There are 2 cities. One of the cities allows you to pass freely in and out of it’s borders the other you must have a pass to get in or out of. There is a girl in the second city who wants to get to the first city, she does not have a pass. There is a guard at the beginning of the bridge that she must take to get to the other city, it is the only way over. The guard takes 5minute breaks. It takes 10 minutes at the fastest speed possible to cross the bridge. So if she tried to run across she would only get half way before she got caught. The girl gets across the bridge into the other city without being caught, how? PLEASE HELP!!!

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.

E. which of the following is not a possible probability? a. 25/100 b. 1.25 c. 1 d. 0

The equation line of cd is y=-2x-2. write an equation of a line parallels to line cd in slope-intercept form that contains point (4,5)