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sattari [20]
3 years ago
8

In a single-server queuing system, if 12 customers arrive per hour with Poisson distribution and 30 customers are served per hou

r with a negative exponential distribution. The system utilization is: - 1) 0.4 2) 0.02. 3) 0.06 4) 0.27
Mathematics
1 answer:
asambeis [7]3 years ago
6 0

Answer:

0.4

Step-by-step explanation:

λ= number of arrival per unit time

μ= number of customers served per unit time

now we know that

System Utilization  = \frac{\lambda }{\mu }

in our case it is given that

λ= 12 per hour

and μ= 30 customers served per hour

therefore  system utilization=  \frac{12 }{30 }

= 0.4

hence the final answer is 0.4

hope this helps

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Wewaii [24]
B=number of ticets sold before
a=number of tickets sold after

cost of a ticket=number of tickets times cost per ticket
beforecost=39.95b
aftercost=54.95a

total cost=925000
39.95b+54.95a=925000

total number tickets=20000
b+a=20000

we have

39.95b+54.95a=925000
b+a=20000
multiply second equation by -39.95 and add to first equatin
39.95b+54.95a=925000
<u>-39.95b-39.95a=-799000 +</u>
0b+15a=126000

15a=126000
divide bot sides by 15
a=8400

sub back
b+a=20000
b+8400=20000
minus 8400 both sides
b=11600




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7 0
3 years ago
A group of students went on a field trip. The students were divided into 6 buses and each bus had less than 52 students. How man
Vikki [24]

Answer:

A maximum of 306

Step-by-step explanation:

You can estimate that since each bus had less than 52 students, that 51 were on each bus. 51 times 6=306

7 0
2 years ago
Read 2 more answers
Please help me out and answer!!!!! <br> Really struggling
e-lub [12.9K]

Answer:

D

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x, y) → (- y, x)

A translation of 3 units up → + 3 in the y- direction, that is add 3 to the y- coordinate, hence

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3 years ago
Can someone answer this for me.
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The slope for A is 2/5 and the slope for B is -2/6
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3 years ago
A box holds 42 pieces of red construction paper and 18 pieces of blue construction paper. A piece of paper is pulled out of the
dimulka [17.4K]
<u>First problem :</u>
probability to draw a red paper : 42/(42+18)=7/10

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Since for 150 trials (which will give the least error) we have got 135 yellow balls, we can expect twice as much in 300=150*2 trials, which makes 270 yellow balls.
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3 years ago
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