Solve
-The Volume $V ( x )$ Of a Box in Terms of Its Height

question 24

Multiple Choice

Solve.
-The volume $V ( x )$ of a box in terms of its height $x$ is given by the function $V ( x ) = 15 x ^ { 3 } + 32 x ^ { 2 } + 16 x$ . Factor this expression for $\mathrm { V } ( \mathrm { x } )$ .

• A) \(\left( 5 x ^ { 2 } + 4 \right) ( 3 x + 4 )\)
• B) \(x ( 5 x + 4 ) ( 3 x + 4 )\)
• C) \(x ( 3 x + 4 ) ( 5 x + 4 )\)
• D) \(x ^ { 2 } ( 5 x + 4 ) ( 3 x + 4 )\)

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Definitions:

Sample Average

The sum of all values in a sample divided by the number of values, providing a central tendency measure of the sample.

Population Average

The mean value calculated for a specific characteristic within a given population.

Illusion of Control

The illusion of control is a cognitive bias where individuals overestimate their ability to influence events and outcomes that are largely beyond their control.

Normal Curve

A symmetrical, bell-shaped curve that represents the distribution of many types of data where most occurrences take place around the average value.