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4 years ago

Radius of the circle is 12 miles. What is the circumference?

Mathematics

1 answer:

Drupady [299]4 years ago

3 0

Answer:

The circumference of the circle is 75.36 miles

Step-by-step explanation:

Given

Radius, r = 12 miles.

Circumference is calculated using the following formula.

C = 2πr

take π as 3.14

substitute 12 for r in the formula above.

C = 2 * 3.14 * 12

C = 75.36 miles.

The circumference of the circle is 75.36 miles

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3 years ago

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3 years ago

8.52 The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches

sweet [91]

Answer:

Heights of 29.5 and below could be a problem.

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.

The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches.

This means that $\mu = 32, \sigma = 1.5$

There may be a problem when a child is in the top or bottom 5% of heights. Determine the heights of 2-year-old children that could be a problem.

Heights at the 5th percentile and below. The 5th percentile is X when Z has a p-value of 0.05, so X when Z = -1.645. Thus

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$increased: add/addition ( + ) \\ Number: z$

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3 years ago

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Answer:

Step-by-step explanation:

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