Every morning I take either bus number 5 or bus number 8 to work. Every morning the waiting time for the number 5 is exponential with mean 10 minutes, while the waiting time for the number 8 is exponential with mean 20 minutes. Assume all waiting times are independent of each other. Let Sn be the total amount of bus-waiting (in minutes) that I have done during n mornings, and let Tn be the number of times I have taken the number 5 bus during n mornings. a. Find the limit PS( Sn <= 7n)
b. Find the limit lim P(Tn >= 0.6n).

black lol

step-by-step explanation:

h

i can tell you jamal now has 3 cookies xd

tommy has 2.

this made me lol.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.