According to the Center for Disease Control and Prevention, there were 27,288 reported cases of tick-borne illnesses in 2004. In 2016, there were 96,075 reported cases.
(a) Find the average rate of increase in reported cases of tick-borne illnesses from 2004 to
2016, rounded to the nearest whole number. Be sure to include the proper units for your
answer.
(b) Write the formula of a linear model for cases of tick-borne illnesses in the U. S.
(c) Show how to use your linear model to predict the number of tick-borne illnesses in the
U. S. in 2021.
(d) Show how to set up and solve an equation to predict the first year that there will be at
least six times as many tick-borne illnesses in the U. S. as there were in 2004.

If 25% of y is 30, what is 60% of y?

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.

Jessie sorted the coins in her bank she made 7 stacks or 6 dimes and 8 stacks of 5 nickels she then found 1 dime and 1 nickel how many dimes and nickels dose jessie have in all?