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s344n2d4d5 [400]
3 years ago
14

What's the scientific notation for 0.3643

Mathematics
1 answer:
Annette [7]3 years ago
7 0
The answer to the question is as the following.

3.643 * 10^(-1)
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The director of the library believes that 14% of the library's collection is checked out. If the director is right, what is the
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Answer: 0.2643

Step-by-step explanation:

Let p be the population proportion and \hat{p} be the sample proportion .

As per given question , we have

p=0.14\\\\ \hat{p}=0.13\\\\ n=478

z-score : \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

z=\dfrac{0.13-0.14}{\sqrt{\dfrac{0.14(1-0.14)}{478}}}\\\\=-0.630087269176\approx-0.63

The required probability ( using z-table ):-

P(z

Hence, the probability that the proportion of books checked out in a sample of 478 books would be less than 13% = 0.2643

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