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
Answer:
S = v1 t1 = 7 t1 traveling downstream
S = v2 t2 = 5 t2 traveling upstream
7 t1 = 5 t2
7 (6 - t2) = 5 t2 since t1 + t2 = 6
42 - 7 t2 = 5 t2
t2 = 42 / 12 = 3.5 hrs so t1 = 2.5 hrs
S = 7 t1 = 7 * 2.5 = 17.5 mi
Also, S = 5 t2 = 5 * 3.5 = 17.5 mi
Answer:
$817.60
Step-by-step explanation:
Simple interest has the formula:
Simple Interest = Principal * rate * time
here,
Principal amount is $730
The rate of interest is 3%, which is 3/100 = 0.03
The time length in years is given as 4
We find the interest amount first:
SI = P * r * t
SI = 730 * 0.03 * 4
SI = 87.6
We are asked to find FINAL BALANCE, which is PRINCIPAL + INTEREST
So,
Final Balance = 730 + 87.6 = $817.60
Answer:
x>−72 or x<−132
Step-by-step explanation:
I believe that is the answer
Answer:
Candidate receives 2250 votes
Step-by-step explanation:
Ratio of votes A : B = 75 : 25 = 3 : 1
3 : 1 = x : 750
Product of means = Product of extremes
1 *x = 3*750
x = 3 *750
= 2250