An Open Box Is to Be Made from a Square

question 23

Multiple Choice

An open box is to be made from a square piece of cardboard, 32 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below) . If the volume of the box is represented by , determine the domain of .

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Definitions:

Pooled Proportion Estimate

A method for estimating the proportion of an attribute that is common to two or more groups.

Null Hypothesis

The default hypothesis that there is no effect or no difference, and any observed difference is due to sampling or experimental error.

Population Proportions

A statistical measure that indicates the fraction of the population possessing a particular attribute or characteristic.

Normal Approximation

The process of using the normal distribution as an approximation for another distribution, commonly applied when the sample size is large.