In boot camp, a cadet must use a rope swing to cross an obstacle without falling into the water hazard below. unfortunately, they miss the platform on the other side and swing back to where they started. if it takes the cadet 4.5 seconds to swing from one side of the obstacle to the other and back, how long is the rope swing? use the formula:

Can't gugys answer the ratio question. this is urgent the plans of a building is drawn toward scale of 1: 1000. kfc the foyer on the plans measures 62mm by 54mm, how large is the foyer in real life?

Which two undefined geometric terms always describe figures with no beginning or end?

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.