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melisa1 [442]
3 years ago
14

Simplify the exponential expression A- 5cdf B- 60cdf C- 60cdf D- 5cdf

Mathematics
1 answer:
jekas [21]3 years ago
5 0
------------------------------
(75c^2d^4f^8)/(15cd^3f^4)

75/15 x c^2d^4f^8 over cd^3f^4

5 x c^2d^4f^8 over cd^3f^4

5c^2-1d^4-3f^8-4

5c^1d^4-3f^8-4

5c^1d^1f^8-4

5c^1d^1f^4

5cd^1f^4

5cdf^4 or option A.
------------------------------
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a) 0.373 probability that a randomly selected carton has a weight greater than 8.13 ounces

b) 0.097 probability that mean weight of 16 randomly selected carton is greater than 8.13 ounces

Step-by-step explanation:

We are given the following information in the question:

Mean, μ =  8 ounces

Standard Deviation, σ = 0.4 ounce

We are given that the distribution of weights of ice cream cartons is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

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= 1 - P(z \leq 0.325)

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b) P(weight of 16 randomly selected cartons is greater than 8.13 ounces)

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