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gladu [14]
3 years ago
15

Rewrite the expression by factoring out (u-8).3u^2(u-8)-2(u-8)

Mathematics
1 answer:
RideAnS [48]3 years ago
6 0

Answer:

The rewritten expression is (u - 8)(3u^2 - 2)

Step-by-step explanation:

We are given the following expression:

3u^2(u - 8) - 2(u - 8)

Factoring out (u-8)

Place (u-8) to the front, and then divide each term by (u-8). So

3u^2(u - 8) - 2(u - 8) = (u - 8)\left[\frac{3u^2(u - 8)}{u - 8} - \frac{2(u-8)}{u - 8}\right] = (u - 8)(3u^2 - 2)

The rewritten expression is (u - 8)(3u^2 - 2)

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Answer:

The  probability that a watermelon will weigh between 6.8 lbs and 9.3 lbs.

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Step-by-step explanation:

Step 1:-

by using normal distribution find the areas of given x₁ and x₂

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μ = 8

standard deviation σ = 1.5

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ii)  when x₂ = 9.3 lbs and  μ = 8 and  σ = 1.5

z_{2}  = \frac{x_{2} -mean}{S.D} = \frac{9.3-8}{1.5} = 0.866>0

<u>Step2</u>:-

The probability that a watermelon will weigh between 6.8 lbs and 9.3 lbs.

P(6.8 ≤X≤9.3) = A(z₂) - A(-z₁)

                      = A(0.866) - A(-0.8)

                       =  A(0.866)+ A(0.8)

check below normal table

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                      = 0.5932

<u>Conclusion</u>:-

The probability that a watermelon will weigh between 6.8 lbs and 9.3 lbs.

P(6.8 ≤X≤9.3) = 0.5932

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