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Juli2301 [7.4K]
3 years ago
14

The local grocery store has sorted apples by size. The distribution is approximately normal. The large apples have a mean diamet

er of 10 cm with a standard deviation equal to 0.5 cm. In a bin of 100 large apples, how many can be expected to have a diameter greater than 11.5 cm, three standard deviations above the mean?
Mathematics
1 answer:
NikAS [45]3 years ago
3 0

Answer:

0

Step-by-step explanation:

Approximately 0.2% of the apples will be more than three standard deviations above the mean size. In a bin of 100 apples, 0.2% of 100=0.2% apples, this rounds down to zero apples that size or larger. (In a bin of 500 apples, there could be one apple of that size.)

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Answer:

We conclude that:

\left(x-8\right)^2+16=x^2-16x+80

Step-by-step explanation:

Given the equation

\left(x-8\right)^2\:+\:16

First, solve (x - 8)²

Apply Perfect Square formula:    (a - b)² = a² - 2ab + b²

a=x,\:\:b=8

\left(x-8\right)^2=x^2-2x\cdot \:\:8+8^2

             =x^2-16x+64

so the expression becomes

\left(x-8\right)^2+16=x^2-16x+64+16

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Therefore, we conclude that:

\left(x-8\right)^2+16=x^2-16x+80

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