Diana is a homebound teacher who charges $45 per hour plus an additional flat fee of $20 for travel. the equation that represents this situation is y = 45x + 20, where x represents the number of hours of classes and y represents the total cost. another teacher, paula, creates a graph comparing the total amount diana charges for a session and the total amount she charges for a session. paula finds her graph is shifted below diana's line, and her line is also steeper than diana's line. select the true statement. a: paula charges less per hour and has a lower travel fee. b: paula charges more per hour but has a lower travel fee. c: paula charges less per hour but has a higher travel fee. d: paula charges more per hour and has a higher travel fee.

Graph y = -|x| + 2. click on the graph until the correct one appears.

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.

What is 0.368,0.380,0.365,and 0.383 in order from least to greatest