I have a job with an average 30 minute commute, with a standard deviation of 5 minutes, with arrival times distributed normally. The work day begins at 8:00 AM. Over the course of four months, which will consist of 81 work days, I would like to arrive on time with a probability of at least 98%. What time should I leave to expect to be at work by 8:00 that often

look a the sides they are perpendicular

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.

step-by-step explanation:

hihi so drawing these 2 triangles is fairly simple. all that's left is finding the height of each one. luckily, we have a side length and an angle, so there is a trig function we can use to solve for the height. the easiest one to use would be tangent, since we have 2/3 things needed to find and the third needed is what we are solving for. tan(73°) * 30 ~= 98.13 and tan(73°) * 35 ~= 114.45