a magazine provided results from a poll of 22 adults who were asked to identify their favorite pie. among the ​respondents, 48​% chose chocolate​ pie. if the confidence level is 90​%, calculate the confidence interval for the proportion of adults who identify chocolate pie as their favorite pie.

Answers

Answer 1

The confidence interval for the proportion of adults who identify chocolate pie as their favorite pie can be calculated using the following formula:
Confidence Interval = Sample Proportion ± Margin of Error

First, we need to calculate the sample proportion. In this case, the sample proportion is equal to the percentage of respondents who chose chocolate pie, which is 48%.

Sample Proportion = 48% = 0.48

Next, we need to calculate the margin of error. The margin of error depends on the confidence level and the sample size. In this case, the confidence level is 90%, which corresponds to a z-score of 1.645 (obtained from a z-table). The sample size is 22.

Margin of Error = z * sqrt((Sample Proportion * (1 - Sample Proportion)) / Sample Size)
                = 1.645 * sqrt((0.48 * (1 - 0.48)) / 22)
                = 0.229

Now we can calculate the confidence interval.
Confidence Interval = Sample Proportion ± Margin of Error
                          = 0.48 ± 0.229
                          = (0.251, 0.709)

The confidence interval for the proportion of adults who identify chocolate pie as their favorite pie is (0.251, 0.709) at a 90% confidence level.

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Related Questions

PLEASE HELP ASAP!!
Which of the following is the role of supporting details in a text?

A: to help the reader understand the central idea

B: to give the author's opinion about a topic

C: to give information about topics related to the main topic

D: to show the reader how to find more details about the topic in other texts

Answers

Answer:

Writers use supporting details to give readers more information about their topics. and main ideas. It also includes what the author wants the reader to understand about the topic he or she has chosen to write about.. Supporting details help readers answer questions they have about the topic or main idea.

Step-by-step explanation:

The role of supporting details in a text is to help the reader understand the central idea. which is the correct answer would be an option (A)

What is a central Idea?

A central Idea is defined as the article's overarching truth being communicated by the primary concept. It's frequently taken to mean the primary idea or the central Idea.

Supporting details are used by writers to educate readers about their subjects and key concepts. What the author wants the reader to know about the subject they have chosen to write about is also included. Readers can get their questions regarding the subject or key idea answered with the help of supporting details.

Supporting elements are taken from the text and utilized to back up the central Idea, especially while writing an essay, and to help the reader comprehend the central idea. therefore, assisting.

Hence, the role of supporting details in a text is to help the reader understand the central idea. which is the correct answer would be an option (A)

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Graph the inequality.
\(y \leqslant 2\)

Answers

plot a shaded point (closed circle) on (0,2) then shade above the line. the line should be horizontal or parallel to the x axis

Connor is a 400m runner His median time is

Answers

Answer: 57.8

Step-by-step explanation:48.7 seconds + 49.3 seconds.= 57.8

geometry, finding angle

geometry, finding angle

Answers

Answer:

See below

Step-by-step explanation:

Angle a       cos = adj leg / hyp  

                    arcos(28/35) = a = 36.9 °

angle b        you could just say    

                            a + 90 + b = 180°     (angles in triangle sum to 180 )

                                                        36.9 + 90 + b = 180      b = 53.1°

   

         or   angle b = arcsin (opp/hyp) = arcsin (28/35) = 53.1°

please can someone help asap this hw is due in a few hours

please can someone help asap this hw is due in a few hours

Answers

Answer:

.05 euro for each 1 pack of small,  around .051 euro for each medium, and around .052 euro for 30

Step-by-step explanation:

best to go for the small pack.  ill be .50 euros to get 10 small packs, .51 euros to get 10 medium packs, and .52 euros to get 1- big packs

This is my best guess, so don"t be rewarding me yet till you get it right

(this is the skeleton in your closet saying don"t forget to thank your gifts

Convert 40 km/hr to m/s. Show work and 11 in to mm.

Convert 40 km/hr to m/s. Show work and 11 in to mm.

Answers

Answer:

11.1111 for 40 km

279.4 for 11 in

Step-by-step explanation:

At a grocery store, Rick bought 3 bottles of water and 5 heart-healthy frozen meals for $24. Danny bought 4 bottles of water and 4 heart-healthy frozen meals for $22. Identify the cost of a bottle of water and the cost of a heart-healthy frozen meal.

Answers

The cost of a bottle of water at the grocery store is $2, while the cost of a heart-healthy frozen meal is $4.

Let's assign variables to the unknowns: let the cost of a bottle of water be 'W' and the cost of a heart-healthy frozen meal be 'M'. From the given information, we can form two equations:

Equation 1: 3W + 5M = 24 (for Rick's purchase)

Equation 2: 4W + 4M = 22 (for Danny's purchase)

To solve these equations, we can use the method of substitution or elimination. Let's use the elimination method by multiplying Equation 1 by 4 and Equation 2 by 3 to eliminate the 'W' term:

12W + 20M = 96 (Equation 3)

12W + 12M = 66 (Equation 4)

By subtracting Equation 4 from Equation 3, we get:

8M = 30

Dividing both sides by 8, we find:

M = 3.75

Substituting the value of M back into Equation 4, we can solve for W:

12W + 12(3.75) = 66

12W + 45 = 66

12W = 66 - 45

12W = 21

W = 1.75

Therefore, the cost of a bottle of water is $1.75, and the cost of a heart-healthy frozen meal is $3.75.

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Write a general formula to describe the following variation: F is directly proportional to the square of d, and F = 40 when d = 5.
Answers:

40 = 5k

F = 8d

F = 1.6*d^2

F = kd

Answers

A general formula to describe is F = 1.6×d² will be correct answer.

What in math is a proportional?

A relationship is considered proportional if the ratio remains constant. For instance, the average number of apples produced per tree is a measure of proportionality, and the number of trees in an orchard is inversely related to the number of apples produced in a harvest. When two quantities are proportionate with one another, then expand and contract at the same pace, keeping the relationship constant.

Finding the general formula we obtain:

F=kd²

40=k×5²

k=1.6

so, F =1.6×d².

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The function f is defined by the following rule.
Find f(x) for each x-value in the table.

Answers

The f(x) value for each x-value in the table is

-2    36

-1     6

0      1

1       1/6

2       1/36

Finding f(x) for each x-value in the table.

From the question, we have the following parameters that can be used in our computation:

f(x) = (1/6)ˣ

From the table, we have the values of x to be integer values from -2 to 2

Using the above as a guide, we have the following:

f(-2) = (1/6)⁻² = 1/36

f(-1) = (1/6)⁻¹ = 6

f(0) = (1/6)⁰ = 1

f(1) = (1/6)¹ = 1/6

f(2) = (1/6)² = 1/36

So, the complete table of values is

-2    36

-1     6

0      1

1       1/6

2       1/36

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The function f is defined by the following rule. Find f(x) for each x-value in the table.

Use implicit differentiation to find the equation of the tangent tine to the curve xy 3
+xy=14 at the noint (7,1). The equation of this tangent line can be written in the form y=mx+b where m is: and where b is:

Answers

The equation of the tangent line to the curve xy^3 + xy = 14 at the point (7, 1) can be written as y = 3x - 20, where m = 3 and b = -20.

To find the equation of the tangent line, we'll differentiate both sides of the given equation implicitly with respect to x. Applying the product rule and chain rule, we get:

d/dx\(xy^{3}\) + d/dx(xy) = d/dx(14)

Using the power rule, the derivative of \(xy^{3}\) with respect to x is \(3xy^{2}\), and the derivative of xy with respect to x is y + x(dy/dx). The derivative of a constant is 0. Simplifying the equation, we have:

y^3 + \(3xy^{2}\)(dy/dx) + y + x(dy/dx) = 0

Now, we substitute the coordinates of the point (7, 1) into the equation: x = 7 and y = 1. Solving for (dy/dx), we get:

1 + 21(dy/dx) + 1(dy/dx) = 0

22(dy/dx) = -2

(dy/dx) = -2/22

(dy/dx) = -1/11

So, the slope of the tangent line (m) is -1/11. Now, substituting the slope and the point (7, 1) into the equation y - y1 = m(x - x1), we can find the y-intercept (b):

y - 1 = (-1/11)(x - 7)

11(y - 1) = -x + 7

11y - 11 = -x + 7

11y = -x + 18

y = (-1/11)x + 18/11

Thus, the equation of the tangent line is y = (-1/11)x + 18/11, which can be written as y = 3x - 20, indicating that the slope (m) is 3 and the y-intercept (b) is -20.

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I no longer need this to be answered

Answers

Answer:

oh ok hope you got the answer

Step-by-step explanation:

period ah period uh period ah period uh slay queen baddie

Help me out and thank you for the help

Help me out and thank you for the help

Answers

Answer:

it's 42

count the cubes in the shape u will get the answer

7. A farmer plants 987 apple trees in
9 rows. Can each row have the same
number of trees? How do you know?​

Answers

Answer:

No because you can split a tree

Step-by-step explanation:

a=2bc
b=0.554 (3sf)
c=6000(1sf)
Work out the lower bound for the value of a.
Give your answer correct to 3 decimal places when appropriate.

Answers

The lower bound for the value of A is approximately 5535.

Given the equation A = 2bc and the values b = 0.554 (to 3 significant figures) and c = 6000 (to 1 significant figure), we can calculate the lower bound for the value of a.

To find the lower bound, we need to consider the maximum possible value for b and c within their respective rounding limits.

For b = 0.554 (to 3 significant figures), the lower bound would be the smallest value that is still within the range of possible values for b.

Since b is given to 3 significant figures, the lower bound can be considered as 0.5535, which retains the three significant figures.

For c = 6000 (to 1 significant figure), the lower bound would be the largest value that is still within the range of possible values for c.

Since c is given to 1 significant figure, the lower bound can be considered as 5000, which retains the one significant figure.

Now, we can substitute the lower bound values of b and c into the equation A = 2bc:

\(A = 2 \times 0.5535 \times 5000\)

A ≈ 5535

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For the weight of the box that she measured, beatriz determined the margin of error as 23. 5 pounds to 24. 5 pounds. What was the greatest possible error for her actual measurement?.

Answers

The greatest possible error for her actual measurement 0.5 pounds

What is a mistake, exactly?

A mistake is an inaccurate or incorrect action (the Latin word error, which means "wandering"). Sometimes the terms "mistake" and "error" are used synonymously. The Latin word "errare," which means "to stray," is the source of the etymology.

Given:

Beatriz calculated the error range to be 23.5 to 24.5 pounds.

How much room did she have for error in her actual measurement?

Solution:

We initially locate the median of the supplied numbers before calculating the margin of error.

23.5 and 24.5 as the median

\(M=\frac{23.5+34.5}{2}= \frac{48}{2}=24\)

Therefore, the largest inaccuracy is 24.5-24 = 0.5 pounds.

As a result, 0.5 pounds is accurate.

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Theo mows a lawn. After working for 1 3/5 hours, he has mowed 7/9 of the lawn. Can Theo mow the lawn in 2 hours if he continue to mow at the same rate?

Answers

Yes, he can mow the lawn in 2 hours.

What is work done?

We can define the work done as, a work done in a given period of time.

Given that, Theo mows a lawn. After working for 1 3/5 hours, he has mowed 7/9 of the lawn

In \(1\frac{3}{5}\) hours he mows 7/9 part of lawn

Therefore, in 8/5 hours he is mowing 7/9 part of lawn

In 1 hour = 7/9*5/8 = 35/72

In 2 hours = 35/72*2 = 35/36 ≈ 1

Hence, Yes, he can mow the lawn in 2 hours.

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Question 7
1 pts
Mike purchased a car worth $18,000 in the year 2008. It loses its value by 6% per
year. What is the value of the car in 2020? Round your answer to the nearest whole
dollar, and do not enter any decimals or commas.
$
Need some help

Answers

Answer:

I'm pretty sure that'd be 8567

Given the parent function , which of the following is true about this graph? The parent function was translated. The parent function was reflected. The parent function was dilated. The parent function was restricted.

Answers

Answer- The parent function was reflected & The parent function was dilated

For the given graph the parent function was reflected and the parent function was dilated.

What is parent function?

A parent function in mathematics is the simplest function in a family of functions that keeps the definition of the entire family.

For the given graph the parent function was reflected and the parent function was dilated.

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Given the parent function , which of the following is true about this graph? The parent function was

what is nine and forty-two hundredths

Answers

Answer:

9.42

Step-by-step explanation:

Breaking the phrase down:

'Nine' would be the number 9 in the ones place.

'And' represents the decimal in a number. ('.')

'Forty-Two Hundredths" is 0.42.

So, "nine and forty-two hundredths" would be 9.42.

Hope this helps.

What is 5 x 100 + 3 + 10 + 8 x 0.1 + 9 x 0.009

Answers

Answer:

513.881

Explanation: (Credits to jessy276)

= 5*100+3+10+8*0.1+9*0.009

= 500+3+10+8*0.1+9*0.009

= 500+3+10+0.8+9*0.009

= 500+3+10+0.8+0.081

= 503+10+0.8+0.081

= 513+0.8+0.081

= 513.8+0.081

= 513.881

Answer:

The answer is 513.881

Step-by-step explanation

After 3 years, a $1,500 investment is worth $1,680. What is the interest rate on the investment?
A. 0.04 percent
B. 2.0 percent
C. 4.0 percent
D. 37.3 percent

Answers

Answer:

the answer is C.

Step-by-step explanation:

your welcome..

Answer:

youre answer would be 4 so that would be C

A snail travels 48 inches per hour. Choose all the metric measures that are faster than 48 inches per hour

Answers

The value of 48 inches/hour is 121.92 centimetres/hour.

What is an expression?

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

To compare the speed of 48 inches per hour with metric measures, we need to convert inches to metric units. One way to do this is to use the conversion factor of 1 inch = 2.54 centimetres.

48 inches per hour is equivalent to:

48 inches/hour x  2.54 centimeters/inch = 121.92 centimeters/hour

To find all the metric measures that are faster than 48 inches per hour, we can convert 121.92 centimetres/hour to other units of measure. Here are some options:

1.2192 meters/hour: This is faster than 121.92 centimetres/hour because 1 meter = 100 centimetres.

0.0759 miles/hour: This is faster than 48 inches/hour because 1 mile = 63,360 inches.

Therefore, the metric measures that are faster than 48 inches per hour are 1.2192 meters/hour, 0.0759 miles/hour, and 0.042 knots.

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What mass of water will fill a tank that is 50cm long, 25 cm wide, and 10 cm high? Express the answer in grams.

Answers

Answer:150000 grams

Step-by-step explanation:

The density of water is 1g/cm^3, The mass of water needed to fill the  tank is 150000 grams

I need help 20 points please

I need help 20 points please

Answers

Answer:

true

false

true

Step-by-step explanation:

.... im not exactly sure it seems like common sense to me sorry if i didnt help

Harvey the wonder hamster can run 3\dfrac16 \text{ km}3 6 1 ​ km3, start fraction, 1, divided by, 6, end fraction, start text, space, k, m, end text in \dfrac14 4 1 ​ start fraction, 1, divided by, 4, end fraction hour. Harvey runs at a constant rate.

Answers

Answer:

\(2\frac{8}{15}\)

Step-by-step explanation:

The calculation of average speed in kilometres per hour is shown below:-

As we know that

\(Speed = \frac{Distance}{Time}\)

So, the average speed is

\(= 3\frac{1}{6} \div 1\frac{1}{4}\)

Now we will convert into a mixed number i.e

\(3\frac{1}{6} = \frac{19}{6} \\\\ 1\frac{1}{4} = \frac{5}{4}\\\\ = \frac{19}{6} \div\frac{5}{4}\\\\ = \frac{19}{6} \times \frac{4}{5}\)

Now the cross cancel common factor is 2

So,

\(= \frac{19}{2}\times \frac{2}{5} \\\\ = \frac{38}{15} \\\\ = 2\frac{8}{15}\)

hence, the average speed is \(2\frac{8}{15}\) in kilometers per hour

Therefore we simply applied the above formulas to determine the average speed that comes in kilometers per hour

Office Supplies: The Office Supplies account started the year with a $4,000 debit balance. During the year, the company purchased supplies for $13,400, which added to the Office Supplies Account. The inventory of supplies available at the end of the year totaled $2,554.1. The beginning balance of Office Supplies: 2. The amount to be adjusted (show your calculation): 3. The ending balance of the account after the adjustment (show your calculation):4. Adjusting Journal Entry (please include description): Date Account Debit Credit

Answers

1.The beginning balance should be $4,000

2.The amount to be adjusted is $2554

3.The ending balance of the account after the adjustment $2554

4. Office Supplies Account is $14846

Adjusting entry:

An adjusting entry is an additional journal entry that is made at the end of the month or year. When any financial transaction is incurred for which the amount is not accrued yet or no financial transaction incurred for the accrued amount and in such case the adjusting entry is made to know the actual amount accrued in the month or year.

The adjustment entries are the additional entries to the recorded journal entries.

"Information available from the question"

The Office Supplies account started the year with a $4,000 debit balance

The company purchased supplies for $13,400,

The inventory of supplies available at the end of the year totaled $2,554.

Now, According to the question:

1. The beginning balance should be $4,000

2.The adjusted amount is

Opening balance = 4000

Add: New purchases = 13400

Balance after Purchase = 17400

Less: Year end balance = 2554

3. The ending balance is $2,554

4. The adjusting journal entry is

Dr. Supplies Expense Account is 14846

Adjustment in the year = Cr. 14846 (subtracted from the balance)

Office Supplies Account is 14846

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given a multi-value attribute with a variable number of values, for which we need to process independently the values, it is recommended to consider a new dependent entiy to represent the values

Answers

Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently.

Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently, it is recommended to consider creating a new dependent entity to represent the values. This can help to simplify the design and make it easier to manage and maintain. The new entity can be linked to the original entity through a relationship, allowing each value to be processed independently while still maintaining the integrity of the data. Overall, this approach can improve the efficiency and effectiveness of the system, making it easier to work with and providing better results for the end user.

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please help me with this.

please help me with this.

Answers

Answer:

D) (y -6) = 2(x - 7)

Step-by-step explanation:

Original Point Slope Form:

y - y1 = m( x - x1)

Insert (x, y)

Answer:

D. (y-6)=2(x-7)

Hopes it helps you...

Thank you ☺️☺️

convert 2 Bigha into kattha ​

Answers

Answer:

To convert 2 Bigha into Kattha:

If 1 Bigha = 20 Kattha:

2 Bigha = 2 * 20 Kattha = 40 Kattha

If 1 Bigha = 16 Kattha:

2 Bigha = 2 * 16 Kattha = 32 Kattha

you bought two new pairs of shoes with the last of your money in your checking account. your next payday isn't until next friday. what is opportunity cost of these shoes?

Answers

The opportunity cost of buying two new pairs of shoes with the last of your money in your checking account is the potential alternative uses of that money, such as paying bills or saving for future expenses.

Opportunity cost refers to the value of the next best alternative that is foregone when a choice is made. In this scenario, the opportunity cost of buying the shoes is the potential use of the money for other purposes. Identify the situation: You have purchased two new pairs of shoes using the last of your money in your checking account.

Determine the available alternatives: The alternatives in this case include paying bills, saving the money for future expenses, or investing it.

Assess the potential benefits of each alternative: Consider the benefits and importance of paying bills on time, ensuring financial stability, and having savings for emergencies or future needs.

Evaluate the chosen option: By choosing to buy the shoes, you have foregone the opportunity to use that money for the alternatives mentioned above.

Calculate the opportunity cost: The opportunity cost is the value of the next best alternative, which in this case is the potential benefit or financial security that could have been achieved by using the money for bills or savings.

To summarize, the opportunity cost of buying the shoes is the potential alternative uses of the money, such as paying bills or saving for future expenses.

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