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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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Answer:

Perpendicular bisector

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3 years ago
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What percent of 17 is 51?
Taya2010 [7]

Answer:

33%

Step-by-step explanation:

h steps:

Step 1: We make the assumption that 51 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $100\%=51$.

Step 4: In the same vein, $x\%=17$.

Step 5: This gives us a pair of simple equations:

$100\%=51(1)$.

$x\%=17(2)$.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{51}{17}$

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{17}{51}$

$\Rightarrow x=33.33\%$

Therefore, $17$ is $33.33\%$ of $51$.

4 0
2 years ago
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What is 42÷(15-2 by the power of 3<br><img src="https://tex.z-dn.net/?f=42%20%5Cdiv%2815%20-%202%20%7B%7D%5E%7B3%7D%20%29" id="T
tigry1 [53]
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3 years ago
Combining like terms<br><br> simplify the expression<br> n - 10 + 9n - 3
ohaa [14]
N-10+9n-3
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so the answer is....
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natka813 [3]
First, let's make these two into equations.
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Our equation would then be
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where C is the total cost, and m is the number of miles driven.
The second plan has an initial fee of $51 and costs an additional $0.11 per mile driven.
So, the equation is
C = 51 + 0.11m
where C is the total cost, and m is the number of miles driven.
Now, your question seems to be asking for one mileage for both, equalling one cost. I would go through all the steps I've taken to try and find this for you, but it would probably take hours to type out and read. In short, I'm not entirely sure that an answer like that is possible in this situation, simply because of the large difference in the initial fee of the two plans, along with the sparse common multiples between the two mileage costs.
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