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Gala2k [10]
3 years ago
6

34 of 136 in fraction form

Mathematics
1 answer:
solong [7]3 years ago
8 0

Answer:

\frac{1}{4}

Step-by-step explanation:

One of the methods is to first split the face and the denominator of the fraction into first bases:

\frac{34}{136}  =  \frac{2 \times 17}{2 {}^{3}  \times 17}

Let's simplify:

\frac{2}{2 {}^{3} }  =  \frac{1}{4}

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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 = \frac{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*\frac{\sigma}{\sqrt{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?

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n is found when M = 0.08

We have that \sigma = 0.72

M = z*\frac{\sigma}{\sqrt{n}}

0.08 = 2.575*\frac{0.72}{\sqrt{n}}

0.08\sqrt{n} = 2.575*0.72

\sqrt{n} = \frac{2.575*0.72}{0.08}

(\sqrt{n})^{2} = (\frac{2.575*0.72}{0.08})^{2}

n = 537.1

Rounding up

538 books should be tested.

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