We wish to estimate what percent of adult residents in a certain county are parents. Out of 100 adult residents sampled, 8 had kids. Based on this, construct a 99% confidence interval for the proportion p of adult residents who are parents in this county. Express your answer in tri-inequality form. Give your answers as decimals, to three places.

Answers

Answer 1

Answer:

0.0101 < p < 0.1499

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 zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Out of 100 adult residents sampled, 8 had kids. Based on this, construct a 99%.

This means that [tex]n = 100, \pi = \frac{8}{100} = 0.08[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.08 - 2.575\sqrt{\frac{0.08*0.92}{100}} = 0.0101[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.08 + 2.575\sqrt{\frac{0.08*0.92}{100}} = 0.1499[/tex]

Express your answer in tri-inequality form.

0.0101 < p < 0.1499


Related Questions

The Marching Band ordered 14 pizzas for a party. Each pizza had 6 slices. Juan ate 7 of the slices. How many slices were left for the rest of the band?

Answers

Answer:

77 slices

Step-by-step explanation:

Given

[tex]Pizza=14[/tex]

[tex]Slice = 6[/tex] per pizza

[tex]Juan = 7\ slices[/tex]

Required

Determine the slices left

First, calculate the slices in 14 pizzas.

[tex]Total = 14 * 6[/tex]

[tex]Total = 84[/tex]

Subtract the amount eaten by Juan, to get the remaining.

[tex]Remaining = Total - Juan[/tex]

[tex]Remaining = 84 - 7[/tex]

[tex]Remaining = 77[/tex]

Can anyone help me it would mean the world to me if u helped and tysm! <3 to the people to helped me! <3

Answers

Answer:

The area is 266

Step-by-step explanation:

If the length is 19 and the width is 5 less then the width is 14. To calculate the area you need to multiply the area by the length. So the answer is 266

Formalizing Relations and Functions

Identify the dependent and independent variable in y = 12x - 30.

A: Dependent variable: y and Independent variable: x
B: Dependent variable: x and Independent variable: y
C: Dependent variable: x and Independent variable: x
D: Dependent variable: y and Independent variable: y


Explain how you got this step by step. a lot of you like to give false answers just for points but I really need help understanding this. Please don't answer if you arent sure Any attempt is appreciated.

Answers

Answer:

x is independent

y is dependent

Step-by-step explanation:

as we can change the value as we want for x

but y is dependent on the value of x. It changes as we change the value of x

the area of the base is 34 cm2 the height is 7cm what is the volume

Answers

Answer:

[tex]238cm^3[/tex]

Step-by-step explanation:

The equation for volume is length x width x height

The equation for area is length x width

Since the area of the base is known, we can substitute that into the volume equation

base x height

34 x 7 = 238 cm^3

The answer is 238 cm

Use elimination to solve the following system of
equations: 17x - 2y = 25
17x + 3y = 5

Answers

Step-by-step explanation:

[tex]17x - 2y = 25[/tex]

[tex]17x + 3y = 5[/tex]

Both equations have a [tex]17x[/tex] term in them, so if we subtract the second equation from the first, it will eliminate those terms, allowing us to solve for the remaining [tex]y[/tex] terms:

[tex](17x - 2y) - (17x + 3y) = 25 - 5[/tex]

[tex](17x - 17x) + (-2y - 3y) = 20[/tex]

[tex]-5y = 20[/tex]

[tex]y = -4[/tex]

Finally, we can plug this value for [tex]y[/tex] into either of the two original equations to solve for [tex]x[/tex]:

[tex]17x - 2(-4) = 25[/tex]

[tex]17x + 8 = 25[/tex]

[tex]17x = 17[/tex]

[tex]x = 1[/tex]

This means the solution to the system of equations is [tex](1, -4)[/tex].

A box has a length of 6 centimeters, a width of 4 centimeters, and a height of 5
centimeters. Jen filled the bottom layer of the box with 24 cubes. What is the
volume of the box?

Answers

Answer:

120 centimeters cubed

Step-by-step explanation:

You don't even need to know the last part. multiply length x width x height=volume (6x4x5) to get 120. the volume is 120 centimeters cubed :)

O
For a car moving at a constant speed, the distance traveled varies directly with the time spent driving. If such a car travels 390 miles in 6 hours, how many
miles does it travel in 5 hours?

Answers

Answer:

325 miles

Step-by-step explanation:

Given that,

A car travels 390 miles in 6 hours.

We need to find the distance travelled in 5 hours.

6 hours = 390 miles

1 hour = 65 miles

In 5 hours,

5 hours = (65×5) miles

= 325 miles

So, it will travel 325 miles in 5 hours.

PLEASE HELP
!!NO LINKS!!
!! ANSWERS ONLY!!

Answers

Answer:

Step-by-step explanation:

because you know that the exponent is 20 and that is  n*t...  and you can see that n= 2  in the equation

you know it's been collecting interest for 10 years  

Help please, again, sorry I’m struggling

Answers

Answer:

7 feet

Step-by-step explanation:

Answer:

A. 4ft

Step-by-step explanation:

It would be four feet because since the opening is 3ft and the length is 5ft, it would be 4ft because the length is going to be close to the height which would also be the same with the opening. The opening is always a little shorter than the top of the tent meaning this would be 4ft.

Complete the set of data with value so that the mean of the data is 24?

26, 35, 10, 18, 15, 37, 25, 20, 15, ?

Answers

Answer:

Step-by-step explanation:

Lala

Skskskskdkdkd0222222

2. 5 Question A painter is placing a ladder to reach the third story window, which is 40 feet above the ground and makes an angle with the ground of 80°. How far out from the building does the base of the ladder need to be positioned? Round your answer to the nearest tenth. The base of the ladder needs to be positioned feet out from the building.​

Answers

Answer:

Hi how are you doing today Jasmine

3ewhgaxjbhnkm4rewbs nkm11 what's 1+ 10 ?

Answers

Answer:

its 11

Step-by-step explanation:

1+ 10= 11 just add 1 hope it helps.

Answer:

11

Step-by-step explanation:

lol 1+10=11

I had to process the question for a few sec for some reason.

Suppose a test has six multiple-choice questions with four options and eight true/false questions. If a person responds to all questions, in how many ways can the 14 questions be answered?

Answers

Answer:

1,360

Step-by-step explanation:

Ok, so for the first 6 questions, if each one can be answered 4 different times, that would mean that it would be 6 to the 4th power (or 6 x 6 x 6 x 6)

That would be 1296.

Then, we have the other 8 questions, that can be answered 2 different ways. That would be represented as 8 to the second power (or 8 x 8)

That would be 64.

Now, we have to add the two numbers together to get the total. 1296+64 = 1,360

That's how you get the answer! I hope this is correct!

Which function is graphed? y = –2cos(x) – 4 y = 2cos(x) – 4 y = –2cos(x) + 4 y = 2cos(x) + 4

Answers

Step-by-step explanation:

A2928288288282828282

Answer:

C.   y = –2cos(x) + 4

Step-by-step explanation:

Correct on edge 2021!

Express the function graphed on the axes below as a piecewise function.

Answers

there is nothing below can u like it ill answer ut

1. Complete the empty cells in the table below with the correct values. sin theta= sqrt 2/2

Answers

Using trigonometric function concepts, it is found that:

The angle is of 45 degrees, or [tex]\frac{\pi}{4}[/tex] radians.[tex]\cos{\theta} = \frac{\sqrt{2}}{2}[/tex][tex]\csc{\theta} = \sqrt{2}[/tex][tex]\sec{\theta} = \sqrt{2}[/tex][tex]\cot{\theta} = 1[/tex]

From the sine, we have that:

[tex]\sin{\theta} = \frac{\sqrt{2}}{2}[/tex]

Then:

[tex]\sin^{-1}{\sin{\theta}} = \sin^{-1}{\frac{\sqrt{2}}{2}}[/tex]

[tex]\theta = \frac{\pi}{4}[/tex]

Since pi radians is 180º, this angle is of 180/4 = 45 degrees.

From the tangent:

[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]

[tex]1 = \frac{\frac{\sqrt{2}}{2}}{\cos{\theta}}[/tex]

[tex]\cos{\theta} = \frac{\sqrt{2}}{2}[/tex]

[tex]\cot{\theta} = \frac{1}{\tan{\theta}}[/tex]

[tex]\cot{\theta} = 1[/tex]

For the cosecant and secant:

[tex]\csc{\theta} = \frac{1}{\sin{\theta}} = \frac{1}{\frac{\sqrt{2}}{2}} = \frac{2}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = \sqrt{2}[/tex]

[tex]\sec{\theta} = \frac{1}{\cos{\theta}} = \frac{1}{\frac{\sqrt{2}}{2}} = \frac{2}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = \sqrt{2}[/tex]

[tex]\csc{\theta} = \sqrt{2}[/tex]

[tex]\sec{\theta} = \sqrt{2}[/tex]

To learn more about trigonometric functions, you can take a look at https://brainly.com/question/18055768

What is the mid point of the segment shown below (1,2) (1,-5)

Answers

Answer:

(1, -3/2)

Step-by-step explanation:

Answer:

(1, -3/2)

Step-by-step explanation:

[1 + 1)/2, 2 + (-5)/2] = (2/2), (-3/2)

George used a Venn diagram to sort shapes. Which shape belongs in both categories?

Plz help !!

Answers

Answer:

Square

Step-by-step explanation:

Can someone find the answer

Answers

Answer:

x = 0

Step-by-step explanation:

At x = 0, the average rate of change of the function is 7 which is smallest

Aminah bought a book for $8. She increased the price by 20% and sold the books to James. James further increased the price of the book by 15% and sold to Khalid. Khalid gave james $15. How much change should James give to Khalid?​

Answers

Answer:

3.96

Step-by-step explanation:

Aminah increased the price of the book to [tex]8\cdot1.2=9.6[/tex]. James increased the price of the book to [tex]9.6\cdot1.15=11.04[/tex]. So James needs to give [tex]15-11.04=3.96[/tex] to Khalid.

Answer:

Please refer to the attachment

write these in order of size starting
with smallest in
7m 750 cm 0.7m 77cm​

Answers

Answer:

it's 0.7m, 77cm , 7m , 750 cm . hope I helped you .

BRAINLIEST FOR THE ANSWER

Answers

Answer:

A

Step-by-step explanation:

14/8-11/8=3/8

Answer:

a

Step-by-step explanation:

1 3/4 =1 6/8 so 3/8 plus 3/8 is 6/8

need answer asap, correct answer gets brainliest.

Answers

Answer:

(x+3,y+4)

Step-by-step explanation:

mskdidikffjcycufbr

How many unique roots are possible in a seventh-degree polynomial
function?
O A. 7
OB. 4
O C. 6
O D.5

Answers

Answer:

A. 7

Step-by-step explanation:

No.of unique roots are possible in a seventh-degree polynomial is 7

State fundamental theorem of AlgebraA polynomial of degree n can have at most n real roots. The Degree of Polynomial with one variable is largest power of that variable.For example, 3x^2+4x+2 = 0 have two roots since the equation degree 2.A real number p is a zero of a polynomial f(x),

f(p) = 0.

Since seventh degree polynomial has degree 7, number of roots in a seventh-degree polynomial is 7.

Therefore, the number of unique roots are possible in a seventh-degree polynomial is 7.

Learn more about fundamental theorem of Algebra here:

https://brainly.com/question/1967548

#SPJ2

The residents of a city voted on whether to raise property taxes. The ratio of yes votes 3 to no votes was 5 to . If there were 2247 yes votes, what was the total number of votes?

Answers

Answer:

Total number of votes = 5,992

Step-by-step explanation:

Given:

Ratio of Yes and No = 3:5

Total number of yes votes = 2,247

Find:

Total number of votes

Computation:

Total number of votes = Total number of yes votes [(3+5)/3]

Total number of votes = 2,247[(8)/3]

Total number of votes = 5,992

Brainliest for answer

Answers

Answer:

2 inches per hour

Step-by-step explanation:

the water is going down by 10 inches every 5 hours. 10/5 is 2.

I need help the area of the triangle is 24 square feet. Hat is the lengths of the base

Answers

Answer:

The answer is B the base is 16 feet

to find the base of a triangle the formula is b=2[tex]\frac{A\\}{h}[/tex]

hope this helps

HURRYYYYYYYYY


What is the domain of the function y=x?
-00 0 0 0 1

Answers

Answer:

All real numbers

Step-by-step explanation:

The domain of the function is the set of real values that can be substituted into a function to produce a valid output. Any real number can be substituted into the function (y = x), and produce a valid output. Thus, the domain is all real numbers.

Use the diagram to find the measure of the given angle.

Answers

Answer:

50

Step-by-step explanation:

Given the following information: P(A) = 0.62 P(B) = 0.25 P(A and B) = 0.12 P(B given A) = 0.19 What is the probability of A or B? Round your answer to the nearest hundredth as needed. P(A or B) =

Answers

Answer:

P(A or B) = 0.75

Step-by-step explanation:

For Venn probabilities, we have that:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

In which [tex]P(A \cup B)[/tex] is P(A or B).

We have that:

[tex]P(A) = 0.62, P(B) = 0.25, P(A \cap B) = 0.12[/tex]

So

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.62 + 0.25 - 0.12 = 0.75[/tex]

P(A or B) = 0.75

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