Monica works on a temporary basis. the mean length of each job she gets is 11 months. if the amount of time she spends between jobs is exponential with mean 3 months, then in the long run what fraction of the time does she spend working?

11/14

Step-by-step explanation:

Since the job and jobless cycles of Monica will follow an alternating renewal process,

Let

Ji=duration of i-th job period

Li=duration of i-th jobless period

E(Ji)=11 and E(Li)=3

Hence,

The fraction of the time does she spend working in long run is given by the formula =E(Ji) / (E(Ji)+E(Li))

=11/(11+3)

=11/14

step-by-step explanation:

assume that you have 3 different side lengths.   apply the pythagorean theorem here:   square each of the two shortest sides; call them a and b, so that their squares are a² and b².   also square the longest side, calling the result c².

now, if a² + b² = c² is true, the triangle is a right triangle; otherwise it is not a right triangle.