RetroFitness and NY Sportsclub are two gyms in the tri-state area that are being sponsored by the local newspapers. There was a study that was done to see the growth of both gyms based on x, the number of years the gym has been opened, and y, the number of members within the gym. The equations to represent
the number of members based on number of years opened for each gym is shown below.
RetroFitness: y = 90x+ 200
NY Sportsclub: y = 100x + 100

Planning for the possibility that your home might get struck by lighting and catch on fire is part of a plan for ?

There were 25 students who answered to a survey about sports. four-fifths of them like football. how many students like football?

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.