In a survey sample of 83 respondents, about 30.1 percent of the sample work less than 40 hours per week. Calculate a 68 percent confidence interval for the proportion of persons who work 40 hours or more per week.

Answers

Answer 1

Answer:

[tex]0.42 - 0.994\sqrt{\frac{0.699(1-0.699)}{83}}=0.370[/tex]

[tex]0.42 + 0.994\sqrt{\frac{0.699(1-0.699)}{83}}=0.470[/tex]

The 68% confidence interval would be given by (0.370;0.470)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

[tex]p \sim N(p,\sqrt{\frac{p(1-p)}{n}})[/tex]

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 68% of confidence, our significance level would be given by [tex]\alpha=1-0.68=0.32[/tex] and [tex]\alpha/2 =0.16[/tex]. And the critical value would be given by:

[tex]z_{\alpha/2}=-0.994, z_{1-\alpha/2}=0.994[/tex]

The proportion os persons who work 40 hours or more is 1-0.301= 0.699

The confidence interval for the mean is given by the following formula:  

[tex]\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]

If we replace the values obtained we got:

[tex]0.42 - 0.994\sqrt{\frac{0.699(1-0.699)}{83}}=0.370[/tex]

[tex]0.42 + 0.994\sqrt{\frac{0.699(1-0.699)}{83}}=0.470[/tex]

The 68% confidence interval would be given by (0.370;0.470)


Related Questions

Simplify -12x + 5x. answer

Answers

-12x + 5x

-7x

Hope this helps! ;)

Answer:

-7x

Step-by-step explanation:

If you add 5 to the -12, you get -7. All you have to do is put an x next to your answer.

which equation represents the graphed function?

Answers

Answer:

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

Step-by-step explanation:

You have not attached the graph.

Assuming the graph function is the one shown in the attachment.

The equation is given by

[tex] \frac{x}{a} + \frac{y}{b} = 1[/tex]

where a=1 is the x-intercept and b=-2 is the y-intercept.

We substitute to get:

[tex] \frac{x}{1} + \frac{y}{ - 2} = 1[/tex]

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

or

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


Before tax, and miscellaneous charges, Jason's cell phone bill is $100 per month plus $0.15 for every text message that he sends or receives. Which expression represents his cell phone bill for any given month?

A) 100 + 15t
B) 100 + 0.15t
C) 0.15 + 100t
D) 100t - 0.15

Answers

Answer:

b

Step-by-step explanation:

100 dollars  month

100

plus

100+

0.15 per text

100+15t

Describe the Interquartile Range of the data below.

11, 13, 16, 17, 8, 10, 14, 14, 17, 14




a. median: _____
b. Interquartile range: _____

Answers

Answer:

median 8, interquartile range 13

Step-by-step explanation:


There is a spinner with 9 equal areas, numbered 1 through 9. If the spinner is spun one time, what is the probability that the result is a multiple of 2 and a multiple of 3?

Answers

Answer:

.

Step-by-step explanation:

The probability that the result is a multiple of 2 and a multiple of 3 is 1/9.

What is a spinner?

A fidget spinner is a toy that consists of a ball bearing in the center of a multi-lobed flat structure made from metal or plastic designed to spin along its axis with pressure.

How to solve?

Here,

Multiples of 3(3,6)

Multiples of 2(2,4,6,8)

Intersection (6)

Favorable outcome: 1

Total outcome: 9

The probability: 1/9

Learn more about Spinner:

https://brainly.com/question/3903294

#SPJ2

PLEASE HELP NEED THIS TO PASS

Answers

The solutions to f(x) = 64 is x = 7 and x = –7.

Solution:

Given data:

[tex]$f(x)=x^{2}+15[/tex] – – – – (1)

[tex]f(x)=64[/tex] – – – – (2)

To find the solutions to f(x) = 64.

Equate equation (1) and (2), we get

[tex]x^2+15=64[/tex]

Subtract 15 from both sides of the equation.

[tex]x^2+15-15=64-15[/tex]

[tex]x^2=49[/tex]

[tex]x^2=7^2[/tex]

Taking square root on both sides of the equation, we get

x = ±7

The solutions to f(x) = 64 is x = 7 and x = –7.

The GFC of two numbers p and a is 5. Can you find the GFC of 6p and 6q?

Answers

Answer: 30

Step-by-step explanation:

1. Moesha needs $79 for a class trip. 59
She already has $22 and she can earn
the rest by babysitting for 8 hours.
If h represents her hourly earnings,
which of the following equations can
be solved to find Moesha's hourly
earnings? Select all that apply.​

Answers

Answer: 79=8h +22

Step-by-step explanation: 79 total needed 8h equals 8 times her hourly earning plus 22 what she already haves should equal 79.

Final answer:

To find Moesha's hourly earnings for babysitting, we subtract the amount she already has ($22) from the total needed ($79) to calculate the amount she needs to earn ($57), and divide this by the number of hours she will babysit (8). This gives us the equation 8h = $57, which we solve by dividing both sides by 8, leading us to find that Moesha earns $7.125 per hour.

Explanation:

Moesha needs $79 for a class trip and already has $22. She will earn the remaining amount by babysitting for 8 hours. If we use h to represent Moesha's hourly earnings, we need to set up an equation that when solved, will find her hourly earnings. The total amount Moesha needs to earn from babysitting is $79 - $22, which equals $57. Since she is babysitting for 8 hours, we divide the total amount she needs to earn by the number of hours she will work: $57 ÷ 8 hours.

Putting this into an equation, we come up with 8h = $57. To find her hourly earnings, h, we divide both sides of the equation by 8, giving us h = $7.125 per hour. Therefore, Moesha will earn $7.125 for each hour of babysitting she does.

The radius of a circle is 8 kilometers. What is the area of a sector bounded by a 180 degree arc

Answers

Answer:

100.530964915 or 32π

Step-by-step explanation:

Area=πr^2

A=π8^2

A=π(64)

A=~201.062

divide by 2

answer is 100.530964915, not sure how you should round, but 100.5 is probably correct, or the full answer.

edit: i see that there is a pi symbol that u can use in ur answer, the correct answer would be 32π

please mark brainliest if correct, you get points for marking an answer as brainliest :)

Write the expression in simplest form.
(-11/2 x + 3)-2(-11/4 x - 5/2)

Answers

Answer:

-(11 / 2x + 3) + (11x / 2) + 5

Step-by-step explanation:

I hope this helps!

solve the question of what is 2 + 3

Answers

Answer:

it's 5

Step-by-step explanation:

[tex]2 + 3 = 5[/tex]

5

Step-by-step explanation:

2 + 3 = 5

Total of answer is 5

How do I solve for what is sin A for the triangle shown

Answers

Option a:

sin A for the triangle is [tex]\frac{3}{5}[/tex].

Solution:

The given triangle is a right triangle.

The adjacent side to angle A is AC.

The opposite side to angle A is BC.

Hypotenuse is AB.

AC = 8, BC = 6 and AB = 10.

Using trigonometric ratio formulas,

[tex]$\sin \theta=\frac{\text { Opposite side }}{\text { Hypotenuse }}[/tex]

[tex]$\sin A=\frac{BC}{AB}[/tex]

[tex]$\sin A=\frac{6}{10}[/tex]

Divide both numerator and denominator by 2, we get

[tex]$\sin A=\frac{6\div2}{10\div 2}[/tex]

[tex]$\sin A=\frac{3}{5}[/tex]

Hence sin A for the triangle is [tex]\frac{3}{5}[/tex].

Option a is the correct answer.

Which relationships describes angles 1 and 2?

Select EACH correct answer

A. Adjacent angles
B. Vertical angles
C. Supplementary angles
D. Complementary angles


Answers

Answer:

C. Supplementary angles

Step-by-step explanation:

Supplementary angles add up to 180 degrees, making a straight line.

Answer:

Adjacent and Supplementary

Step-by-step explanation:

Adjacent: having a common vertex and a common side.

Supplementary: When two angles add up to 180 degrees.

Solve this equation for x in terms of y and z
7x - 5y - 2z = 4
What is he value of x when y = 5 and z = 3

Answers

Answer:

x = 5

Step-by-step explanation:

Step 1:  Set y to 5 and z to 3

7x - 5(5) - 2(3) = 4

7x - 25 - 6 = 4

7x - 31 = 4

Step 2:  Add 31 to both sides

7x - 31 + 31 = 4 + 31

7x = 35

Step 3:  Divide both sides by 7

7x / 7 = 35 / 7

x = 5

Answer: x = 5

write the statement for each of the following expressions (x+3)×4

Answers

Answer:

4x + 12

Step-by-step explanation:

(x+3)×4

(x×4) + (3×4)

4x + 12

Answer:

4x + 12

Step-by-step explanation:

(x+3)×4

(x×4) + (3×4)

4x + 12

Find a solution of the linear inequality. y > 4x - 5
O (3,0)
O (3, 4)
O (2, 1)
O (1,1)

Answers

Answer:

(1,1)

Step-by-step explanation:

y > 4x - 5

We try the points in the inequality and see if they are true

(3,0)

0 > 4*3 - 5

0 > 12-5

0>7

False

(3,4)

4 > 4*3 - 5

4 > 12-5

4>7

False

(2,1)

1 > 4*2 - 5

1 > 8-5

0>3

False

(1,1)

1 > 4*1 - 5

0 > 4-5

0>-1

True

A box is filled with 8 blue cards, 8 yellow cards, and 2 green cards. A card is chosen at random from the box. What is the probability that the card is not yellow?

Answers

The probability that the card is not yellow is [tex]\frac{5}{9}[/tex]

Solution:

The probability of an event is given as:

[tex]Probability = \frac{ \text{ number of favorable outcomes }}{ \text{ total number of possible outcomes }}[/tex]

From given,

A box is filled with 8 blue cards, 8 yellow cards, and 2 green cards

Total number of possible outcomes = 8 + 8 + 2 = 18

Favorable outcome = card is not yellow

Favorable outcome = card is blue or green = 8 + 2 = 10

Therefore,

[tex]Probability = \frac{10}{18}\\\\Probability = \frac{5}{9}[/tex]

Thus the probability that the card is not yellow is 5/9

The probability that the chosen card is not yellow  =   [tex]\frac{5}{9}[/tex]

Step-by-step explanation:

Step 1 :

Given,

Number of blue cards in the box = 8

Number of yellow cards in the box = 8

Number of green cards in the box = 2

Hence total number of cards =  18

We need to find the probability that the chosen card is not yellow.

Step 2 :

Probability that the selected card is yellow = [tex]\frac{8}{18}[/tex] = [tex]\frac{4}{9}[/tex]  [since the favorable outcome = 8 and total outcome = 18]

Hence the probability of chosen card not being yellow  = 1 -  [tex]\frac{4}{9}[/tex] =  [tex]\frac{5}{9}[/tex]

Step 3 :

Answer :

The probability of chosen card not being yellow  =   [tex]\frac{5}{9}[/tex]

HELP WORTH 25 POINTS question:

The diagram can be represented by the equation 25=2+6x. Explain where you can see the 6 in the diagram

Answers

the 6 is the 6  x's that is in the diagram

Answer:

The 6 is the 6x

Step-by-step explanation:

EQUATION: 25=2+6x, in the diagram there are 7 total boxes, one with a 2 in it, and the other 6 have x's.

Which of the following questions describes the equation 4n = -24?

Answers

Answer:

n = -6

Step-by-step explanation:

Step 1:  Divide both sides by 4

4n / 4 = -24 / 4

n = -6

Answer:  n = -6

Paul, Fiona and Pip share some sweets in the ratio 4:1:1. Paul gets 48 sweets. How many did Pip get?

Answers

Answer:

12

Step-by-step explanation:

4:1:1, from the ratio, you know that there are 6 in total (4+1+1)

so set up a proportion

(4/6) = (48/x)

so... (6 x 48) / 4 = x

x = 72, the total

now repeat to find the value for Pip

(1/6) = (x/72)

72 / 6 = 12

Final answer:

Paul, Fiona, and Pip share sweets in a 4:1:1 ratio. Paul's 4 parts amount to 48 sweets, so each part is 12 sweets. Consequently, Pip receives 12 sweets.

Explanation:

The student's question is asking how many sweets Pip would get if Paul, Fiona, and Pip share some sweets in the ratio 4:1:1 and Paul gets 48 sweets. To solve this, we'll need to break down the problem and figure out how many parts the total number of sweets is being divided into. Then, we'll calculate the number of sweets per part using the information given.

Since the ratio is 4:1:1, there are a total of 4 + 1 + 1 = 6 parts. Paul's share is 4 parts, and since Paul gets 48 sweets, each part is worth 48 sweets ÷ 4 parts = 12 sweets.

Both Fiona and Pip get 1 part each. So, since each part equals 12 sweets, Pip gets 12 sweets.

the sum of the digits in a two-digit number is 15. Three times the second digit equals two times the first digit. Write and solve a system of equations to represent this situation. Intepret the solution.

Answers

Answer:

3x 5

Step-by-step explanation:

Answer: 96 ordered pair form : (9, 6)

Step-by-step explanation:

x + y = 15

1x + 1y = 15

-1x

y = 15 - 1x (we did this so that it can be the in y=mx format)

3y = 2x (substitute the y for the solution above)

3 ( 15 - 1x ) = 2x

45 - 3x = 2x

+3x +3x

45 = 5x (divide 5 on both sides)

45/5 = 9 ; x = 9

now go back to the first equation and substitute the x for 9

y = 15 - 1(9)

y = 15 - 9

y = 6

hope this helped :)

Jeremiah created the ratio 5:13 from the table.what is he comparing

Answers

Where is the table. You need the table to do it

Write eighteen hundredths as a decimal.

Answers

Answer: 0.18

Step-by-step explanation:

18 hundredths means that if you divide something into one hundred equal parts, 18 hundredths is 18 of those parts that you just divided up. Since 18 hundredths is 18 over one hundred, 18 hundredths as a Fraction is 18/100. If you divide 18 by one hundred you get 18 hundredths as a decimal which is 0.18.

Answer:

.18

Step-by-step explanation:

I am a g at math ,if you search how to write eigteen hundredths as a decimal it will say the same answer

What Are The Factors Of The Expression? -X2+2x+35
A. -1(X-5)(X+7)
B. (X-5)(X-7)
C. -1(X+5)(X-7)
B. (X+5)(X-7)

Answers

For this case we must factor the following expression:

[tex]-x ^ 2 + 2x + 35[/tex]

We take common factor -1, taking into account that [tex]- * - = +:[/tex]

[tex]-1 (x ^ 2-2x-35)[/tex]

We factor the expression within the parenthesis, for this we look for two numbers that, when multiplied, result in -35 and when added, result in -2. These numbers are -7 and +5.

[tex]-7 + 5 = -2\\-7 * 5 = -35[/tex]

Thus, the factored expression is:

[tex]((x-7) (x + 5))[/tex]

Finally we have:

[tex]- (x-7) (x + 5)[/tex]

Answer:

Option C

Solve this question

giving 5 points

Answers

Answer:

tossing two coins once

Step-by-step explanation:

i calculated.oh and my battery's About to die and i need to write the equation so if it cuts something off, it died.Ok so since it goes two ways and has headS And tai

: In Ms. Perron’s class, 40% of the students are boys. There are 10 boys in the class. What is the total number of students in Ms. Perron’s class?

Answers

Total number of students in Ms. Perron’s class is 25

Solution:

In Ms. Perron’s class, 40% of the students are boys

There are 10 boys in the class

Let "x" be the total number of students in Perron class

From given,

40 % of total students are boys

Therefore,

40 % of x = 10

[tex]\frac{40}{100} \times x = 10\\\\40x = 1000\\\\x = 25[/tex]

Thus total number of students in Ms. Perron’s class is 25

Which graph represents the solution to the inequality 11 Less-than-or-equal-to y - 43?


A number line going from 50 to 60. A solid circle is at 54. Everything to the left of the circle is shaded.

A number line going from 50 to 60. A solid circle is at 54. Everything to the right of the circle is shaded.

A number line going from negative 35 to negative 25. A solid circle is at negative 32. Everything to the left of the circle is shaded.

A number line going from negative 35 to negative 25. A solid circle is at negative 32. Everything to the right of the circle is shaded.

help fast plz.

Answers

Answer:

A number line going from 50 to 60. A solid circle is at 54. Everything to the right of the circle is shaded.

Step-by-step explanation:

we have the inequality

[tex]11\leq y-43[/tex]

solve for y

Adds 43 both sides

[tex]11+43\leq y[/tex]

[tex]54\leq y[/tex]

Rewrite

[tex]y\geq 54[/tex]

In a number line the solution is the shaded area at right of y=54 (closed circle)

therefore

A number line going from 50 to 60. A solid circle is at 54. Everything to the right of the circle is shaded.

Would someone help me????


Compare and contrast the following pairs of quadrilaterals based upon properties of their sides and angles. Describe the nature of their relationship, i.e., a square is a rectangle, but not all rectangles and squares.

Parallelograms and rectangles
Sides:
Angles:
Relationship:

Parallelograms and squares
Sides:
Angles:
Relationship:

Answers

Answer:

Parallelograms and Rectangles

Sides: Both have 4

Angles: Both have 4 angles but a rectangle has right angles.

Relationship: A rectangle is a parallelogram but a parallelogram is not a rectangle.

Parallelograms and Squares

Sides: Both have 4

Angles: Both have 4 angles yet a square has 4 right angles

Relationship: A square is a parallelogram however a parallelogram is not a square.

Final answer:

A detailed explanation comparing properties of parallelograms and rectangles, as well as parallelograms and squares based on sides and angles.

Explanation:

Parallelograms and rectangles

Sides: In rectangles, opposite sides are equal, while in parallelograms, opposite sides are equal.

Angles: Rectangles have four right angles, whereas parallelograms do not necessarily have right angles.

Relationship: All rectangles are parallelograms, but not all parallelograms are rectangles.

Parallelograms and squares

Sides: In squares, all sides are equal, while in parallelograms, opposite sides are equal.

Angles: Squares have four right angles, whereas parallelograms do not necessarily have right angles.

Relationship: All squares are parallelograms, but not all parallelograms are squares.

I nid help to solve dis​

Answers

Answer:

[tex] y \: = \binom{ + }{ - } 8x[/tex]

Step-by-step explanation:

Working is shown in the picture.

determine area under the standard normal curve given the z score, z less than 1.25

Answers

Answer:

0.8944

Step-by-step explanation:

Use a calculator or table.

Using a z-score table:

P(z < 1.25) = 0.8944

Other Questions
a cone shaped pile of saw dust has a base diameter of 26 feet and is 10 feet tall find the volume of the pile Write a Python function that takes as input parameters base_cost (a float) and customer_type and prints a message with information about the total amount owed and how much the tip was. You may recognize this program from HW1. We'll write a very similar program, just modifying it and using string formatting. Feel free to copy/paste code from before and modify it. As a reminder, the tip amounts are 10%, 15% and 20% for stingy, regular, and generous customers. And the tax amount should be 7%. The total amount is calculated as the sum of two amounts: check_amount = base_cost*1.07 tip_amount = tip_percentage*check_amount To receive full credit, you must use string formatting to print out the result from your function, and your amounts owed should display only 2 decimal places (as in the examples below). To "pretty print" the float to a desired precision, you will need to use this format operator (refer back to class slides for more explanation): %.2f Print the results to the console like in the example below, including the base cost of the meal, tax, three tip levels, and total for regular customers. Test cases: inputs: check_amount = 20, customer_type = "regular" --> output: Total owed by regular customer = $24.61 (with $3.21 tip) inputs: check_amount = 26.99, customer_type = "generous" --> output: Total owed by generous customer = $34.66 (with $5.78 tip) inputs: check_amount = 26.99, customer_type = "generous" --> output: Total owed by stingy customer = $16.83 (with $1.53 tip) Given: 2x + 3y = 6. When x has a value of zero, the y value is 2. Tony borrows $1300 at an annual interest rate of 6.0%. He receives the loan on the first day of the current month and will make monthly payments on the first day of each of the following months until the loan is repaid after 24 months (2-year loan). The monthly loan payment is $57.62. How much interest will Tony pay as part of the first loan payment? Which of the following when added to 4a^2+9 will result in a perfect square for all integer values of a?(A) 0(B) 3a(C) 6a(D) 9a(E) 12a what is the measure of its complementary angle. What was the average age of a soldier in world war 2 A local hamburger shop sold a combined total of 518 hamburgers and cheeseburgers on Tuesday. There were 68 more cheeseburgers sold than hamburgers.How many hamburgers were sold on Tuesday?hamburgers among other things, the Civil Rights Act of 1964 made it illegal for _______ If 180 grams of potassium iodide is dissolved in 100 cm3 of water at 30oC, a(n) _______________ solution is formed. Which statement best describes part of the humanreproductive process? who's Scott's father in To kill a Mocking Bird by Harper Lee Read this sentence from the text."Early next morning he found the four pairs finished, and so it went on; what he cut out at evening was finished in the morning, so that he was soon again in comfortable circumstances, and became a well-to-do man."The shoemaker soon discovers that two little men have been making the shoes for him. What can be concluded about the impact these two men have had on the shoemaker's life? HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Help, please! Image + question. below! The tires on your bicycle have a diameter of 20 inches. How many rotations does each tire make when you travel 500 feet? When you write historical essay, which step should complete first? A,b,c,or d? Are ratios 7/4 and 42/24 equivalent Which features would work well for text entered into cells? Check all that apply.thesaurusspellingautosumaveragefindreplace Solve this problem : (X-3)^2