Solve the Problem $\mathrm { T } = 0.07 \mathrm { D } ^ { 1.5 }$

question 128

Multiple Choice

Solve the problem.
-The formula $\mathrm { T } = 0.07 \mathrm { D } ^ { 1.5 }$ can be used to approximate the duration of a storm, where is the time in hours and D is the diameter of the storm in miles. A storm that is $16.2$ miles in diameter is heading toward a city. How long can the residents of the city expect the storm to last? Round you answer to the nearest hundredth of an hour.

• A) \(5.79 \mathrm { hr }\)
• B) \(6.09 \mathrm { hr }\)
• C) \(4.56 \mathrm { hr }\)
• D) \(3.99 \mathrm { hr }\)

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Definitions:

Normal Curve

A bell-shaped curve that represents the distribution of a set of data that is symmetrically distributed around the mean.

Binomial Random Variable

A random variable that follows a binomial distribution, representing the number of successes in a fixed number of binary experiments.

Standard Error

A statistic that measures the accuracy with which a sample distribution represents a population by using standard deviation and sample size.

Sampling Distribution

The pattern of probability distribution associated with a particular statistic, derived from a random sample.