Problem 15-7 (algorithmic) speedy oil provides a single-server automobile oil change and lubrication service. customers provide an arrival rate of 4 cars per hour. the service rate is 5 cars per hour. assume that arrivals follow a poisson probability distribution and that service times follow an exponential probability distribution. what is the average number of cars in the system? if required, round your answer to two decimal places

There are 4 average cars in the system.

Step-by-step explanation:

Since we have given that

Arrival rate = λ = 4 cars per hour

Service rate = μ = 5 cars per hour

We need to find the average number of cars in the system.

So, Average number of cars would be

So, it becomes,

Hence, there are 4 average cars in the system.

idk

step-by-step explanation:

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.