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podryga [215]
3 years ago
12

The weights of the fish in a certain lake are normally distributed with a mean of 12 lb and a standard deviation of 12. If 16 fi

sh are randomly selected, what is the probability that the mean weight will be between 9.6 and 15.6 lb?
Mathematics
1 answer:
erastova [34]3 years ago
6 0

Answer:

If 4 fish are randomly selected, what is the probability that the mean weight will be between 9.6 and 15.6 lb? Round your answer to four decimal places.

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Answer:

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Step-by-step explanation:

Solve for y over the real numbers:

11 y^2 - 19 y - 10 = -4 y^2

Add 4 y^2 to both sides:

15 y^2 - 19 y - 10 = 0

The left hand side factors into a product with two terms:

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Split into two equations:

3 y - 5 = 0 or 5 y + 2 = 0

Add 5 to both sides:

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Divide both sides by 3:

y = 5/3 or 5 y + 2 = 0

Subtract 2 from both sides:

y = 5/3 or 5 y = -2

Divide both sides by 5:

Answer: |

| y = 5/3 or y = -2/5

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