A simple random sample of 49 8th graders at a large suburban middle school indicated that 88% of them are involved with some type of after school activity. Find the margin of error associated with a 90% confidence interval that estimates the proportion of them that are involved in an after school activity.

Answers

Answer 1

Answer:

The margin of error associated with a 90% confidence interval that estimates the proportion of them that are involved in an after school activity is 0.0764.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

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

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

A simple random sample of 49 8th graders at a large suburban middle school indicated that 88% of them are involved with some type of after school activity.

This means that [tex]n = 49, \pi = 0.88[/tex]

Margin of error:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 1.645\sqrt{\frac{0.88*0.12}{49}}[/tex]

[tex]M = 0.0764[/tex]

The margin of error associated with a 90% confidence interval that estimates the proportion of them that are involved in an after school activity is 0.0764.


Related Questions

Which of the following is true?
(A)The baby is male/female is determined by mother’s chromosome.
(B) The baby is male/female is determined by father’s chromosome.
(C) Pair of Mother’s chromosome is X-Y .
(D) Pair of Father’s chromosome is X-X .

Answers

Answer:

(B) The baby is male/female is determined by father’s chromosome.

Step-by-step explanation:

Men determine the sex of a baby depending on whether their sperm is carrying an X or Y chromosome.

Answer:

hi i hope it helps you

Step-by-step explanation:

please mark brainlist and like

thanks

and have a nice day.

Anyone know the answer?? Help pls!

Answers

Answer:

A

Step-by-step explanation:

The answer would be "The point where three medians of triangle intersect.

Please mark me as brainliest

Answer: A

Step-by-step explanation:

What rays are part of line BE?

Answers

Answer:

B. ray AB and ray AE

Step-by-step explanation:

Line BE is connected at three points, B, A, and E.

The rays that are part of line BE as shown in the diagram run across these three points. Thus, ray AB connects to Ray AE at point A, to form line BE.

Ray AB and ray AE are therefore parts of line BE.

Please hurry I will mark you brainliest

What is the equation of the line with a slope of -3 and a y-intercept of 4?

Answers

Answer:

y = -3x+4

Step-by-step explanation:

The slope intercept form of an equation is

y = mx+b where m is the slope and b is the y intercept

y = -3x+4

The millage rate is the amount of property tax per $1000 of the taxable value of a home. For a certain county the millage rate is 29 mil. A city within the county also imposes a flat fee of $101 per home. a. Write a function representing the total amount of property tax T(x) for a home with a taxable value of x thousand dollars. b. Write an equation for T-1(x). c. What does the inverse function represent in the context of this problem

Answers

Answer:

(a) [tex]T(x) = 101 + 0.029 x[/tex]

(b) [tex]T^{-1}(x) = \frac{1000(x - 101)}{29}[/tex]

(c) See explanation

Step-by-step explanation:

[tex]T(x) = 172 + \frac{29}{1000}x[/tex]

Given

[tex]Flat = 101[/tex]

[tex]Rate = 29\ per\ 1000[/tex]

Solving (a): The function for total amount

This is calculated as:

[tex]T(x) = Flat + Rate * x[/tex]

Where:

[tex]x \to[/tex] taxable value

So, we have:

[tex]T(x) = 101 + \frac{29}{1000} * x[/tex]

[tex]T(x) = 101 + 0.029 * x[/tex]

[tex]T(x) = 101 + 0.029 x[/tex]

Solving (b): The inverse function

[tex]T(x) = 101 + 0.029 x[/tex]

Rewrite as:

[tex]y = 101 + 0.029x[/tex]

Swap the variables

[tex]x = 101 + 0.029y[/tex]

Make y the subject

[tex]0.029y = x - 101[/tex]

Divide by 0.029

[tex]y = \frac{x - 101}{0.029}[/tex]

Multiply  by 1000/1000

[tex]y = \frac{1000(x - 101)}{29}[/tex]

Replace y with the inverse function

[tex]T^{-1}(x) = \frac{1000(x - 101)}{29}[/tex]

Solving (c): Interpret (b)

The inverse function, in this case; is the taxable value calculated from the amount of property tax

1. two year ago the population of a place was 20,000.during this period 625 people migrated in that place. IF the population growth rate is 5 % . find the present population​

Answers

Answer:

20000×625

5 100

=200×125

1

=25000

Answer:

The present population of the place is 22,675 people.

Hope it helps you pls give a follow.

What is the measure of angle x? Please help asap! Khan academy question!

Answers

Answer:

38°

Step-by-step explanation:

90-58

I'm unsure if that's right but i think it is. otherwise 180-58 but angle x should be the rest of the angle in KAI

Answer:

[tex]\boxed{\boxed{\tt \angle x=32^{\circ}}}[/tex]

Step-by-step explanation:

From the diagram given, we know that ∠BAC and ∠IAK are vertical angles.

*Vertical angles are two lines that intersect each other.*

So ∠BAC is equal to ∠IAK.

[tex]\tt \overline{KL} \perp \overline{FG}[/tex] so, ∠ABC =90°

(Interior angles in a triangle always add up to 180°).

[tex]\tt \angle BAC+\angle ABC+\angle BCA=180^{\circ}[/tex]

[tex]\tt 58+90+\angle BCA=180^{\circ}[/tex]

[tex]\tt \angle BCA=32^{\circ}[/tex]

∠BCA and ∠x are vertical angles, therefore they are congruent.

∠BCA and ∠x= 32°

______________________________________

Find square root of 0.0324

Answers

Answer:

0.18

Step-by-step explanation:

can someone help me with this ? please and thank you

Answers

Answer:

(a), (c) and (d)

Step-by-step explanation:

Required

Which is linear

A linear function is represented as any of:

[tex]y = mx + b[/tex]

[tex]y - y_1= m(x - x_1)[/tex]

[tex](a)\ 8x - 3y = 2[/tex]

Rewrite as:

[tex]- 3y = -8x+2[/tex]

Divide by -3

[tex]y = \frac{8}{3}x - \frac{2}{3}[/tex] -- by comparison to [tex]y = mx + b[/tex], this is linear

[tex](b)\ y = |x - 4|-7[/tex]

This is an absolute function. It is not linear

[tex](c)\ y + 8=5(x - 4)[/tex]

By comparison to [tex]y - y_1= m(x - x_1)[/tex], this is linear

[tex](d)\ y = -7[/tex]

by comparison to [tex]y = mx + b[/tex], this is linear because [tex]m= 0[/tex]

Others are not linear

What is the name for the marked angel ?

Answers

Answer:

A

Step-by-step explanation:

Answer:

The answer is <ead

please mark me brainliest

2X. (3x - 2y + 4z) con proceso porfavor, ayuda

Answers

[tex]\bf \large \rightarrow \: \: 2x \: ( \: 3x \: - \: 2y \: + \: 4z \: )[/tex]

[tex]\bf \large \rightarrow \: \:6 {x}^{2} \: - \: 6y \: + \: 8x z[/tex]

Espero que te sea de ayuda.

9.6 divided by 1.6
Please help me pls help with step by step on paper and send it to me pls ! Thank you

Answers

Answer:

6

Step-by-step explanation:

So since we are handling decimals we need to get rid of them in order to divide.

Now the numbers should be 96 and 16.

16 * 6 = 96 therefore 6 is the answer.

The required solution of 9.6 divided by 1.6 is 6.

Given that,
To determine 9.6 divided by 1.6

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
= 9.6 / 1.6
= 96 * 10 / 16 / 10
Factoring 36 in the numerator as 96 = 16 * 6
= 16 * 6 * 10 / 16 * 10
Now,
factors that are common between numerator and denominator will be eliminated,

= 6 / 1
= 6

Thus, the required solution of 9.6 divided by 1.6 is 6.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

PLEASE NEED HELP ASAP WILL MARK BRAINLIEST Question 2 of 10
Before radar and sonar, sailors would climb to the top of their ships to watch
for land or changes in weather. If the lookout at the top of the mast can see
an island five miles away, about how tall is the mast? Round your answer to
the nearest whole number if necessary. Use the formula for the relationship
between height (h) and visibility, how far you can see, (d):

O A. 30 feet
O B. 11 feet
O C. 36 feet
O D. 61 feet

Answers

Answer:

36

Step-by-step explanation:

Answer:

36 feet

Step-by-step explanation:

I can confirm that 36 feet is the correct answer. as seen below, I was able to get 100%

Find the value of x.

Answers

Answer:

6

Step-by-step explanation:

We can find the value x using Euclidian theorem

x^2 = 3*12

x^2 = 36

x = 6

A rectangle has a length (x+3)cm and a width (x-1)cm . Given that the rectangle is 24 cm^2. Find the value of x

Answers

Answer:

4.292

Step-by-step explanation:

(x+3)(x-1)=24

expand

x²+2x-3=24

x²+2x-27=0

Using the quadratic formula..

[tex]\frac{-2+\sqrt{2^2-4*1*-27}}{2}=\frac{-2+10.5830052443}{2}=4.292[/tex]

there is another answer, but it doesn't make sense in the context of this question

the un-rounded answer is 4.29150262215

order the set of irrational numbers from least to greatest

Answers

Answer:

answer is A

hope it helps please mark as brainliest answer and give me thanks

#Dhruv here

Please help out with this question..

Answers

Answer:

Step-by-step explanation:

C = 16 * 3 = 48

evaluate and solve: y + 3 = –y + 9

Answers

The value of y is 3.

Answer:

Solution given;

: y + 3 = –y + 9

add +y on both term

y+y+3=-y+y+9

subtract both side by 3

2y+3-3=9-3

2y=6

divide both side by 2

2y/2=6/2

y=3

Answer:

y = 3

Step-by-step explanation:

y + 3 = –y + 9

Add y to each side

y+y + 3 = –y +y+ 9

2y +3 = 9

Subtract 3 from each side

2y+3-3 = 9-3

2y = 6

Divide by 2

2y/2 = 6/2

y = 3

pls help its timed no fake answers i cant afford to fail

Answers

Answer:

It's B, I tried using mathaway and that's the closest to the answer I got. Try it. I always use mathaway for any math problems, use that for now on if you're stuck

Step-by-step explanation:


Match each equation with its solution.

Answers

Answer:

1. x = -2 , 3

2. x = - 1, 5

3. -1, 6/5

4. - 0/3, 1.3

Step-by-step explanation:

1.

[tex]ln(x+5)=ln(x-1)+ln(x+1)\\\\x+ 5 = (x-1)(x+1)\\\\x + 5 = x^2 - 1\\\\x^2 - x - 6 = 0 \\\\x^2 - 3 x + 2 x - 6 =0 \\\\x(x-3)+2(x-3)=0\\\\x = -2 and 3[/tex]

2.

[tex]e^{x^{2}}=e^{4x +5}\\\\x^2 - 4x - 5 = 0 \\\\x^2 - 5x + x - 5 = 0 \\\\x (x-5)+1 (x-5)=0\\\\x = -1 and 5[/tex]

3.

[tex]log_{4}(5x^2 +2)=log_{4}(x +8)\\\\5x^2 - x - 6 = 0 \\\\5 x^2 - 6 x + 5x- 6 = 0 \\\\5 x (x + 1)-6(x+1)=0\\\\x = -1 and \frac{6}{5}[/tex]

4.

[tex]log(x-1)+log 5x = 2\\\\5 x (x-1) =2 \\\\5x^2 - 5x -2 = 0 \\\\x = \frac{5\pm\sqrt{25+40}}{10}\\\\x = \frac{5\pm 8}{10}\\\\x = 1.3, - 0.3[/tex]

ds
Given the velocity v =
dt
and the initial position of a body moving along a coordinate line, find the body's position at time t.
v = 9.8t + 12, s(0) = 20

Answers

Answer:

so the answer is I don't know

A 24-ounce package of frozen peas costs $1.01. Give the unit price in cents per ounce. Round to the nearest tenth of a cent.

Answers

Answer:

4.2 cents

Step-by-step explanation:

Take the total cost and divide by the number of ounces

1.01 /24

0.04208

Round to the nearest tenth of a cent ( 3 decimal places)

0.042

4.2 cents

A company made a profit of $90,000 in the year 2006. In 2010, the same company made a total profit of $135,000. If the rate of change is a constant, what is the average rate of change of the company’s profit in dollars per year? HELP

Answers

Answer:

Average rate of change = $11250 per year.

Step-by-step explanation:

Let's take two points from given information (2006, 90000) and (2010, 135000).

Now, use slope formula to find slope.

Slope =[tex]\frac{y2-y1}{x2-x1}[/tex]

Use the two points to find average rate of change (slope)

Average rate of change =[tex]\frac{135000-90000}{2010-2006}[/tex]

                                        =[tex]\frac{45000}{4}[/tex]

                                       =11250

Average rate of change = $11250 per year.

The triangle below is isosceles. Find the length of side x in simplest radical form with
a rational denominator.
x
V10
21:32
Submit Answer
Answer: =
s
attempt 1 out of 2
CAN SOMEONE HELP ME PLS

Answers

Answer:

x=2*sqrt(5)

Step-by-step explanation:

Since the triangle is isosceles, the other side (not x) is sqrt(10). Using Pythagoras, we have 10+10=x^2, x=2*sqrt(5)

Write the equation for a parabola with a focus at (-3,-5)(−3,−5)left parenthesis, minus, 3, comma, minus, 5, right parenthesis and a directrix at x=-7x=−7x, equals, minus, 7.

Answers

Answer:

(y + 5)² = -16(x + 5)

Step-by-step explanation:

We are told the focus is at (-3, -5)

Directrix is at x = -7

This is a horizontal parabola and thus the general equation is;

(y - k)² = -4p(x - h)

Where;

(h, x) is the coordinate of the vertex.

The axis where the point where the axis of symmetry meets the directrix is at; (-7, -5) since directrix is at x = -7

Thus, coordinates of vertex is;

(-7 + (-3))/2, (-5 + (-5))/2

> (-5, -5)

Thus, equation is;

(y - (-5))² = -4p(x - (-5))

(y + 5)² = -4p(x + 5)

Where p is the distance from vertex to directrix. Thus;

p = -(-7 - (-3))

p = -(-7 + 3)

p = 4

Thus;

(y + 5)² = -4(4)(x + 5)

(y + 5)² = -16(x + 5)

Answer:

(y + 5)² = -16(x + 5)

Step-by-step explanation:


Find the missing side or angle.
Round to the nearest tenth.
b=3
a=9
c=11
C= ?

Answers

Answer:

C=125°

Step-by-step explanation:

Hi there!

To find angle C, we can use the cosine law:

[tex]cosC=\frac{a^2+b^2-c^2}{2ab}[/tex]

Plug in the given information

[tex]cosC=\frac{9^2+3^2-11^2}{2(9)(3)}[/tex]

[tex]cosC=\frac{-31}{54}[/tex]

[tex]C=cos^-^1(\frac{-31}{54})[/tex]

[tex]C=cos^-^1(\frac{-31}{54})\\C=125[/tex]

Therefore, angle C is approximately 125 degrees.

I hope this helps!

YOULL BE SO AWESOME IF YOU ANSWERRRRRR PLSSS

Answers

Answer:

It is the first option: The sum of 4 tens and 9 tens is 13 tens, which is regrouped as 1 hundred and 3 tens.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

just logic

I only need help with the top one

Answers

Answer:

[tex]x^{2} - 3x - 28[/tex]

Step-by-step explanation:

Step 1:  Foil out the expression

[tex](x + 4)(x - 7)[/tex]

[tex](x * x) + (x * -7) + (4 * x) + (4 * -7)[/tex]

[tex](x^{2}) + (-7x) + (4x) + (-28)[/tex]

[tex]x^{2} - 3x - 28[/tex]

Answer:  [tex]x^{2} - 3x - 28[/tex]

The answer to the top question is x²-3x-28

What is the value of x if e^3x+6 =8? Answer:

Answers

Answer:

[tex]\displaystyle x = \frac{ln2}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra II

Natural logarithms ln and Euler's number eLogarithmic Property [Exponential]:                                                                [tex]\displaystyle log(a^b) = b \cdot log(a)[/tex]Solving logarithmic equations

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle e^{3x} + 6 = 8[/tex]

Step 2: Solve for x

[Equality Property] Isolate x term:                                                                   [tex]\displaystyle e^{3x} = 2[/tex][Equality Property] ln both sides:                                                                    [tex]\displaystyle lne^{3x} = ln2[/tex]Rewrite [Logarithmic Property - Exponential]:                                                [tex]\displaystyle 3xlne = ln2[/tex]Simplify:                                                                                                             [tex]\displaystyle 3x = ln2[/tex][Equality Property] Isolate x:                                                                            [tex]\displaystyle x = \frac{ln2}{3}[/tex]

Answer:

x = 1/3 ln(2) or approximately 0.23104

Step-by-step explanation:

e^3x+6 =8

Subtract 6 from each side

e^3x+6-6 =8-6

e^3x =2

Take the natural log of each side

ln( e^3x) =ln(2)

3x = ln(2)

divide by 3

3x/3 = 1/3 ln(2)

x = 1/3 ln(2)

x is approximately 0.23104

Find the solution to the system of equation -x + y = 3 and x - 2y = 5.

Answers

Answer:

Step-by-step explanation:

[tex]\displaystyle\ \large \boldsymbol{} +\left \{ {{-x+y=3} \atop { \ \ x-2y=5}} \right. => \\\\\\x \!\!\!\!\diagup-x\!\!\!\!\diagup-2y+y=5+3\\\\-y=8\\\\ y=-8\ ; \ x=-11[/tex]

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