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Degger [83]
3 years ago
11

(show the work please)

Mathematics
1 answer:
stiv31 [10]3 years ago
5 0
Convert the mixed number into an improper fraction.

3 1/2 x 2 : 16/5 x 2

Calculate the product!

16/5 x 2 : 32/5

Solution: 32/5, (Alternative Forms: 6 2/5, 6.4)

Hope this helps!
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A bag contains some number of marbles. It is known that 20 of them are red. When 15 marbles are drawn, without replacement, we g
Llana [10]

Answer:

The total number of marbles in the bag is 50.

Step-by-step explanation:

Here, we have n trials, without replacement. So the hypergeometric distribution is used.

The mean of the hypergeometric distribution is:

E(X) = \frac{n*k}{N}

In which n is the number of items in the sample, k is the number of items in the population that are classified a success and N is the size of the population.

15 marbles are drawn:

This means that n = 15

A bag contains some number of marbles. It is known that 20 of them are red.

This means that k = 20, since a success is drawing a red marble.

Assuming E(X)=6 red, what is the total number of marbles in the bag?

We have to find N when E(X) = 6

So

E(X) = \frac{n*k}{N}

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6N = 300

N = \frac{300}{6}

N = 50

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