(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

can anyone help please? I’ll give brainliest !

Answers

Answer:

I think he has $9800 left to pay off

Step-by-step explanation:

multiply the tuition(10350)by 2. Then subtract 1/3 of that (6900) by the price (20700) thensubtract the $4000 he gets from his job

What is the Evaluate the expresson for p = 4

9p = _____
I need help I'm new to this ;-;

Answers

The answer is 36

9p=___
9(4)=36

what's the value of x?

Answers

Answer:

x=40

Step-by-step explanation:

Reflections have to be equal to each other.

Therefore, the equation is going to be 3x-6=114. This is equal to 3x=114+6. This is equal to 3x=120. x=120/3. x=40. Therefore, x=40.

If this helps please mark as brainliest

Answer:

X=40   pls mark brainlist it would really help

Step-by-step explanation:

3x-6 must equal 114. So...

3x-6=114

+6      +6

3x=120

/3     /3

x=40

I need formulas for volumes of cones and cylinders. And other 8th grade math formulas if you have any, preping for eog.

Answers

Answer:

(Shown below)

Step-by-step explanation:

Here are a few formulas for shapes:

Perimeter of a rectangle: Length + Length + Width + Width = PerimeterArea of a rectangle: Length * Width = AreaPerimeter of a triangle: Base + Height + Hypotenuse = PerimeterArea of a triangle: (Base * Height)/2 = AreaTo find the missing side length in a right triangle: [tex]a^{2} + b^{2} = c^{2}[/tex]Circumference of a circle: (2 * [tex]\pi[/tex] * r) = CircumferenceArea of a circle: [tex]\pi (r)^{2}[/tex] = AreaSurface area of a rectangular prism: All sides added up = Surface areaVolume of a rectangular prism: Length * Width * Height = AreaVolume for a sphere: [tex]\frac{4}{3}\pi r^{3}[/tex] = VolumeVolume for a cylinder: [tex]pi (r^{2})h[/tex] = VolumeVolume for a cone: [tex](pi (r^{2})h)/3[/tex] = Volume

Here a few formulas for functions, if you need it:

Linear function: y = mx + bQuadratic function: [tex]ax^2+bx+c = 0[/tex]Quadratic formula: (Shown at the bottom)

Hope this helps!

Which of these is part of the prime factorization of 630?

3 with a tiny 2 x 7

5 with a tiny 3

3 with a tiny 3

5 with a tiny 2 x 7​

Answers

Answer:

I don't really get the answer choices but I can show you how I did my work using factor trees.

I put astericks(*these) around the prime #'s(what's in the circles).

      630

         ^

        2.*   315

                 ^

         5. *       63

                        ^

                     3.*   21

                              ^

                            7*.  3*

hope this helps!!

In the figure below, ACDE is similar to AFGH.
D
G
11
8
C
5 E
2X+4
F
H
If the perimeter of AFGH is 48 units, find the value of x.

Answers

Answer:

6

Step-by-step explanation:

[tex]1)\ P_1 = 11 + 8 + 5 = 24\ units[/tex]

[tex]2)\ 2x + 4 + y +z = 48[/tex]

[tex]3)\ \frac{48}{24} = 2 => 2x+4 = 2*8[/tex]

[tex]4)\ 2x+4 = 2*8 => 2x + 4 = 16 => 2x = 12 => x = 6[/tex]

Answer:

6

Step-by-step explanation:

[tex] \triangle CDE \sim \triangle FGH[/tex]

[tex] \frac{P(\triangle CDE) }{P(\triangle FGH)} =\frac{CD}{GH} [/tex]

(Area of similar triangle theorem)

[tex] \frac{11+8+5}{48} =\frac{8}{2x +4} [/tex]

[tex] \frac{24}{48} =\frac{8}{2x +4} [/tex]

[tex] \frac{1}{2} =\frac{8}{2x +4} [/tex]

[tex] 2x + 4 = 2\times 8[/tex]

[tex] 2x + 4 =16[/tex]

[tex] 2x =16-4[/tex]

[tex] 2x =12[/tex]

[tex] x =\frac{12}{2} [/tex]

[tex] x = 6 [/tex]

ITS FOR A TEST PLS HELP
Alyssa is trying to pick out an outfit for the first day of school. She can choose
from 4 pairs of pants, 8 t-shirts, 8 sweaters or hoodies, and 5 pairs of shoes.
How many different outfits does Alyssa have to choose from?

Answers

She can choose from 1280 outfits

4x8x8x5 = 1280

The number of different outfits is 1280

How to determine the number of different outfits?

From the question, we have the following parameters that can be used in our computation:

8 pairs of pants, 6 t-shirts, 6 sweaters or hoodies, and 2 pairs of shoes

The number of different outfits is equal to the products of the count of each apparel.

This is represented as;

Different outfits = Pants * T-shirts * Sweaters or hoodies * Pairs of shoes

Substitute the known values in the above equation;

Different outfits = 4 x 8 x 8 x 5

Evaluate;

Different outfits = 1280

Hence, there are 1280 different outfits

Read more about combination at;

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Please help. Find sinA

Answers

Answer: 32/40

Step-by-step explanation:

Sin is Opp/Hyp

Sin A is 32/40

The answer to that will be 32/40

Find the surface area of the triangular prism shown below. 5ft 5ft 3ft 7ft 8ft .

Answers

Answer:

30ft

Step-by-step explanation:

2
s=ut + 1/2at^2
Find the value of s when u = 5.2, t=7 and a = 1.6​

Answers

Answer:

S=75.6

Step-by-step explanation:

[tex] \frac{1}{ 2} [/tex]

In Stacia's town, 60% of registered people vote
regularly. A spinner with equal-sized sections
numbered 0 to 9 can be used to represent those
who do and
do not vote.
a. What numbers can be assigned to represent
those who do vote and those who do not vote?

Answers

Answer:

6 Voted , 4 Not Voted

Step-by-step explanation:

10 sections, so 0.60 * 10 = 6 sections Voted

0.40 * 10 =  4 sections not Voted

Felicia pours 34 of a 212-liter bottle of chlorine solution into a swimming pool. Then, she measures out 38 liter of the remaining solution to use to clean the pool filter. How much chlorine solution is left in the bottle?

Answers

Answer:

140 liters

Step-by-step explanation:

Felicia pours 34 out of 212 liters of chlorine solution into a swimming pool

= 212-34

= 178 liters

He uses 38 liters out of the remaining solution to clean the pool filter

178-38

= 140

Hence what is left is 140 liters

7 1/2 divided by 3/4 =?

Answers

10 i'm pretty sure sorry if i'm wrong

Answer:

7 1/2 divided by 3/4 is 10

Step-by-step explanation:

10

Brainiest please and thank you



An item sells for $40. The sales tax on
the item is 8%. What is the sales tax and
total cost?
Tax
Total

Answers

Answer:

sales tax is $3.2 ans total is $43.2

Step-by-step explanation:

what is 4,000,000 + 800,00 + 10,000 + 2,000 + 400 + 80 + 9 in standard form?

please help asap​

Answers

Answer:

4,812,489

Step-by-step explanation:

Answer:

408,12,489

Step-by-step explanation:

hope it helped you

Help^^^^^^^^^^^^^^************

Answers

I’m pretty sure that the one you marked is correct

Answer and Step-by-step explanation:

The answer you chose is correct:

D. 2(5w + 5)

This is equivalent to 10w + 10.

This is because the 2 is a factor of 10, so when distributed out of the 10's, we get 5.

#teamtrees #PAW (Plant And Water)

Please help!!! Confused.

Answers

Answer:

[tex] {x}^{2} + 11x + 30[/tex]

Step-by-step explanation:

Area is length x width

The length is

[tex](x + 6)[/tex]

The width is

[tex](x + 5)[/tex]

Multiply both using FOIL Method

[tex](x + 6)(x + 5)[/tex]

[tex] {x}^{2} [/tex]

[tex]6 \times x = 6x[/tex]

[tex]5 \times x = 5x[/tex]

[tex]6 \times 5 = 30[/tex]

Write in standform form

[tex] {x}^{2} + 6x + 5x + 30[/tex]

[tex] {x}^{2} + 11x + 30[/tex]

A jar contains 9 marbles marked with the numbers 1 through 9. You pick a marble at random. What is the probability of not picking the marble marked with the number 2? Enter your answer as a simplified fraction. The probability of not picking the marble marked with the number 2 is

Answers

Answer:

1/9 or unlikely

Step-by-step explanation:

Answer:

8/9

Step-by-step explanation:

Find U of trapezoid TUVS

Answers

Answer:

∠U=103°

∠V=77°

∠T=103°

∠S= 77°

Step-by-step explanation:

:)

Which expression is equivalent to 64y^18 - 1000z^6?

Answers

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Expression is equivalent to 64y¹⁸ - 1000z⁶ : (4y⁶)³- (10z²)³

What is the answer to this question?:

17a - 2a + 5 - 2

Answers

Answer: 15+3

Step-by-step explanation:

PLEASE HELP MATH I DON'T GET IT

Answers

I think that y=something on the graph and x= something on the graph

Choose the statement that best describes the error in finding the volume of the solid.

Answers

Answer:

the formula used gives surface area instead of volume

The segments shown below could form a triangle.
help please :)

Answers

That’s false because two lines are to short so it’s false

Answer:

The answer is false! :)

If you know the measure of one of the 8 angles, you can find the measure of all of the others. Try it. The measure of <1 = 120 degrees

Answers

Answer:

[tex]\angle 2 =60[/tex]

[tex]\angle 3 = 60[/tex]

[tex]\angle 4 = 120[/tex]

[tex]\angle 5 = 120[/tex]

[tex]\angle 6 = 60[/tex]

[tex]\angle 7 = 60[/tex]

[tex]\angle 8 = 120[/tex]

Step-by-step explanation:

Given

[tex]\angle 1 = 120^\circ[/tex]

See attachment

Required

Determine the other angles

[tex]\angle 1[/tex] and [tex]\angle 2[/tex] are on a straight line.

So;

[tex]\angle 1 + \angle 2 =180[/tex]

Make [tex]\angle 2[/tex] the subject

[tex]\angle 2 =180 - \angle 1[/tex]

[tex]\angle 2 =180 - 120[/tex]

[tex]\angle 2 =60[/tex]

[tex]\angle 1[/tex] , [tex]\angle 4[/tex],  [tex]\angle 5[/tex] and [tex]\angle 8[/tex] are corresponding angles.

So;

[tex]\angle 4 =\angle 1 = 120[/tex]

[tex]\angle 5 =\angle 1 = 120[/tex]

[tex]\angle 8 =\angle 1 = 120[/tex]

Similarly; [tex]\angle 2[/tex] , [tex]\angle 3[/tex],  [tex]\angle 6[/tex] and [tex]\angle 7[/tex] are corresponding angles.

So;

[tex]\angle 3 =\angle 2 = 60[/tex]

[tex]\angle 6 =\angle 2 = 60[/tex]

[tex]\angle 7 =\angle 2 = 60[/tex]

I really need help.... i am doing k12 online and i have SO much overdue and i need help, I MIGHT FAIL 6th GRADE!! i know thats not ur problem but i really need help I will mark brainliest if it lets me.

Answers

Answer:

Table 1(red)

Step-by-step explanation:

A proportional relationship will have a constant of proportionality between y and x all through the data given.

Constant of proportionality, k = y/x

Table 1 (red):

y/x = 5/1 = 10/2 = 20/4 = 5

k = 5 all through, therefore, this table show a proportional relationship between x and y

Table 2 (blue):

y/x = 1/6 ≠2/9 ≠ 4/15

This doesn't have a constant of proportionality, k, that is the same all through in the given table of values. Therefore, it doesn't show any proportional relationship between x and y

PLEASE HELP ME WITH QUESTIONS 1 AND 2! NO LINKS OR SPAMS!!! THANKS!!!!!!!!!​

Answers

Confused lol... can u give me more information

(PLEASE HELP)
Which value of x makes this equation true
-90=-100+x

Answers

Answer:

-0.9

Step-by-step explanation:

-0.9 × 100 = -90

answer : -90 = -100+x → x = 10

explanation : to solve for x, you are simplifying both sides of the equation, then isolating the variable.

step 1 : move the variable to the left-hand side and change its sign.

ex : -90-x = -100

step 2 : move the constant to the right-hand side and change its sign.

ex : -x = -100+90

step 3 : calculate the sum

ex : -x = -10

step 4 : change the signs on both sides of the equation

ex : x = 10

solution : x=10

hope this helps !

- audrey ♡

If you place a 32-foot ladder against the top of a building and the bottom of the
ladder is 24 feet from the bottom of the building, how tall is the building? Round to
the nearest tenth of a foot.
Please respond ASAP

Answers

Answer:21.2

Step-by-step explanation:

delta math

A 14-foot ladder is leaned against a wall. If the base of the ladder is 6 feet from the wall, how high up the wall will the ladder reach?

Round to the nearest tenth if needed.

Answers

Answer:

23

Step-by-step explanation:

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