A Box Is to Be Made from a Rectangular Piece $$V = x ( 28 - 2 x ) ( 54 - 2 x )$$

question 212

Multiple Choice

A box is to be made from a rectangular piece of cardboard by cutting a square from each corner and folding up the sides. The rectangular piece of cardboard is originally 28 inches long and 54 inches wide, and the squares
Removed from the corners are x inches wide. The volume of the box is given by the function $$V = x ( 28 - 2 x ) ( 54 - 2 x )$$ What restrictions must be placed on x to satisfy the conditions of this model? In other
Words, what is the domain of this function?

• A) \(x > 14\)
• B) \(0 < x < 27\)
• C) \(0 < x < 14\)
• D) \(x > 0\)

Understand the interpretation and correct usage of the level of confidence and significance level (α).

Calculate and interpret the margin of error in the context of confidence intervals.

Recognize how changes in sample size and population standard deviation affect the confidence interval.

Understand the meaning and implications of a confidence level in the context of interval estimation.