1. The members of Troop 1421 are in the midst of their annual fundraiser. The troop has a set amount of money that each member is expected to raise. The table shows the amount of money each member has
raised with respect to her goal. Order the troop members by the amount of money raised, from the least to
the greatest?

In the diagram, the measure of angle 9 is 85° which angle must also measure 85°?

The radius of a sphere is 3 inches. which represents the volume of the sphere?

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.