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3241004551 [841]
4 years ago
5

12. Ms. Smith keeps eight different cookbooks on a shelf in one of her kitchen cabinets. How many ways can the eight cookbooks b

e arranged on the shelf?
Mathematics
1 answer:
Ghella [55]4 years ago
6 0

Answer:

The number of ways are 40320.

Step-by-step explanation:

Consider the provided information.

Ms. Smith keeps eight different cookbooks on a shelf in one of her kitchen cabinets.

We need to determine the number of different ways to put eight cookbooks on the shelf.

We need to select 8 cookbooks taking 8 at a time.

So use the permutation formula: ^{n}P_{n}

Substitute n=8 and simplify.

^8P_8=\frac{8!}{(8-8)!}\\8!=40320

Hence, the number of ways are 40320.

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a coin lands on heads 200 times. the relative frequency of heads is 0.4. how many times was the coin thrown?
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Answer:

The number of times coin thrown was <u>500</u>.

Step-by-step explanation:

Given:

A coin lands on heads 200 times. the relative frequency of heads is 0.4.

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Let the number of times coin thrown was be x.

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So, to get the number of times coin was thrown we put formula:

Relative\ frequency=\frac{Number\ of\ lands\ on\ heads}{Number\ of\ times\ coin\ thrown}

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<em>By cross multiplying we get:</em>

0.4x=200

<em>Dividing both sides by 0.4 we get:</em>

x=500.

Therefore, the number of times coin thrown was 500.

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