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Norma-Jean [14]
4 years ago
10

A certain list consists of 21 different numbers. if n is in the list and n is 4 times the average (arithmetic mean) of the other

20 numbers in the list, then n is what fraction of the sum of the 21 numbers in the list?
Mathematics
1 answer:
Helen [10]4 years ago
6 0

If x is the average of "the other 20 numbers", then their sum is 20x. Adding the 21st number makes the sum of all 21 numbers be 20x +4x = 24x.

The 21st number, 4x, is 4x/(24x) = 1/6 of the total of all numbers,

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Answer:

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Step-by-step explanation:

We are given the following information in the question:

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We are given that the distribution of distribution of birth weights is a bell shaped distribution that is a normal distribution.

Formula:

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

a) P (less than 2500 grams)

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P( x < 2500) = P( z < \displaystyle\frac{2500 - 2750}{560}) = P(z < -0.4464)

Calculation the value from standard normal z table, we have,  

P(x < 2500) = P(z < -0.4464) = 0.3277 = 32.77\%

b) P ((less than 1500 grams)

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P( x < 1500) = P( z < \displaystyle\frac{1500 - 2750}{560}) = P(z < -2.2321)

Calculation the value from standard normal z table, we have,  

P(x < 1500) = P(z < -2.2321) = 0.0128 = 1.28\%

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Answer:

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Answer:

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