The area of the bottom of a circular pool 452.2 ft2. What is its circumference, rounded to the nearest tenth?

1 answer:

8 0

The area of a circle is given by A=Pi*r^2, and its perimeter, P=2*Pi*r.

To get the radius r, you must divide 452.2 by Pi, and then calculate the square root of this quotient.

To get the circumference or perimeter, use the radius in the formula P=2*Pi*r.

Finally, round the number you get to the nearest tenth.

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A bowling leagues mean score is 197 with a standard deviation of 12. The scores are normally distributed. What is the probabilit

Bond [772]

Answer:

0.281 = 28.1% probability a given player averaged less than 190.

Step-by-step explanation:

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.

A bowling leagues mean score is 197 with a standard deviation of 12.

This means that $\mu = 197, \sigma = 12$