A manufacturer of college textbooks is interested in estimating the strength of the bindings produced by a particular binding machine. Strength can be measured by recording the force required to pull the pages from the binding. If this force is measured in pounds, how many books should be tested to estimate the average force required to break the binding to within 0.08 lb with 99% confidence? Assume that σ is known to be 0.72. (Exact answer required.)

Answers

Answer 1
Answer:

Answer:

538 books should be tested.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = (1-0.99)/(2) = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*(\sigma)/(√(n))

In which \sigma is the standard deviation of the population and n is the size of the sample.

How many books should be tested to estimate the average force required to break the binding to within 0.08 lb with 99% confidence?

n books should be tested.

n is found when M = 0.08

We have that \sigma = 0.72

M = z*(\sigma)/(√(n))

0.08 = 2.575*(0.72)/(√(n))

0.08√(n) = 2.575*0.72

√(n) = (2.575*0.72)/(0.08)

(√(n))^(2) = ((2.575*0.72)/(0.08))^(2)

n = 537.1

Rounding up

538 books should be tested.


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Answers

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To make a specific shade of green paint, Timia mixes 2 cups of blue paint with 10 cups of yellow point. How many cups of yellow paint should she mix with one cup of blue paint to make the same shade of green.

Answers

Answer:

1 cup of blue paint required 5 cups of yellow paints

Step-by-step explanation:

Given

2 cups of blue = 10 cups of yellow

Required

Determine the number of cups of yellow for 1 cup of blue paint

The given parameter shows a linear relationship between paints of blue and paints of yellow

We have:

2 cups of blue = 10 cups of yellow

Multiply both sides by 0.5

0.5* 2 cups of blue = 0.5* 10 cups of yellow

1 cup of blue = 5 cups of yellow

Hence;

1 cup of blue paint required 5 cups of yellow paints

I need some help with this calculus 1 implicit diffrention problem?

Answers

Answer:

y" = -24 / y³

Step-by-step explanation:

6x² + y² = 4

Take the derivative of both sides with respect to x.

12x + 2y y' = 0

Again, take the derivative of both sides with respect to x.

12 + 2y y" + y' (2y') = 0

12 + 2y y" + 2(y')² = 0

Solve for y' in the first equation.

2y y' = -12x

y' = -6x/y

Substitute and solve for y":

12 + 2y y" + 2(-6x/y)² = 0

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12 + 2y y" + 72x²/y² = 0

6y² + y³ y" + 36x² = 0

y³ y" = -36x² − 6y²

y" = (-36x² − 6y²) / y³

Solve for y² in the original equation and substitute:

y² = 4 − 6x²

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How many quarts of water does Paul need to add to keep theconsistency of the concrete the same? Complete the ratio square
Plzzz help!!!

Answers

Answer:

6

Step-by-step explanation:

i took the quiz

Answer:

  • Step-by-step explanation:

The table shows data for orders of cheese. Multiply each number of pounds of cheese in the table below by its frequency.Drag the tiles to complete the table. The first one is done as an example. Each tile may be used once, more than once, or not at all.

123456


Pounds Frequency Multiplication
1
4
1
4

4
4
1
1

3
4
3
4

8
8
1
1
4
1
1
4

4
4

Answers

Answer:

Part One:

Pounds Frequency Multiplication

1/4           4                       1  

3/4           8                       6  

1 1/4        4                        5

1 1/2       2                        3

Part Two:

The total number of pounds of cheese ordered is 15 pounds