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Kisachek [45]
3 years ago
12

A small diner has one employee and a counter with seating for 8 customers. The diner does not package food for takeout. Customer

s arrive at the diner at the rate of 20 per hour (Poisson distributed). Service times are exponentially distributed and average 24 per hour. Customers that arrive when all seats are taken do not enter the diner. What is the average number of customers waiting (average queue length)
Mathematics
1 answer:
marissa [1.9K]3 years ago
6 0

Answer:

12 customers are waiting each hour to enter the diner

Step-by-step explanation:

20 customers arrive each hour to the diner. 8 customers ocuppy the seats each hour, and 12 are left waiting outside.

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2 5/16 divided into 7/8 equals what
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Answer:

4 1/14

Step-by-step explanation:

2 5/16=57/16

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57/16*8/7=57/2*7=57/14=4 1/14

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Help me with these 3 and explain too thank you :))
xz_007 [3.2K]

Answer:

1) 25

2) 2

3) f(g(1)) = 42

Step-by-step explanation:

1) Given that f(x) = 4x^2  + 9

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f(-2) = 4(-2)^2 + 9

f(-2) = 4(4) + 9

f(-2) = 16 + 9

f(-2) = 25

2) Given that f(x) = 4x - 6

y = 4x - 6

Replace y  with x

x = 4y - 6

MAke y the subject of the forfmula

4y = x+ 6

y = (x+6)/4

SInce x = 2

f^(-1)(2) = (2+6)/4

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3) If f(x) = 6x and g(x) = x+6

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3 years ago
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