MATHEMATICS COLLEGE

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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B. 6•2

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Answers

Answer:

Step-by-step explanation:

Answer:

C. 2•2•2•2•2•2

Step-by-step explanation:

Exponents show how many times a number is being multiplied by itself.

For $2^6$ you would have to multiply 2 by itself 6 times. Thus getting 64 in the end.

If possible work is needed

Answers

The perimeter of the given figure is 29.7 ft while the area is 63.25 ft².

What is area?

The area is the amοunt οf space within the perimeter οf a 2D shape. It is measured in squareunits, such as cm², m², etc.

Yοu can think οf area as the area inside a given shape οr space. It refers tο hοw much space is taken up. The larger the shape, the larger the area and perimeter οf the shape will be. Nοt tο be cοnfused with vοlume, area οnly refers tο space taken up by a flat οr 2Dοbject.

The perimeter is sum of all sides

Here,

sum of all sides = 1/2 × 2πr + 6 + 8

= 1/2 × (2×3.14×5) + 6 + 8

= 29.7 ft

Area = 1/2 × πr² + 1/2 × 8 × 6

= 1/2 × (3.14×5×5) + 1/2 × 8 × 6

= 63.25 ft²

Thus, the perimeter of the given figure is 29.7 ft while the area is 63.25 ft².

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Find the difference using fraction bars or a paper and pencil. Write your answer in simplest form. 7/8 - 3/4

Answers

Answer:

the answer would be 1/8

7/8-3/4

7/8-6/8

1/8

Find the surface area of the cone in terms of pie 18 height 12 radius

Answers

144π cm²

Answer:

Solution given:

diameter (d)= 12cm

radius (r)=12/2=6 cm

slant height(l)=18cm

Now

Total surface area of cone=πr(r+l)π*6(6+18)=144π cm²

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B. 5x5x5x5x5x5x5
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Answers

Answer:

Step-by-step explanation:

you are multiplying 7 by its self 5 times

Final answer:

75 does not equal any of the options provided in the question. The calculations for each option yield numbers that are either larger or smaller than 75.