Elisa and Katy are both traveling to Europe. Elisa paid $820 for her plane ticket and $110.50 per night for
her hotel. Katy paid $1,205 for her plane ticket and
$75.50 per night for her hotel. they each spent the same number of nights in their hotels. the two women each spent the same total amount for airfare and lodging during their trips. set up a system of equations to model the amount of money elisa and Katy spend on airfare and lodging during their trips let x represent the number of nights spent in a hotel let E represent the total amount elisa spends and let k represent the total amount katy spends

F(x) = 1/x g(x)=x-4 can you evaluate (g*f)(0) ? why or why not?

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.

Heather is a cashier. she can ring up 1212 customers in 99 minutes. at this rate, how many minutes does it take her to ring up 44 customers?