Answer:
The average number of customers in the system is 3.2
Step-by-step explanation:
The average number of customes in the system is given by:

In which
is the number of arirvals per time period
is the average number of people being served per period.
The number of arrivals is modeled by the Poisson distribution, while the service time is modeled by the exponential distribution.
Customers arrive at the stand at the rate of 28 per hour
This means that 
Service times are exponentially distributed with a service rate of 35 customers per hour.
This means that
. So
The average number of customers in the system (i.e., waiting and being served) is


The average number of customers in the system is 3.2
6 1/2
First you find a common denominator. 1/4 = 3/12 and 1/3 = 4/12.
3/12 + 4/12 + 11/12 = 18/12.
18/12 = 6 6/12 = 6 1/2
Yesterday, the store made $10,500 in sales
Answer:
The area is 78.5, the farmer does have enough space to plant his vegetables
Step-by-step explanation:
To find the area, you need to use the formula, A=πr², (make sure the diameter is turned into the radius by dividing by 2, in this case, it's 5 as the radius)
Plug in your numbers, A= 3.14(5)²
A= 3.14(25)
The area is 78.5
So the farmer does have enough space to plant his vegetables since 78.5 is greater than 25