An aircraft flies round a triangular course. The first leg is 200 km on a bearing of 115°
and the second leg is 150 km on a bearing of
230°. How long is the third leg of the course
and on what bearing must the aircraft fly?​

Little’s law firm has just one lawyer. customers arrive randomly at an average rate of 6 per 8 hour workday. service times have a mean of 50 minutes and a standard deviation of 20 minutes. how long does a customer spend at little’s law firm on average?

What is the solution to the equation below? 3/x-2+6=square root x-2 +8

Let x have probability generating function gx (s) and let un generating function u(s) of the sequence uo, u1, satisfies p(x > n). show that the (1- s)u(s) = 1 - gx(s), whenever the series defining these generating functions converge.