The number of bacteria in a culture is given by the formula: B(t) = 2,000,000e -0.025t
where B is the number of bacteria 1 days later. After how many days will more than half of
the bacteria be eliminated?

Which of the following is most likely the next step in the series? a3z, b6y, c9x, d12w, е15v, f18u

Justin has 750 more than eva and eva has 12 less than justin together they have a total of 63 how much money did

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.