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goldfiish [28.3K]
3 years ago
14

There are 8 books in a shelf that consist of 2 paperback books and 6 hardback books. If 4 books are selected at random without r

eplacement, how many different combinations are there that at least one paperback book is selected?A. 40B. 45C. 50D. 55E. 60
Mathematics
1 answer:
mixer [17]3 years ago
4 0

Answer:D

Step-by-step explanation:

This is combination.

If 4 books selected out of eight book in the shelf:

(4 combination 8)= 70

For hardback selection:

Then selection of 4 books out of the hardback, it means there is no paperbach will be:

(4 combination 6)= 15

So , if at least one paperback selected will be : 70-15

That is 55

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The fish population in a certain lake rises and falls according to the formula F = 3000(23 + 11t − t2). Here F is the number of
Gemiola [76]

Answer:

a) On January 1, 2017 the fish population will be the same as the initial population.

b) On September 18th, 2018 the fish population will be zero.

Step-by-step explanation:

Hi there!

a) First, let´s write the function:

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The population on January 1, 2006 is the population at t = 0. Then:

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This will be the population every time at which t² - 11t = 0. Then let´s find the other value of t (besides t = 0) that makes that expression to be zero:

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All the fish will have died after 12 years, 9 months and 18 days from January 1, 2006. That is, on September 18th, 2018.

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3 years ago
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