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eduard
3 years ago
8

Determine the average number of customers waiting in line. (Round your answer to 2 decimal places.) b. Determine the average tim

e customers spend in the system. (Do not round intermediate calculation. Round your answer to 2 decimal places.) c. Determine the average number of customers in the system. (D
Mathematics
1 answer:
Katena32 [7]3 years ago
3 0

Answer:

a. 0.45 customers

b. 0.0145 hours

c. 1.05 customers

Step-by-step explanation:

Missing word "A vending machine dispenses hot chocolate or coffee. service time is 30 seconds per cup and is constant. customers arrive at a mean rate of 72 per hour, and this rate is Poisson-distributed."

λ = 72 customers per hours

μ = 120 customers per hours

a. Lq = λ²/ 2μ(μ-λ)

Lq = 72² / 2(120)(120-72)

Lq = 9/20

Lq = 0.45 customers

b. Ws = Wq + 1/μ = Lq/λ + 1/μ

Ws = 9/20 customers/72 customers + 1/120 customers

Ws = 0.0145 hours

c. Ls = Lq + r

Ls = 9/20 + 72/120

Ls = 1.05 customers

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\frac{x}{x+1}

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Answer:

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Step-by-step explanation:

The slope formula is useful for this.

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The slope of the line is -2/3.

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The graph shows the two points and a line with a slope of -2/3.

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3 years ago
A gym charges a one time sign-up fee of $10.25 and then $5 each time you go. A student paid a total of $137.25. How many times d
horrorfan [7]

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25.4 or 25 times

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137.25-10.25=127

127/5=25.4

4 0
3 years ago
NEED HELP ASAP!
Brrunno [24]
complette the square to get vertex form or y=a(x-h)^2+k
(h,k) is vertex
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so
y=-1/4x^2+4x-19
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y=(-1/4x^2+4x)-19
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y=-1/4(x^2-16x)-19
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8 0
4 years ago
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SVETLANKA909090 [29]

Answer:

f(x) = 2(x + 4)² - 2

Step-by-step explanation:

Equation of quadratic function whose vertex is (h, k),

f(x) = a(x - h)² + k

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a = \frac{8}{4} = 2

Therefore, quadratic function is f(x) = 2(x + 4)² - 2

7 0
3 years ago
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