Choose the One Alternative That Best Completes the Statement or Answers

question 24

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
-The volume of a rectangular box with square base and a height of 5 feet is $V ( x ) = 5 x ^ { 2 }$ , where $x$ is the length of a side of the base. Find the instantaneous rate of change of volume with respect to $x$ when $x = 3$ feet.

• A) \(45 \mathrm { ft } ^ { 3 } / \mathrm { ft }\)
• B) \(30 \mathrm { ft } ^ { 3 } / \mathrm { ft }\)
• C) \(6 \mathrm { ft } ^ { 3 } / \mathrm { ft }\)
• D) \(15 \mathrm { ft } ^ { 3 } / \mathrm { ft }\)

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Definitions:

Normally Distributed

Describes a distribution of data where most observations cluster around the mean and the distribution is symmetric around the mean, forming a bell-shaped curve.

Normally Distributed

Describes a probability distribution that is symmetrical about the mean, implying that the bulk of the data points lie close to the mean.

Middle 95%

Refers to the central 95% portion of a data set or probability distribution, commonly associated with a confidence interval.

Uniformly Distributed

Describes a distribution where all outcomes are equally likely across the distribution's range.