Assume that a study of 500 randomly selected school bus routes showed that 482 arrived on time. Is it “unusual” for a school bus to arrive late? (Hint: an event is considered “unusual” if its probability is less than or equal to 0.05)

Suppose that the price p (in dollars) and the weekly sales x (in thousands of units) of a certain commodity satisfy the demand equation 4p cubedplusx squaredequals38 comma 400. determine the rate at which sales are changing at a time when xequals80, pequals20, and the price is falling at the rate of $.20 per week.

The sat and act tests use very different grading scales. the sat math scores follow a normal distribution with mean 518 and standard deviation of 118. the act math scores follow a normal distribution with mean 20.7 and standard deviation of 5. suppose regan scores a 754 on the math portion of the sat. how much would her sister veronica need to score on the math portion of the act to meet or beat regan's score?

Find the roots of the polynomial function f(x) = x^3 + 2x^2 + x