Margie is responsible for buying a week's supply of food and medication for the dogs and cats at the local animal shelter. The food and medication for each dog cost twice as much as those supplies for a cat. She needs to feed 164 cats and 24 dogs. Her budget is $4240. Create a system of equations for her situation.

Paint color preference children adults total 0.6 0.77 liked new paint color disliked new paint color 0.4 0.15 0.23 total 1.0 1.0 1.0 which value for x completes the conditional relative frequency table by column?

Which of these tools or constructions is used to inscribe a hexagon inside a circle?

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.