Suppose the true proportion of high school juniors who skateboard is 0.18. If many random samples of 250 high school juniors are taken, by how much would their sample proportions typically vary from the true proportion?


0

0.0006

0.024

0.148

6.07

Answers

Answer 1

Answer:

0.024

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Suppose the true proportion of high school juniors who skateboard is 0.18.

This means that [tex]p = 0.18[/tex]

Samples of 250 high school juniors are taken

This means that [tex]n = 250[/tex]

By how much would their sample proportions typically vary from the true proportion?

This is the standard error, so:

[tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

[tex]s = \sqrt{\frac{0.18*0.82}{250}}[/tex]

[tex]s = 0.024[/tex]

So 0.024 is the answer.


Related Questions

Suppose 1757 grams of sugar is 31.69% of 5544 grams of jam. How much jam would there be if there were 2500 grams of sugar?

Answers

7889 grams of jam

Step-by-step explanation:

In 5544 grams of jam, 1757 grams of sugar ==> 31.69%

let x be the grams of jam

2500 grams of sugar ==> 31.69%

x grams of jam ==> 100%

[tex]x \times 31.69\% = 2500 \\ x = 2500 \div 31.69\% \\ x = 7888.92 \: grams \\ x = 7889 \: grams \: (nearest \: whole \: number)[/tex]

Using f(x) = 8x + 5 and g(x) = 7x - 2, find:f(g(4))

Answers

Answer:

f(g(4)) = 213

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction NotationComposite Functions

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 8x + 5

g(x) = 7x - 2

Step 2: Find f(g(4))

Substitute in x [Function g(x)]:                                                                         g(4) = 7(4) - 2Multiply:                                                                                                             g(4) = 28 - 2Subtract:                                                                                                            g(4) = 26Substitute in function value [Function f(x)]:                                                      f(g(4)) = 8(26) + 5Multiply:                                                                                                              f(g(4)) = 208 + 5Add:                                                                                                                   f(g(4)) = 213

[tex]\huge \qquad \boxed{\underline{\underbrace{\mathcal\color{gold}{Answer}}}}[/tex]

Here,

f(x) = 8x + 5 and g(x) = 7x - 2,

we have to find the f(g(4))

1st we have to solve the g(x)

g(x)=7x-2g(4)=7(4)-2g(4)=28-2g(4)=26

Now substitute the functional value,

f(g(x))=8x+5f(g(4))=8(26)+5f(g(4))=208+5f(g(4))=213

.°. The value of f(g(4)) is 213.

22 - 8x = -5x - 14
Find x
Please help this is due today

Answers

The answer is x=12 I hope I helped


through: (4,4), slope
9/4

Answers

Answer:

y - 4 = (9/4)(x - 4)

Step-by-step explanation:

Here we're given the slope (9/4) of a line and one point (4, 4) on the line.  The easiest form of the equation of a straight line to use here is the point-slope form:

y - k = m(x - h).

Here h = 4 and k = 4; the slope is m = 9/4.

Thus, the desired equation is

y - 4 = (9/4)(x - 4)

helppppppp


Which equation represents the slope-intercept form of the line below? 5 y-intercept = (0,2) slope = HOME O A. y=2x+ 3 o B. y=-x-2 3 O C. y = 2x - 3 O D. y=-3x+2​

Answers

Answer:

D. y = -3/7 + 2

Step-by-step explanation:

Slope intercept form: y = mx + b

m = slope

b = intercept

In a community of 9,400 people the number of women exceeds the number of men by 1,500.Find the ratio of men to women in the community

Answers

Answer:

Step-by-step explanation:

x +(x+1500) = 9400

2x + 1500 = 9400

2x = 7900

x=3950 (men)

y = 5450 (woman)

5450 :3950

109:79

-6d - 4e + 4 + 4d + 6e - 6

Answers

Answer:

-2d + 2e - 2

Step-by-step explanation:

Combine like terms. Like terms are terms with the same variable as well as same amount of said variables. Set the expression:

4d - 6d + 6e - 4e + 4 - 6

(4d - 6d) = -2d

(6e - 4e) = 2e

(4 - 6) = -2

-2d + 2e - 2 is your answer.

~

Rearrange the question:

-6d+4d-4e+6e+4-6

Solve the equation:
The answer

=-2d+2e-2

Algebra
write down the coefficient of x in 3(x)4x
A 12
B 3
C 0


by Emmanuel okorie​

Answers

Answer:

nah its a.

Step-by-step explanation:

bakit?(#boyinthebrainly)

Brainly to whomever solves for x and y. Will report scams and the unhelpful "what" answers!

Answers

Answer:

[tex]x=\frac{125}{6},\\y=11[/tex]

Step-by-step explanation:

The angles marked [tex]7x-15[/tex] and [tex]5x-5y[/tex] are co-interior angles. Since all co-interior angles are supplementary (add up to 180 degrees), we have the following equation:

[tex]7x-15+5x-5y=180[/tex]

The two angles marked [tex]4x+4y[/tex] and [tex]2x+y[/tex] are also co-interior angles, thus must also add to 180 degrees.

Therefore, we have the following system of equations:

[tex]\begin{cases}7x-15+5x-5y=180,\\4x+4y+2x+y=180\end{cases}[/tex]

Combine like terms:

[tex]\begin{cases}12x-5y-15=180,\\6x+5y=180\end{cases}[/tex]

Divide the first equation by -2 and add both equations to get rid of [tex]x[/tex]:

[tex]\begin{cases}-6x+2.5y=-97.5,\\6x+5y=180\end{cases},\\-6x+6x+2.5y+5y=82.5,\\7.5=82.5,\\y=\boxed{11}[/tex]

Now substitute [tex]y=11[/tex] into any equation with [tex]x[/tex]:

[tex]6x+5y=180,\\6x+5(11)=180,\\6x+55=180,\\6x=125,\\x=\boxed{\frac{125}{6}}[/tex]

Verify that these two solutions work:

[tex](7(\frac{125}{6})-15)+(5(\frac{125}{6})-5(11))=180\:\checkmark,\\\\(4(\frac{125}{6})+4(11))+(2(\frac{125}{6})+11)=180\:\checkmark[/tex]

The base of a triangle is 20m and its area is 250m.What is the height of the triangle

Answers

Answer:

the height of the triangle is 25

Answer:

height = 25 m

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here A = 250 and b = 20 , then

[tex]\frac{1}{2}[/tex] × 20 × h = 250 , that is

10h = 250 ( divide both sides by 10 )

h = 25 m

Jed works for Metal Fabricators, Inc. Which just lost a large contract and has asked employees to take a 12 percent pay cut. If Jed now makes $34,500 per year, what will his yearly pay be after the pay cut?

Answers

Answer: [tex]\$30,360[/tex]

Step-by-step explanation:

Given

Jed makes [tex]\$34,500[/tex] per year

After the loss of contract, a paycut of 12% is there

The amount after the paycut is

[tex]\Rightarrow 34,500(1-0.12)\\\Rightarrow 34,500\times 0.88\\\Rightarrow \$30,360[/tex]

which of the following choices lists the correct values of a,h, and k for the function f(x)=5x^2

Answers

Answer:

For a general quadratic equation like:

y = a*x^2 + b*x + c

a is the leading coefficient.

And we define the vertex of this as (h, k)

Where h is:

h = -b/(2*a)

and k is the y-value given when we use x = h.

Now, in this case we have:

f(x) = 5*x^2

We can see that the leading coefficient is 5, then a = 5.

To find the value of h we use:

h = -b/(2*a)

there is no lineal term, thus b = 0, then:

h = -0/(2*5) = -0/10 = 0

and k is given by

f(h) = f(0) = 5*0^2 = 0

then k = 0.

Concluding:

a = 5

h = 0

k = 0

Which equation represents the graphed function?

Answers

Y- -2x+3. For sure. Ok

Answer:

y=-2x+3

Step-by-step explanation:

for one, you can see that the y-intercept is at 3, so for y=m*x+b, b is 3

next, you can count to get the slope. it moves 2 units down and one unit to the left, so for slope, which is rise over run, you are -2/1= -2

so y = -2x + 3


Helpppppppppppppppp

Answers

I think last one is correct

Y=1/3x+2 Is this a linear equation or nonlinear

Answers

Answer:

C

Step-by-step explanation:

i took the test

How is it written? The top or the bottom?


Assignment - 3. Deductive Reasoning

State a true conclusion.
1) If two planes intersect, their intersection is a line.
2) Plane Rand plane S intersect.
Conclusion:
WRITER

Answers

Answer:

the answer is the intersection is a line

Solve for x
2x+16 X+16

Answers

Answer:

2x(16)+16(16)

32x+256

32x/32=256/32

x=8

JL = x+16

JK+KL = x+16

2x+16+7 = x+16

2x+23 = x+16

2x-x = 16-23

x = 7

find the outer perimeter of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate π.​

Answers

Answer:

19.42 ft.

Step-by-step explanation:

The diameter of the semicircle is 6, so 3.14 x 6 = 18.84. Since it is a semicircle, we divide that by 2 to get 9.42.

The hypotenuse of the right triangles only matter for the perimeter. 5 + 5 = 10, and 9.42 + 10 = 19.42 ft.

The outer perimeter is 19.42 ft.

What is perimeter?

Perimeter is the distance around the edge of a shape.

Given:

radius= 3 ft

height= 4 ft

slant height= 5 ft

diameter of the semicircle is 6 feet.

So,

= 3.14 x 6 = 18.84.

Since it is a semicircle,

=18.84/2

=9.42 feet

Now, the perimeter.

= 5 + 5 +9.42

= 19.42 ft.

Hence, the perimeter is 19.42 feet.

Learn more about perimeter here:

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Dave collects model trains. So far he has 23 distinct train cars. How many ways can he put 7 cars together? = Answer 23 PAnswer 7 =23!(23−7)! =23!16! = Answer 23 ⋅ Answer 22 ⋅21⋅20⋅19⋅18⋅ Answer 17 = Answer

Answers

Answer:

He can put 7 cars together in 245,157 ways.

Step-by-step explanation:

The order in which the cars are put together is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

23 distinct train cars. How many ways can he put 7 cars together?

Combinations of 7 from a set of 23. So

[tex]C_{23,7} = \frac{23!}{7!(23-7)!} = \frac{23!}{7!16!} = 245157[/tex]

He can put 7 cars together in 245,157 ways.

118°
D
B
angle C= ?
can anybody help pls?

Answers

Answer:

∡ c = 118°

Step-by-step explanation:

angle c is 118 degree (being vertically opposite angle)

∡ c = 118°

Answer:

118

Step-by-step explanation:

there is a property that i can't remember the name of that is dealing with angles across a flat line.

another way, is that 118+D=180, so D is 62

so that means D + C = 180, where D is 62 so C must be 118

expression of three power of five rational number with a negative exponent is?
answer with step by step explanation​

Answers

Answer:

[tex]\frac{1}{243}\\[/tex]

Step-by-step explanation:

The expression of three power of five rational number with a negative exponent is;

what’s 818*426 (multiplication)

Answers

Answer:

348468

Step-by-step explanation:

Answer:

348,468

Step-by-step explanation:

Hope it's help you !!!!:)

Marlon withdrew $25 from his savings account every week for 5 weeks. Which expression is the best choice to help him determine the total amount of money he withdrew?

Answers

the expression that si the best choice to help him determine the total amount of money he withdrew was: x=25*5

Please help I’ll give brainliest

Answers

Answer:

6 ^ 6

Step-by-step explanation:

hope this helps!

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: C. \:{6}^{5} }}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] {6}^{2} \times {6}^{3} [/tex]

➺[tex] \: {6}^{2 + 3} [/tex]

➺[tex] \: {6}^{5} [/tex]

Note:-

[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♬}}}}}[/tex]

x−115=223
Please help

Answers

Answer:

338

Step-by-step explanation:

X - 115  = 223

Add 115 to both the sides

X - 115 + 115 = 223 + 115

x = 338

Answer:

338

Step-by-step explanation:

x - 115 =223

Collect terms

x = 223 + 115

x = 338

Hope this helps you!

pls mark as brainlest ans

Bye!

What is the perimeter of the figure shown to the right.
Plss HELP MEE

Answers

Answer:

perimeter=a+b+c+d+e+f+g+h+I

x+13+3x+2+x+5+2+8+3x

CLT

x+x+3x+3x+13+2+5+2+8

8x+30

f(x) = x2. What is g(x)?
5
[ f(x)
g(x)
(3,3)
X
-5
5
x2
O A. g(x)=1
-02-G
B.
X
O c. g(x) = 3²
O D. g(x)=-* x2
Please help :/

Answers

The function g(x) = x²/3

Given that graph of the function f(x) = x²,

Since, the graph of f(x) is transformed to form the g(x).

We see that g(x) is passing by (3, 3)

Here, the scale factor is 1/3,

So, we can say that the equation of the function g(x) is g(x) = x²/3

Therefore, the required function is g(x) = x²/3

Learn more about function click;

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The locksmith is 82.9 miles west of the bakery. The pet store is 44.5 miles west of the bakery. The toy store is 38.6 miles east of the bakery. The coffee shop is 71.5 miles east of the bakery. The library is 57.0 miles south of the bakery. The magic shop is 75.7 miles south of the bakery. How far apart are the toy store and the locksmith?

Answers

Answer:

82.9+38.6=121.5 miles far away.

WILL MARK BRANLIEST
When describing a rotation, what
information must you include?

Answers

Answer:

The point you are rotating at (also called the centre of rotation)

The angle of rotation (usually in degrees but I don't know your school)

Direction of the turn

Step-by-step explanation:

can someone please help for brainlest

Answers

87.6 square inches
Find the area of each face and add them all up together:
Area of triangular base- 1/2 • 6 • 5.2 = 15.6 in2
Area of 1 triangle side face:1/2 • 8 • 6 = 24 in2
Multiply 24 by 3 (bcos there are 3 triangular lateral faces) 24 • 3= 72

Add area of base and arae of all lateral faces:
72 + 15.6 = 87.6

SURFACE AREA: 87.6 square inches

Com.ment me if u have any questions!
If my answer was correct, brainliest please!
- SpaceMarsh
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