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4 years ago

Help with #90 plz I need to figure it out

Mathematics

1 answer:

docker41 [41]4 years ago

4 0

Answer:

14.4 inches to the nearest tenth.

Step-by-step explanation:

The square has area x^2 where x is the length of each side so:

x^2 = 13

x = √13.

The perimeter is the distance all around the square and this is 4x so we have the answer 4 *√13

14.422 inches.

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66.48% of full-term babies are between 19 and 21 inches long at birth

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Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

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This means that $\mu = 20.5, \sigma = 0.9$

What percentage of full-term babies are between 19 and 21 inches long at birth?

The proportion is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19. Then

X = 21

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$Z = \frac{21 - 20.5}{0.9}$

$Z = 0.56$

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0.6648*100% = 66.48%

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