An Open-Top Box Is Constructed from a Square Piece of Cardboard

question 40

Multiple Choice

An open-top box is constructed from a square piece of cardboard with sides of length 9 ft. The volume of such a box is given by , where x is the height of the box. Find the volume of the box if its height is 4 ft. ​

• A) 2.5 ft³
• B) 3.5 ft³
• C) 4 ft³
• D) 6 ft³
• E) 8.5 ft³

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Definitions:

Poisson Distribution

A statistical distribution predicting the probability of a given number of events happening in a fixed interval of time or space.

Observed Frequencies

The actual number of occurrences of events measured or recorded during a study or experiment.

Normal Distribution

A symmetric bell-shaped frequency distribution that is fully defined by its mean and standard deviation.

Intervals

Ranges between two points or values, often used in statistics to indicate the confidence or probability associated with a specific estimate.