After being involved in a car accident last month, ralph’s insurance company has increased his annual premium by $105.38. approximately what change will ralph see on his future monthly statements as a result of the change?
a.
ralph’s monthly insurance payment will not change.
b.
ralph’s monthly insurance payment will increase by $8.78.
c.
ralph’s monthly insurance payment will increase by $17.56.
d.
ralph’s monthly insurance payment will increase $105.38.

Which of these tables represents a non-linear function?

If f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x)

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.