James is researching earthquakes for a science report. He is trying to come up with his own scale to rank the intensity of an earthquake. He notices that the difference in the intensity of the smallest earthquake, x, and the largest earthquake, y, is a magnitude of several hundred thousand. James comes up with a scale that allows him to show these differences and is easy to use and interpret.

Predict which statements are true about the intervals of the continuous function. check all that apply

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.

Find four solutions of the given function. write the solutions as ordered pairs. 4x – y = 4