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Zolol [24]
3 years ago
7

I need help ASAP I’ll give brainliest to that person :)

Mathematics
1 answer:
guajiro [1.7K]3 years ago
6 0

Volume of sphere = 4/3 x pi x r^3

904.32 = 4/3 x pi x r^3

Divide both sides by 4/3

678.4 = pi x r^3

Divide both sides by pi:

216 = r^3

Take the cubic root of both sides

R = 6

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0.0076 = 0.76% probability that all five plants emerged from treated seeds

Step-by-step explanation:

The plants were chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes 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 successes.

N is the size of the population.

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k is the total number of desired outcomes.

Combinations formula:

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C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

6 + 6 = 12 seeds, which means that N = 12

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Five sprouted, which means that n = 5

What is the probability that all five plants emerged from treated seeds?

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P(X = 5) = h(5,12,5,6) = \frac{C_{6,5}*C_{6,0}}{C_{12,5}} = 0.0076

0.0076 = 0.76% probability that all five plants emerged from treated seeds

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