A submarine has three navigational devices but can remain at sea if at least two are working. suppose that the failure times are exponential with means 1 year, 1.5 years, and 3 years. formulate a markov chain with states 0 = all parts working, 1 = part 1 failed, 2 = part 2 failed, 3 = part 3 failed, 4 = two parts failed. compute e0[v4] (the expected hitting time of state 4 starting from state 0) to determine the average length of time the boat can remain at sea.

In triangle △abc, ∠abc=90°, bh is an altitude. find the missing lengths. ah=4 and hc=1, find bh.

Tom is the deli manager at a grocery store. he needs to schedule employee to staff the deli department for no more that 260 person-hours per week. tom has one part-time employee who works 20 person-hours per week. each full-time employee works 40 person-hours per week. write and inequality to determine n, the number of full-time employees tom may schedule, so that his employees work on more than 260 person-hours per week. graph the solution set to this inequality.

Use the given information to determine the exact trigonometric value.