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 number of arirvals per time period
 is the average number of people being served per 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
. 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
 
        
             
        
        
        
Answer:
no she is wrong
Step-by-step explanation:
7a-4+3a-6=  10a-10 therefore they are not equal
 
        
                    
             
        
        
        
Answer:
y =  +3
+3
Step-by-step explanation:
 
        
             
        
        
        
Answer:
<em>Rate of Pratap in still water is 4.5 miles/hour and rate of current is 0.5 miles/hour.</em>
Step-by-step explanation:
Pratap Puri rowed 10 miles down a river in 2 hours, but the return trip took him 2.5 hours. 
We know that, 
So, the <u>speed of Pratap with the current</u> will be:   miles/hour
 miles/hour 
and the <u>speed of Pratap against the current</u> will be:   miles/hour.
 miles/hour. 
Suppose, the rate of Pratap in still water is  and the rate of current is
 and the rate of current is  .
. 
So, the equations will be........

Adding equation (1) and (2) , we will get......

Now, plugging this  into equation (1), we will get.....
 into equation (1), we will get.....

Thus, Pratap can row at 4.5 miles per hour in still water and the rate of the current is 0.5 miles/hour.