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Ganezh [65]
3 years ago
15

A suburban specialty restaurant has developed a single drive-thru window. Customers order, pay, and pick up their food at the sa

me window. Arrivals follow a Poisson distribution, while service times follow an exponential distribution. If the average number of arrivals is 6 per hour and the service rate is 3 every 15 minutes:What is the average number of customers in the system?
A. 0.50B. 1.00C. 2.25D. 3.00E. None of the above
Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
8 0

Answer:  Option 'c' is correct.

Step-by-step explanation:

Since we have given that

Average number of arrivals = 6 per hour

Service rate = 3 every 15 minutes

Service rate is given by

\mu=\dfrac{60\times 3}{15}=12

So, the average number of customers in the system is given by

\dfrac{\mu}{\mu-\lambda}\\\\=\dfrac{6}{12-6}\\\\=\dfrac{6}{6}\\\\=1

Hence, Option 'c' is correct.

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tekilochka [14]

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4 years ago
Janet made 6 dollars an hour baby sitting for her neighbors and 8 dollars an hour raking leave for her uncle. she babysat and ra
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3 years ago
PLZ HELP!!!
dexar [7]

Solution:

The given equation is:

3^2 x + 7^2= 2 ^x\\\\9 x +49 =2^x

A: Taking , x=1

L H S = 9 × 1  + 49 = 9 + 49= 58

R H S : 2^x=2^1=2

L H S ≠   R H S

B: Taking x=3

L H S = 9 × 3 + 49=27 + 49=76

R HS = 2^x = 2^3 = 8

L H S ≠  R H S

C: Taking x=5

L H S = 9 × 5 + 49

        = 45 + 49

       = 94

R H S:

2^x=2^5=32

L H S ≠ R H S

(D)

when , x= 8

L H S

9 × 8 + 49

= 72 + 49

= 121

R HS:

2^x=2^8 =256

L H S ≠ R H S






8 0
3 years ago
Read 2 more answers
Which function has a domain of all real numbers?
Alona [7]

Answer:

B.

Step-by-step explanation:

B.  Because the others have exponents whose denominators are even so the  results of , for example x^1/2,  if x is negative is not defined.

For example:

For A, when x  is -4,  (-4)^1/2  is not real.

For B, when x = -4, (2*-4)^ 1/3 = -8^(1/3) =  = -2.

3 0
3 years ago
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How to solve 6x + y= -5, -6x + 12y=96 using elimination and does it have no solution or many solutions?
Alika [10]

Answer:

x = -2

Step-by-step explanation:

Arrange 6x + y= -5, -6x + 12y=96 vertically:

6x + y= -5

-6x + 12y=96       Now combine like terms:

--------------------

       13y = 91

Solving for y by dividing both sides by 13:  y = 7

Find x by substituting 7 for y in the second equation:  -6x + 12(7) = 96

Then -6x = -84 + 96, or:

-6x = 12, and so x = -2

8 0
3 years ago
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