Joshua Vermier of Sacramento, California, received a raise after his first year on the job to $45,400 from his initial salary of $42,400. What was Joshua’s raise stated as a percentage? Inflation averaged 3.2 percent for the year. Round your answer to one decimal place. %

What was his real income after the raise? Round your answer to nearest cent.

$

What was his real raise stated as a percentage? Round your answer to one decimal place.

%

According to the data set, where should the upper quartile line of the box plot be placed?

Which is the graph of this function 3 square root of x plus one if

Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.