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Irina-Kira [14]
3 years ago
6

The table gives the probability distribution of the number of books sold in a day at a bookstore. What is the probability of 16

or more books being sold on a given day?
number of books sold in a day

0-5

6-10

11-15

16-20

21-25

probability

0.110

0.206

0.464

0.201

?
Mathematics
1 answer:
kakasveta [241]3 years ago
4 0
We are to find the probability of 16 or more books being sold on a given day. So all the categories listing the sale of more than 16 books will be counted for this problem.

From the given table we can see that there are 2 such categories:

1) 16 - 20
2) 21 - 25

To find the probability of 16 or more books sold , we need to add the probability of both these categories. Probability of selling 16 - 20 books is 0.201 and probability of selling 21 - 25 books is unknown. The given distribution is a probability distribution. So sum of probabilities of all categories must be equal to 1. So, the probability of selling 21-25 books is 0.019 only then the probabilities sum up to 1.

Thus, 
The probability that 16 or more books are sold on a give day = 0.201 + 0.019 = 0.220
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​In a small town, the stray dog population is rapidly increasing. there are currently 15 stray dogs, and it is estimated that the population will triple every year. How many dogs will there be after 1 year? 2 years? 3 years?

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405

 

Step-by-step explanation:

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soldi70 [24.7K]

Answer:

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2) Table that represents the production cost g(x), in dollars, for x number of units produced by company 2:

x        g(x)

0.6     899.58

0.8     899.52

1        899.50

1.2     899.52

1.4     899.58

3) Comparison: do a table for f(x) with the same x-values of the table for g(x).

x            f(x) = 0.05x^2 − 7x + 300    g(x)

0.6         295.818                               899.58

0.8         294.432                               899.52

1            293.05                                 899.50

1.2         291.672                               899.52

1.4          290.298                              899.58

As you can see the values of f(x) are consistently lower than the values of g(x) for the same x-values.

The minimum production cost for company 2 is around 899.50 at x = 1, while the minimum production cost of company 1 is defintely lower (lower than 292.298 for sure, in fact if you find the vertex it is 55).

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Step-by-step explanation:

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