field fence when it is hit 2 ft above the ground? Show all of your work and round your answer to the nearest hundredth of a degree.

I know the degree but I need to know how the degree was found. I am using the U.S Cellular Field, aka the Guaranteed Rate Field in Chicago, IL.
The distance from the home plate to the center-field fence is 400 ft. The height of the center field fence is 8 ft. The given angle of elevation is 0.86 degrees.

Answers

C is the point on the ground where the person is standing and which is making the angle of elevation of 60° AB (Height) = ? Example 2 :Height of tree is 8.65m, the angle of elevation of the top of tree is 60° find the distance at which the person is standing away from tree ? Solution : Let AB is the tree. B is the foot and A is the top of tree.

AB=8ft

2 ft above

AB=10ftBC=400ft

Now

Angle be x

Apply Pythagorean theorem

[tex]\\ \rm\Rrightarrow tanx=\dfrac{10}{400}[/tex]

[tex]\\ \rm\Rrightarrow tanX=\dfrac{1}{40}[/tex]

[tex]\\ \rm\Rrightarrow tanX= 0.025[/tex]

[tex]\\ \rm\Rrightarrow X=tan^{-1}(0.025)[/tex]

[tex]\\ \rm\Rrightarrow X=1.432°[/tex]

An online furniture store sells chairs for $150 each and tables for $600 each. Every day, the store can ship a maximum of 18 pieces of furniture and must sell at least $5400 worth of chairs and tables. If x represents the number of tables sold and y represents the number of chairs sold, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer:

13,500

Step-by-step explanation:

x + y = 750

750 x 18 = 13.500

The value of the number of tables will be 6 and the number of chairs will be 12.

How to form an equation?

When trying to set up or construct a linear equation to fit a real-world application, identify the known quantities and use the unknown quantity as a variable.

In other words, an equation is a set of variables that are constrained through a situation or case.

From the question constraint of a maximum of 18 pieces of furniture

x + y =18

From the question constraint of at least $5400 worth of chairs and tables

600x + 150y ≥ 5400

By equation first, y = 18 - x put this into second

600x + 150(18 - x) ≥ 5400

450x ≥ 2700

x ≥ 6 hence there is need to sell at least 6 tables.

Put x =6 into x + y =18 then

y = 12 hence at least 12 chairs need to be sold.

For more about the equation

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The number line below represents the solution to which inequality?

F. -2x + 728
H, 6x 9-21
G. 7x + 1134
J. -3x - 155 -27​

Answers

I think it is f but I’m not sure hope this helps

Please help!! Will give BRAINLIEST!!!!

Answers

Answer:

domain is all real numbers except -6

Step-by-step explanation:

Answer:

domain is all real numbers except -6

Step-by-step explanation:

Select all ordered pairs that satisfy the function y= -1/2x + 4 a) (-1, 3&1/2) b) (1, 3&1/2) c) (2&1/2, 3) d) (2, 3)

Answers

Answer:

The correct options are:

Option b) (1, 3 + 1/2)

Option d) (2,3)

Step-by-step explanation:

Suppose that we have a function:

y = f(x)

A ordered pair (a, b) satisfies this function if:

b = f(a).

In this case, the function is:

y = -(1/2)*x + 4

Let's try with each one of the options:

a) (-1, 3 + 1/2)

Replacing these values we get:

3 + 1/2 = -(1/2)*-1 + 4

3 + 1/2 = 1/2 + 4

3 + 1/2 = 4 + 1/2

This is false, then the point (-1, 3 + 1/2) does not satisfy the function.

b) (1, 3 + 1/2)

Replacing these values we get:

3 + 1/2 = -(1/2)*1 + 4

3 + 1/2 = 4 - 1/2 = (3 + 1) - 1/2 = 3 + (1 - 1/2) = 3 + 1/2

3 + 1/2 = 3 + 1/2

This ordered pair satisfies the function.

c) (2&1/2, 3)

Replacing these values we get:

3 = (-1/2)*(2 + 1/2) + 4

3 = -(1/2)*2 - (1/2)*(1/2) + 4

3 = -1 - 1/4 + 4

3 = 3 - 1/4

This is false, then the point (2 + 1/2, 3) does not satisfy the function.

d) (2, 3)

Replacing these values in the function we get:

3 = -(1/2)*2 + 4

3 = - 1 + 4

3 = 3

This is true, then (2, 3) satisfies the function.

2 x - 3+ 1 x6 is equal to?

A. - 48
B. - 1
C.0
D. 1

Answers

Answer:

C.0

Step-by-step explanation:

THINK PEMDAS

1*6 multiply first. 1*6 is 6

2*-3 is -6

then when you add them, they cancel out

6-6=0

5. Classify each triangle by its angle and sides

Answers

Answer:

5 is D

6 is C

Step-by-step explanation:

Define:

Equilateral - All sides and angles are congruent

Isosceles: Two congruent sides and two congruent angles

Scalene: No congruent sides or angles

Right triangle: A triangle with a right angle ( note that a right angle has a measure of 90 degrees )

obtuse triangle: A triangle with an obtuse angle ( obtuse angles have a measure of more than 90 degrees. )

Acute triangle : A triangle with an acute angle ( an acute angle has a measure of less than 90 degrees )

Answer:

the triangle shown in # 5 has a right angle and 2 congruent sides and angles

Therefore the triangle in #5 is a right isosceles

The triangle shown in #6 has an angle with a measure that is more than 90 degrees and have no congruent sides or angles therefore the triangle in #6 is an obtuse scalene.

A. -5
B. 11
C. 38 - 8i
D. 3+ 8i

Answers

Answer:

D.

Step-by-step explanation:

Answer:

Step-by-step explanation:

D

If OK and GE are parallel, what must the length of GE be?

Answers

Answer:

let the length of GE be x,

[tex] \frac{9}{3} = \frac{x}{2} [/tex]

being similar triangle.

9×2=x×3

18 = 3x

x = 18/3

x = 6 cm

20 points pls answer

Answers

The answer to the first one is 0.879 and the second is 50%

SOMEONE PLEASEEEE HELPPPP

Answers

[tex]adjacnt {}^{2} = opposite {}^{2} + hypotenuse {}^{2} \\ adjacent {}^{2} = 8 {}^{2} + 12 {}^{2} \\ adj {}^{2} = 64 + 144 \\ adj {}^{2} = 208 \\ adjacent = \sqrt{208} \\ adjacent = 4 \sqrt{13} [/tex]

Simplify the product. Write the answer in standard form.
(9 − 2t2)(9 + 2t2)

Answers

Answer:

-4t^4+81

Step-by-step explanation:

(9-2t^2)(9+2t^2)

−4

Can somebody answer these for me

Answers

Answer:

2) =22

3)= k> 18

Step-by-step explanation:

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