a chocolate chip cookie manufacturing company recorded the number of chocolate chips in a random sample of 50 cookies. the company found the mean to be 22.43 chocolate chips and the standard deviation is 2.14. assuming the number of chocolate chips in a cookie is normally distributed, construct a 98% confidence interval estimate of the standard deviation of the numbers of chocolate chips in all such cookies. find the confidence interval for the population variance and confidence interval for the standard deviation. round to the tenths place.

Answers

Answer 1

With 98% confidence, we estimate that the population standard deviation of the number of chocolate chips in all cookies lies within the range of 0.2 to 0.4

To construct a confidence interval estimate of the standard deviation of the number of chocolate chips in all cookies, we can use the chi-square distribution. Since the sample is large and the number of chocolate chips is assumed to be normally distributed, we can apply the chi-square distribution to estimate the population variance and standard deviation.

Given:

Sample size (n) = 50

\(Sample mean (x) = 22.43\)

Sample standard deviation (s) = 2.14

To find the confidence interval for the population variance, we can use the chi-square distribution with (n - 1) degrees of freedom. For a 98% confidence level, the critical values for the chi-square distribution are 25.9875 (lower tail) and 75.913 (upper tail). Using these critical values, the confidence interval for the population variance is approximately (s² / upper bound, \(s^2\) / lower bound) or \((2.14^2 / 75.913, 2.14^2 / 25.9875)\) which simplifies to (0.060, 0.152).

To find the confidence interval for the standard deviation, we take the square root of the values in the confidence interval for the variance. Therefore, the confidence interval for the standard deviation is approximately (√0.060, √0.152) or (0.245, 0.390) rounded to the tenths place.

Therefore, with 98% confidence, we estimate that the population standard deviation of the number of chocolate chips in all cookies lies within the range of 0.2 to 0.4.  

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Related Questions

Kevin works 2 hours more than emily each time they work together. Using this information, complete the table

Kevin works 2 hours more than emily each time they work together. Using this information, complete the

Answers

If Kevin works two more hours than Emily, the correct number of hours that complete the table are 6, 5, 8, and j.

How many hours do Kevin and Emily work?

The number of hours can be expressed as:

The number of hours Emily works = K - 2 or the number of hours Kevin works minus 2.The number of hours Kevin works = E + 2 or number of hours Emily works plus 2.

What are the missing numbers?Emily = Kevin4 hours = 6 hous (E+2)5 hours (K-2) = 7 hours 6 hours = 8 hours (E+2)h= j (E+2)

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The area of a rectangle is 8w+18 Use your width expression to find the length of the rectangle when w=1.25feet show your work

Answers

ANSWER

22.4 feet

EXPLANATION

The area of a rectangle is the product of its length and width,

\(A=l\cdot w\)

We know that the area of this rectangle is 8w+18,

\(8w+18=l\cdot w\)

Divide both sides by w to solve for l,

\(l=\frac{8w+18}{w}\)

We have to solve this for w = 1.25 ft,

\(l=\frac{8\cdot1.25ft+18}{1.25ft}=22.4ft\)

Hence, the length of the rectangle is 22.4 feet.

suppose random variables x and y are related as y=1.90x 6.29. suppose the random variable x has mean zero, and variance 1. what is expected value of ?

Answers

After calculation we find out the expected value of Y is 6.29.

Here is step by step calculation of the answer.

The expected value of Y can be calculated using the given relationship between X and Y, as well as the mean and variance of X. The relationship is Y = 1.90X + 6.29, where the mean of X is 0, and the variance of X is 1.

Step 1: Calculate the expected value of Y using the mean of X.
E(Y) = E(1.90X + 6.29)

Step 2: Apply the linearity property of expectation.
E(Y) = 1.90 * E(X) + E(6.29)

Step 3: Substitute the given mean of X (0) into the equation.
E(Y) = 1.90 * 0 + 6.29

Step 4: Calculate value of Y.
E(Y) = 6.29

The expected value of Y is 6.29.

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An ice cream shop sells sundaes for $2 and banana splits for $3. On a hot day the shop sold 8 more sundaes than banana splits and made $156 . Calculate the number of each product sold

Answers

Answer:

Number of sundaes = 36

Number of banana split = 28

Step-by-step explanation:

On that day, let the number of sundaes sold be x

Now, since they sold 8 more sundaes than banana, the number of bananas sold is x-8

So the cost of sundaes sold will be 2 * x = 2x

the total cost of banana splits sold will be 3(x-8) = 3x -24

The addition of both equals 156

Hence;

2x + 3x-24 = 156

5x -24 = 156

5x = 156 + 24

5x = 180

x = 180/5

x = 36

So

number of sundaes sold is 36 while the number of bananas split sold is 36-8 = 28

I need an answer ASAP Thank you!

I need an answer ASAP Thank you!

Answers

Answer: The answer is 25/33

Step-by-step explanation:

By rounding to 1 significant figure, estimate
0.48 X 1594.3

Answers

Answer:

0.000023456633455 is answer

a survey among tenants of shared apartments asked each tenant what percentage of the cleaning around the apartment he or she does. the survey found that aggregating the percentages for each apartment produces an average of much more than 100%. this result may be due to what bias?

Answers

The result of an average of more than 100% in a survey of tenants on cleaning chores in shared apartments is likely due to social desirability bias.

The average tenant response of more than 100% in a study about cleaning duties in shared apartments is probably the product of social desirability bias. Social desirability bias occurs when respondents give answers that they think are socially acceptable or desirable, rather than their true opinions or behavior.

In this case, tenants may have overstated their contribution to cleaning the apartment, in order to appear more helpful or responsible, leading to an average percentage higher than 100%.

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suppose that iq scores have a bell-shaped distribution with a mean of 98 98 and a standard deviation of 17 17 . using the empirical rule, what percentage of iq scores are greater than 64 64 ? please do not round your answer.

Answers

The percentage of IQ scores greater than 64 is 100% - 1.06% = 98.94%.

We need to use the standard normal distribution and the standard score (z-score) formula to convert IQ scores to standard normal values in order to find the percentage of IQ scores greater than 64.

The standard scoring formula is as follows:

z = (x - μ) / σ

where x is the IQ score, is the IQ distribution's mean (98), and is the IQ distribution's standard deviation (17).

So, for an IQ of 64, the standard score is:

z = (64 - 98) / 17 = -2.35

With the standard score in hand, we can use a standard normal table or a z-score calculator to calculate the percentage of IQ scores greater than 64. A z-score of -2.35 indicates a probability of 0.0106. This means that 1.06% of IQ scores less than or equal to 64.

Therefore, the percentage of IQ scores greater than 64 is 100% - 1.06% = 98.94%.

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50x3 – 20x + 8x ─ 21x3 – 3x + 15x ─29 x3

Answers

Answer:

0

General Formulas and Concepts:

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

50x³ -20x + 8x - 21x³ - 3x + 15x - 29x³

Step 2: Simplify

Combine like terms (x³):                    -20x + 8x - 3x + 15xCombine like terms (x):                     0

Answer:

\(\boxed {\boxed {\sf 0}}\)

Step-by-step explanation:

We are given the expression:

\(50x^3-20x+8x-21x^3-3x+15x-29x^3\)

We want to simplify it, so we must combine the like terms. For this equation, the like terms are terms with x³ or x.

First, combine all the x³ terms.

\((50x^3-21x^3-29x^3)-20x+8x-3x+15x\)

\((0x^3)-20x+8x-3x+15x\)

\(-20x+8x-3x+15x\)

Next, combine all the remaining terms, because they are all terms with an x.

\(-12x-3x+15x\)

\(-15x+15x=0\)

The expression is equal to 0

Park visitors
100
150
200
250
300
350
1) What was the range of the number of park visitors each day?
visitors
Submit

Answers

Answer:

The answer is 225

Step-by-step explanation:

Because you first need to subtract 350-125 and you get 225

Solve for x. Round to the nearest tenth.

Solve for x. Round to the nearest tenth.

Answers

Step-by-step explanation:

tan39=27/x

0.80x=27

x=33.75

plz make me brainliest

The solution for this problem is
answer x=24

Solve each inequality.

−8b+21>5

Answers

Answer:

b<2

Step-by-step explanation:

-8b+21>5

subtract 21 from each side

-8b+21-21>5-21

simplify

-8b>-16

divide both sides by 8

b<2

hope this helps (:

for a walk-a-thon a sponsor committed to give to give you a flat fee of $5 plus $2 for every Mile you walk write an expression for the total amount you collected from the sponsor at the end of The Walking on expression ​

Answers

you will get 57.44’$

Ms. Anderson has $60.000 iricome this year and $40.000 next year, the maket interest fate is 10 percent per year. Suppose Ms. Anderson consumes $80,000 this year. What will be her corsumption next year?
a. $18000
b. $70000
c. $60000
d. $30000

If the total debt ratio is 0.5. what is the debt-equity ratio? (Assume no leases.)
a. 2.0
b. 4.0
c. 1.0
d. 0.5

Answers

The consumption next year for Ms. Anderson will be approximately $56,363.64 which is not in options, and the debt-equity ratio, based on a total debt ratio of 0.5, so the answer is option d.

To answer the first question, we need to calculate the consumption next year based on the given information. We can use the concept of present value to determine the amount.

The present value formula is:

Present Value = Future Value / (1 + Interest Rate)^n

Where:

Future Value is the amount to be received in the future

Interest Rate is the rate of return or interest rate per period

n is the number of periods

Given that Ms. Anderson has an income of $40,000 next year and the market interest rate is 10 percent, we can calculate the present value of $40,000:

Present Value = $40,000 / (1 + 0.10)^1

Present Value = $40,000 / 1.10

Present Value ≈ $36,363.64

Since Ms. Anderson consumes $80,000 this year and her present income next year is approximately $36,363.64, her consumption next year will be the sum of her present income and the remaining amount:

Consumption next year = Present income + Remaining amount

Consumption next year = $36,363.64 + ($80,000 - $60,000)

Consumption next year = $36,363.64 + $20,000

Consumption next year = $56,363.64

Therefore, the consumption next year will be approximately $56,363.64. None of the provided options match this amount, so it seems there might be an error in the answer choices.

Given that the total debt ratio is 0.5, it implies that the total debt is half of the total equity.

The debt-equity ratio is calculated by dividing the total debt by the total equity:

Debt-Equity Ratio = Total Debt / Total Equity

Substituting the given information, we have:

Debt-Equity Ratio = 0.5 * Total Equity / Total Equity

The term "Total Equity" cancels out, resulting in:

Debt-Equity Ratio = 0.5

Therefore, the correct answer is option d. 0.5.

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Give two examples as to how pi is used in every day life

Answers

Answer:

In basic mathematics, Pi is used to find area and circumference of a circle. You might not use it yourself every day, but Pi is used in most calculations for building and construction, quantum physics, communications, music theory, medical procedures, air travel, and space flight, to name a few

Step-by-step explanation:

In which quadrant does the point (15,-7) lie?

Answers

Answer:

Quadrant 4

Step-by-step explanation:

Quadrant 1: Positive x and Positive y

Quadrant 2: Negative x and Positive y

Quadrant 3: Negative x and Negative y

Quadrant 4: Positive x and Negative y

For point (15, -7), we have a Positive x and a Negative y so it belongs in Quadrant 4.

The quadrant the given point (15,-7) lie is fourth  quadrant.

The first quadrant in Cartesian coordinate is given as;

= (x, y)

The second quadrant in Cartesian coordinate is given as;

= (-x, y)

The third quadrant in Cartesian coordinate is given as;

= (-x, -y)

The fourth  quadrant in Cartesian coordinate is given as;

=(x, -y)

(15,-7) corresponds to (x, -y)

Thus, the quadrant the given point lie is fourth  quadrant.

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what expression represent the product of 3/4 and c

Answers

the expression will be 3/4 c.

What is the arithmetic operation?

The four basic arithmetic operations are addition, subtraction, multiplication, and division of two or more quantities. They all fall under the umbrella of mathematics, and among them is the study of numbers, particularly the order of operations, which is crucial for all other branches of the subject, such as algebra, data organization, and geometry. To solve the problem, you must be familiar with the fundamentals of mathematical operations.

While we looking into the given statement we have identified that the following are presented

3/4 refers number also known as constant

c refers the variable

The term product refers the mathematical operation that has been done between number and variable.

So, as per the standard form of expression is can be written as.

=> 3/4 x c

=> 3/4 c

Hence the expression will be 3/4 c.

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I NEED HELP FAST PLEASE I DON'T UNDERSTAND THIS

I NEED HELP FAST PLEASE I DON'T UNDERSTAND THIS

Answers

The variable associated with the interior and exterior angles in the triangle is equal to 56.

The value of the exterior angle is equal to 116°.

How to determine the value of a variable associated with interior and exterior angles in a triangle

This question presents the case of a geometric system formed by a triangle and a semirray that includes two interior angles and a exterior angle. Please notice that the sum of the measures of interior angles in a triangle equals 180° and the sum of two supplementary angles equals 180°.

First, derive the equation of the missing interior angles in triangle PQR:

m ∠ R = 180° - 60° - x

m ∠ R = 120° - x

Second, obtain the equation for the two supplementary angles:

(120° - x) + (2 · x + 4°) = 180°

124° + x = 180°

x = 56

Third, determine the value of the exterior angle:

θ = 2 · x + 4

θ = 2 · 56 + 4

θ = 116°

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Between which two weeks did the greatest increase in new blossoms occur? a. 1 and 2 b. 4 and 5 c. 5 and 6 d. 8 and 9

Answers

The greatest increase in new blossoms occur is B) 4 and 5.

What is axis ?

An axis is a line with respect to which a curve or figure is drawn, measured, rotated, etc. The most common axes encountered are commonly the mutually perpendicular Cartesian axes in the plane or in space. The plural of "axis" is "axes," pronounced "ax-ees."

Have given,

A bar graph titled New Blossoms has week on the x-axis and number on the y-axis.

here was in increase of 6 blossoms between weeks 4 and 5 which is the highest out of all the options.

Therefore ,The greatest increase in new blossoms occur is B) 4 and 5.

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what is the probability a randomly selected employee from the table will make at least $45,000? (round your answer to 4 decimal places.)

Answers

The probability of a randomly selected employee from the table making at least $45,000 is 0.4 or 40%.

The probability of a randomly selected employee making at least $45,000 can be calculated by dividing the number of employees who make at least $45,000 by the total number of employees in the table.

From the table provided, we can see that there are 10 employees who make at least $45,000.

The total number of employees in the table is 25.

Therefore, the probability of a randomly selected employee making at least $45,000 is:
10/25 = 0.4

This can also be expressed as a percentage by multiplying by 100:
0.4 x 100 = 40%

So the probability of a randomly selected employee from the table making at least $45,000 is 0.4 or 40%.

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Triangle abc is a right triangle and cos(22.6o)=b/13. solve for b and round to the nearest whole number.

Answers

According to the given statement , the value of "b" in the equation cos(22.6°) = b/13 is approximately 12.

To solve for "b" in the equation cos(22.6°) = b/13, we can use trigonometric functions.

Step 1:

Rewrite the equation as cos(22.6°) = b/13.

Step 2:

Multiply both sides of the equation by 13 to isolate "b". This gives us:

b = 13 * cos(22.6°).

Step 3:

Use a calculator to find the cosine of 22.6°. The value of cos(22.6°) is approximately 0.9239.

Step 4:

Substitute this value back into the equation to find "b". b = 13 * 0.9239.

Step 5:

Calculate the value of "b" by multiplying 13 by 0.9239. The result is approximately 11.999.

Step 6:

Round the value of "b" to the nearest whole number. Since 11.999 is closer to 12, we round up to 12.

Therefore, the value of "b" in the equation cos(22.6°) = b/13 is approximately 12.

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4c=88 what does c equal

Answers

Answer:

c = 22

Step-by-step explanation:

To solve for c, you need to isolate it from the coefficient, 4, by dividing 4.

88 divided by 4 is 22, so c = 22.

Hope this helps!

Please give brainliest

Answer:

22

Step-by-step explanation:

4c=88, you have 4 groups of c on the left, so you need to divide by four on         the left, but whatever you do to one side you do to the other

4c/4=88/4, the two fours on the left side cancel each other out

c=88/4

c=22

Triangle PQR is similar to triangle STU. Find the measure of side TU. Figures are not drawn to scale.

Triangle PQR is similar to triangle STU. Find the measure of side TU. Figures are not drawn to scale.

Answers

Step-by-step explanation:

when 2 triangles are similar, it means that both have the same angles. and that then all the corresponding side lengths relate to each other by the same multiplication factor.

PQ and ST are corresponding sides.

the length of ST (4) is the length of PQ (16) multiplied by 1/4.

16 × 1/4 = 4.

the same factor (1/4) also applies to the other sides.

and therefore,

TU = QR × 1/4 = 19.2 × 1/4 = 19.2/4 = 4.8

F=9/5C + 32 solve for C

Answers

\(F=\frac{9}{5}C+32\)

To solve for C let us do these steps

1. Put the term of C on one side and the other terms on the other side

Subtract 32 from both sides to move the term 32 to the other side

\(\begin{gathered} F-32=\frac{9}{5}C+32-32 \\ F-32=\frac{9}{5}C \end{gathered}\)

2. Make the coefficient of C = 1

Divide both sides by 9/5

\(\begin{gathered} \frac{F-32}{\frac{9}{5}}=\frac{\frac{9}{5}C}{\frac{9}{5}} \\ \frac{5}{9}(F-32)=C \\ C=\frac{5}{9}(F-32) \end{gathered}\)

You can Multiply the bracket (F- 32) by 5/9

\(C=\frac{5}{9}F-\frac{160}{9}\)

Solve for x. making me use more letters

Solve for x. making me use more letters

Answers

Answer:

the x is 90

HOPE IT HELPED

The bake sale only sold two items. Cookies cost $2 and mini pies cost $5. Josie bought twice
as many cookies as pies and spent a total of $27. How many cookies did she buy?

Answers

she bought 11 cookies and 1 mince pie

Answer:

She bought 6 cookies and 3 mini pies.

Step-by-step explanation:

Help me urgently i have to submit a t today

Help me urgently i have to submit a t today

Answers

Answer:

6/5

Step-by-step explanation:

He reads 1.2 page every 1 minute, 1.2X15(mins)=18 page.

fins the value of (15)^3 + (-9)^3 + (-6)^3 , without actually cubing the numbers​

Answers

a³ + b³ + c³ + 3abc = ( a + b + c)(a² + b² + c² + ab + bc + ca)

if a + b + c = 0. then a³ + b³ + c³ = 3abc

here a + b + c = 15 + (-9) + (-6)

a + b + c = 15 - 15

a + b + c = 0

so a³ + b³ + c³ = 3abc

15³ + (-9)³ + (-6)³ = 3(15)(-9)(-6)

= 2430

so the answer is 2430

what is the pattern rule for 1. 25, 1, 0.75, 0.50,0.25

Answers

Answer:

-0.25n + 1

Step-by-step explanation:

Difference between all numbers: -0.25

Hence,

\(t_n = -0.25n + 1\)

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PLEASE HELP ASAP WILL GIVE BRAINLIEST Which inequality is true?

PLEASE HELP ASAP WILL GIVE BRAINLIEST Which inequality is true?

Answers

The inequality which are true is 10pi>30 option B and pi+4>7 option D

What are inequalities in maths?

In mathematics, "inequality" refers to a connection between two expressions or values that are not equal to one another.

What are the 5 types of inequality math?

In mathematics, larger than symbol (>), less than symbol (), less than or equal to symbol (), and not equal to symbol () are the five inequality symbols.

How do you solve inequality?

When resolving an inequality, you can do one of the following: • Add the same amount to each side; • Subtract the same amount from each side; • Multiply or divide each side by the same positive amount. You must flip the inequality sign if you multiply or divide either side by a negative number.

We know the value of pi is 3.14

Hence substituting the value of pi and putting it in different equations we get that

option b is 10pi>30

31.4>30

and pi+4>7 option D

7.14>7

hence, option b and d is the answer

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