Suppose a given control unit fails, on average, every 12,000 hours. it takes an average of 900 hours to repair and reboot this unit. the repair/reboot procedures for this unit are being reconfigured. by how much would average repair/reboot time need to be reduced to increase availability by 5 percent (assuming the control unit's average life remains unchanged)?

The answer would be -3.9> -4.5

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.