Answer asap

1.) in the year 2005, the average cost of a car could be modeled by the equation c= -15x^2 + 20x - 3 where x is the number of years since 2005. by the year 2010 the average cost had changed, and the equation could be modeled by c= -10x^2 + 30x - 2. find the difference in average cost equation for cars between 2005 and 2010.

2.) the function p(x) = 3x^2 + 4x + 5,is dilated by the function i(x) = p(2x). write the new function i(x).

3.) make a box and whisker plot of the following data. show your work as to how you calculated the different key points on the box-and-whisker plot. 21, 25, 30, 27, 22, 23, 23, 24, 26, 28, 25, 22, 23

What is (28 + 7 + 6 + 3) x 1/2 show your work

If set d is not the empty set but is a subset of set e, then which of the following is true? d ∩ e = d d ∩ e = e d ∩ e = ∅

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.