A math teacher was frustrated at the number of students leaving their graphing calculator behind in her classroom at the end of class without a way to locate the student. A random sample of 50 students is selected, and of the students questioned, 32 had their names written on their graphing calculators.

Required:
What would be a 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators?

Answers

Answer 1

Answer:

The 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators is (0.4652, 0.8148).

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].

A random sample of 50 students is selected, and of the students questioned, 32 had their names written on their graphing calculators.

This means that [tex]n = 50, \pi = \frac{32}{50} = 0.64[/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}} = 0.64 - 2.575\sqrt{\frac{0.64*0.36}{50}} = 0.4652[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.64 + 2.575\sqrt{\frac{0.64*0.36}{50}} = 0.8148[/tex]

The 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators is (0.4652, 0.8148).


Related Questions

The circumference of a circle is _______

A. the length of the radius
B. the distance around the circle
C. the length of the diameter
D. 270​

Answers

Answer:

B. the distance around the circle

Step-by-step explanation:

To easily answer this question, take a closer look at the given answer choices.

A says, "the length of the radius." Don't let the extra words trick you! This answer choice is just describing a radius. The term, "the length of--" is just there to trick you and to make you overthink. This answer choice is not correct because a radius =/= a circumference.

C says, "the length of the diameter." This is the exact same trick in choice A. Once you ignore the term, "the length off," you see that this answer choice is just describing a diameter. This answer is also incorrect because a diameter =/= a circumference.

D just says "270." This answer choice should not be considered, as there's no numbers involved in the question. The question is just looking for the definition of a circumference. Continually, not every circle's circumference is going to be 270. For these reasons, D is also an incorrect choice.

This leaves answer choice B. After eliminating the other answers, B becomes the remaining and correct choice. "The distance around the circle," is the only and correct definition of a circumference!

Answer:

Solution :

B

Know More :

The length of radius is not known as circumference.

Circumference or perimeter is same.

Area of circle = πr²

Perimeter of circle = 2πr

[tex] \\ [/tex]

Evaluate the function at the given values.
f(x) = 4x-5

a. f(6)
b. f(-1/2)
c. f(0)

Answers

Answer:

C. F(0)

Step-by-step explanation:

Add 5 to both sides. 5(x)=4(x)

5(0)=4(0) because 5 x 0 = 0 and 4 x 0 = 0.

Ples help i will give you the best

ITS 10 POINTS
Can u tell me how to slove

Answers

Answer:

1024.

Step-by-step explanation:

4^5=4x4x4x4x4=1024.

4x4x4x4x4

Explanation: it's just 4 five times

Match the expressions given in words with their values when d= 3. Help

Answers

Answer:

3

4

0

2

Step-by-step explanation:

3

4

0

2

Nine years ago, Tarah opened a savings account with her bank. She started with a balance of $450 and has not made any withdrawals or deposits since then.

If her interest rate is 7% each year, how much interest has accrued using simple interest?

Answers

Answer:

Step-by-step explanation:

The interest accrued is $258.48.

Step-by-step explanation:

Given that:

Initial balance in the savings account = $359

Interest rate = 8%

Time for which no withdrawals or deposits were done = 9 years

To find:

Simple Interest accrued = ?

Solution:

First of all, let us have a look at the formula for simple interest.

Where P is the Principal Amount.

R is the annual rate of interest

T is the time in years.

Here, we are given:

P = $359

R = 8%

T = 9 years

Let us put all the values in the formula:

So, the interest accrued is $258.48.

Draw a picture using the rectangular fraction model and write the answer. When possible, write your answer as a mixed number. 3/4 + 2/3 =

Answers

Answer:

yesss sirrrrrrrr

Step-by-step explanation:

l am out eyyyyyy

Elena had $50 in the bank on Monday. She had $56 on Tuesday. What was the percent of increase from Monday to Tuesday?

A.100 fish

B.40 fish

C.60 fish

D.80 fish

Answers

Answer:

c

Step-by-step explanation:

everyone knows this it’s 74 fish

Which graph represents the inequality ?

Answers

Answer:

if there is a pic i need to to help so since there is no pic i can not help

Step-by-step explanation:

Evaluate the function f(x) =x/2-5
For x=-3
F(-3)

Answers

f(-3)=-3/2-5=-3/-3=1

The total points scored in the games of an NBA playoff series: 195 177 215 200 189 232 201 199 192 201

Answers

Step-by-step explanation:

something is missing. maybe mean, median

Which shape is a trapezoid with only 1 pair of parallel side

Answers

Answer: top green one

Step-by-step explanation:

Quadrilateral

Option (b) is the correct, which shows trapezoid with one pair of parallel lines.

What is trapezoid ?

A trapezoid, also known as a trapezium, is a closed shape having four sides,  in which one pair of lines is parallel.

To show trapezoid with only 1 pair of sides,

Solve with the help of options,

(a) In the given shape, both the pair of sides are parallel.

(b) In the given shape, one side is parallel, and defines the shape of trapezoid.

(c) in the given shape, not any side is parallel to other side.

(d) In the given shape,  both the pair of sides are parallel.

Option (b) is the only option that satisfies the given condition.

To know more about Trapezoid on:

https://brainly.com/question/16642484

#SPJ2

3. A game console originally is priced at $120. Demand increases the cost by 75%. What is the new price? Show your work ​

Answers

Answer:

New price = $210

Step-by-step explanation:

Given:

Original price = $120

Increase in cost = 75%

Find:

New price

Computation:

New price = Original price + Increase in cost

New price = 120 + 120(75%)

New price = 120 + 90

New price = $210

equation for the area of a circle with a diameter of 31.6 cm. Use 3.14 for
[tex]\pi[/tex]

[tex] [/tex]

Answers

Answer:

783.8696

Step-by-step explanation:

The way to find the area of a circle is to find the radius, multiply it by itself, then multiply by pi. The diameter is double the radius so we have to divide the diameter by 2 to find the radius. 31.6/2 is equal to 15.8, and if we plug it into our formula, we can find that the area is 15.8 * 15.8 * pi, and since we use 3.14 for pi, the area is 15.8 * 15.8 * 3.14. We can use a calculator for this part and find that the area of this circle is 783.8696.

Area of a circle is PI x r^2

You are given the diameter, the radius is half the diameter:

Area - PI x 1/2(diameter)^2

Area = 3.14 x 1/2(31.6)^2

Area = 3.14 x 15.8^2

Area = 3.14 x 249.64

Area = 783.8696 sq. cm. ( Round answer as needed)

WILL GIVE BRAINLIEST!!!
At a table tennis tournament, two games lasted a total of 32 minutes. One game took 12 minutes longer than the other. How long did it take to complete each game? Use letters to represent the unknowns. Solve the problem

Answers

Answer:

22 and 10 minutes

Step-by-step explanation:

x+x+12= 32

2x+12= 32

2x= 20

x= 10 This is one game.

10+12= 22 This is the other game.

how to answer dissimilar and similar fraction using addition and subtraction?​

Answers

Answer:

Make their denominators equal using the concept of least common multiple. Then subtract their numerators accordingly. Rewrite each fraction to its equivalent fraction with a denominator equal to the LCM = 30, then subtract their numerators. Make sure to reduce your answer to the lowest term.

Step-by-step explanation:

There are 23 bears in Yellow Park. There are 5 times as many bears in Green Park. Which equation will help us find out how many bears are in Green Park?
A. b=23+5
B. b=23*5
C. b=23/5
D. b=23-5

Answers

Answer:

B

Step-by-step explanation:

"5 times as many bears"

A would be 5 more bears than,

B would be 5 times more bears than,

C would be 5 times less bears than, and

D would be 5 less bears than.

Answer:

B. b = 23 * 5

Step-by-step explanation:

Yellow Park: 23 bears

Green Park: 5 times as many bears as in Yellow Park

5 times 23 bears is is 5 * 23 or 23 * 5

Answer: B. b = 23 * 5

Cost of five lemons is $2.
What is the cost per lemon?
Answer: $
per lemon
Part B
At this rate, what is the cost of 9 lemons?

Answers

Answer:

Part a: $0.40 per lemon,  Part b: $3.60

Step-by-step explanation:

Because the cost of five lemons is $2, it would be: 5 lemon = $2

$2/5 lemons = $x/1 lemon

so divide by 5 on the numerator and denominator. 2 divided by 5 = 0.4

So part a: 40 cents or $0.40 per lemon!

Part B:

cost of 1 lemon compared to 9 lemons:

$0.40/1 = x/9

Multiply both numerator and denominator by 9

So, it costs $3.60 for 9 lemons.

how can you
change the equation y = mx + b to
shift the graph down?

Answers

Step-by-step explanation: To shift the graphs up and down on the coordinate system, you need to manipulate or change the y-intercepts.

The y-intercept is just the constant term in the equation.

As long as the slopes remain the same, the graphs can be

translated up or down by changing the constant value.

Take a look at these lines graphed below.

Notice that y = x + 11 is the same as y = x + 4 but

y = x + 11 is translated 7 units down to get y = x + 4.

Five students in the chess club went to the state tournament. If 20% of the chess club went to the tournament, how many students are in the chess club?

Answers

Answer:

25 students are in the chess club

Step-by-step explanation:

100×5=500

500÷20=25

I hope it's correct:)

Answer:

25 students

and how?

its 2          5         S       T      U       D          E         N        T         S

resiprocal of (-3/7)^2!​

Answers

Answer:

[tex]\frac{49}{9}[/tex]

Step-by-step explanation:

Given

[tex](\frac{-3}{7})^{2!}[/tex]

Required

Determine the reciprocal

If a number is x, the reciprocal is: 1/x

So, the reciprocal of [tex](\frac{-3}{7})^{2!}[/tex] is:

[tex]\frac{1}{(\frac{-3}{7})^{2!}}[/tex]

[tex]2! = 2*1 =2[/tex]

So, we have:

[tex]\frac{1}{(\frac{-3}{7})^{2}}[/tex]

[tex]\frac{1}{(\frac{-3^{2}}{7^{2}})}[/tex]

Evaluate all exponents

[tex]\frac{1}{(\frac{9}{49})}[/tex]

Take inverse of 9/49

[tex]\frac{49}{9}[/tex]

Hence, the reciprocal of [tex](\frac{-3}{7})^{2!}[/tex] is [tex]\frac{49}{9}[/tex]

Tara bought s sheets of stickers. There are 5 stickers on each sheet. Write an expression that
shows how many stickers Tara bought.
Please answer

Answers

Answer:

y= 5s

Step-by-step explanation:

Since 5 stickers are in every sheet depending on the number of sheets you get and times it with 5 you get the number of stickers Tara bought.

Please help this is due today!

Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.

Answers

Answer:

perdita is correct

Step-by-step explanation:

perdita is correct because A isoceles triangle has two of the same. The triangle will just be very very thin

What is the solution to this inequality? 10x+18<−2

Answers

Answer:

[tex]x = - 2[/tex]

[tex]10x + 8 < - 2 \\ 10x < - 2 - 8 \\ 10x < - 20 \\ \frac{10x}{10} < \frac{ - 20}{10} \\ x < - 2 [/tex]

Multiply (3x +9)(2x - 5)​

Answers

[tex] {6x}^{2} + -15x + 18x -45[/tex]

hope that helped:)

Step-by-step explanation:

=(3x+9)(2x-5)

=3x(2x-5)+9(2x-5)

=6x²-15x+18x-45

=6x²+3x-45

hope it helps.

Is 1/3 less than or greater than 5?

Answers

Answer: Less than 5

Step-by-step explanation: 1/3 is less than one its .33 so 5 is bigger

Answer: 5

Step-by-step explanation: 1/3 is smaller than 5 therefore 5 is bigger

solve this 50+50-25×0+2+2​

Answers

4 that’s the answer I think
I believe the answer is 4

Solve the image, and you get points.

Answers

The 3rd one is equivalent

David's overtime rate is $20. This week, he worked 3 overtime hours. How much will he get paid for overtime?
A. $30
B.$45
C$60

Answers

Answer:

$60

Step-by-step explanation:

3x20=60

It’s 60 because 20x3 is 60

Anyone need help? :D

Answers

Answer:

yeah why? are you going to help?me

Answer:

Yes i actually do.

Step-by-step explanation:

Comans Corporation has two production departments, Milling and Customizing. The company uses a job-order costing system and computes a predetermined overhead rate in each production department. The Milling Department's predetermined overhead rate is based on machine-hours and the Customizing Department's predetermined overhead rate is based on direct labor-hours. At the beginning of the current year, the company had made the following estimates:
Milling Customizing
Machine-hours 18,000 13,000
Direct labor-hours 4,000 7,000
Total fixed manufacturing overhead cost $ 113,400 $ 64,400
Variable manufacturing overhead per machine-hour $ 1.60
Variable manufacturing overhead per direct labor-hour $ 3.90

During the current month the company started and finished Job A319. The following data were recorded for this job:

Job A319: Milling Customizing
Machine-hours 60 10
Direct labor-hours 20 60
Direct materials $ 655 $ 305
Direct labor cost $ 400 $ 1,200The amount of overhead applied in the Milling Department to Job A319 is closest to:
A. $552.00
B. $474.00
C. $142,200.00
D. $96.00​

Answers

Answer:

Comans Corporation has two production departments, Milling and Customizing. The company uses a job-order

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