Without overlapping, how many college basketball courts 94ft x 50ft would fit into a football field 360ft x 160ft?

1 answer:

Volgvan3 years ago

7 0

Area of basketball court: 94 x 50 = 4700 square feet

area of football field: 360 x 160 = 57600 square feet

57600 / 4700 = 12.26

so 12 basketball courts

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Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

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:

$Z = \frac{X - \mu}{\sigma}$

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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