In an offshore pipeline, a cylindrical mechanism called a "pig" is run through the pipes periodically to clean them. these pigs travel at 2 feet per second. what is this speed, expressed in miles per hour?

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.

Afair die is cast four times. calculate the probability of obtaining exactly two 6's round to the nearest tenth of a percent

The equation of a parabola is given. y=18x2+4x+20 what are the coordinates of the focus of the parabola?