A teacher randomly chooses a two-person team from a group of four students. The first person chosen will be the presenter and the second person will be the researcher. Two of the students, Amir and Aaron, are boys. The other two students, Caitlin and Deniz, are girls. All the possible outcomes of the team selection are listed below. If we take outcomes 2 3 5 6 7 8 10 2,3,5,6,7,8,10,2, comma, 3, comma, 5, comma, 6, comma, 7, comma, 8, comma, 10, comma and 11 1111 as a subset of the sample space, which of the statements below describe this subset? Choose all answers that apply: Choose all answers that apply: (Choice A) A The subset consists of all the teams not made up of all boys and not made up of all girls. (Choice B) B The subset consists of all the teams made up of one boy and one girl. (Choice C) C The subset consists of all the teams having a girl as the presenter and a boy as the researcher. (Choice D) D The subset consists of all the teams made up of either all boys or all girls.

Mr switzer needs to buy new 1-foot tiles to cover his bathroom floor. the floor is 12 feet long and 8 feet wide. each square foot of tile will cost $1.79. in dollars what will be the total cost of the tiles he needs to buy.

Which shows a reasonable estimation for 124% of 42 using the distributive property?

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.