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

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

p - 6

step-by-step explanation

so you know that it cost $6 to see a movie you subtract p - 6 to get your answer

hope this !