Scale factor: 1:4 Area a
30 square om
Scale drawing
Object
O A. 30 square cm
O B3 120 square cm
OC. 24 square cm
O D. 480 square cm

D(5, 7). e(4,3), and f(8, 2) form the vertices of a triangle. what is mzdef? oa. 30° ob. 45° oc. 60° od 90°

Question 9 of 10 2 points suppose your sat score is 1770. you look up the average sat scores for students admitted to your preferred colleges and find the list of scores below. based on your sat score of 1770, which average score below represents the college that would be your best option? o a. 1790 o b. 2130 o c. 2210 od. 1350

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.