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Vinvika [58]
3 years ago
11

A piece of wood is 1.75 meter long A carpenter saws off 0.8 meter from it. Then he saws the remaining piece into 2 pieces of equ

al length. How long is each of the equal pieces?
Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
5 0
1.75-0.8= 0.95m
0.95/2. to get equal halves would be 0.475m just under half a meter
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31.82% probability that you will receive 2 apples.

Step-by-step explanation:

The fruits are removed from the bag, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

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In this question:

5 + 7 = 12 total fruits, which means that N = 12

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What is the probability, in percent, that you will receive 2 apples, assuming she removes them from the bag in random order?

This is, as a proportion, P(X = 2). So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 2) = h(2,12,2,7) = \frac{C_{7,2}*C_{5,0}}{C_{12,2}} = 0.3182

0.3182*100% = 31.82%

31.82% probability that you will receive 2 apples.

4 0
3 years ago
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