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kodGreya [7K]
3 years ago
9

Little’s Law Firm has just one lawyer. Customers arrive randomly at an average rate of 6 per 8 hour workday. Service times have

a mean of 50 minutes and a standard deviation of 20 minutes. How long does a customer spend at Little’s Law Firm on average?
Mathematics
1 answer:
serg [7]3 years ago
3 0

Answer:

On average, customer spends approximately  98 min at Little’s Law Firm

Step-by-step explanation:

Given the data in the question;

Arrival rate λ = 6 per 8 hours =  6 / ( 8 × 60 )min = 6 / 480 = 0.0125 per minute

Service rate δ = 1 / 50 min = 0.02 per minute

Standard deviation σ = 20 min

Now,

Utilization rate U = Arrival rate / Service rate

U = 0.0125 / 0.02

Utilization rate = 0.625

Number of people in Queue will be;

⇒ ( (λ² × σ²) + U² ) / ( 2 × ( 1 - U )

we substitute

⇒ ( (0.0125² × 20²) + 0.625² ) / ( 2 × ( 1 - 0.625 )

⇒ ( 0.0625 + 0.390625 ) / ( 2 × 0.375 )

⇒ 0.453125 / 0.75

Number of people in Queue = 0.6042

Now

Wait in the Queue = Number of people in Queue / λ

= 0.6042 / 0.0125 = 48.336

Wait Time in Office = Wait in the Queue + ( 1 / δ )

= 48.336 + ( 1 / 0.02 )

= 48.336 + 50

Wait Time in Office = 98.336 ≈ 98 min

Therefore, On average, customer spends approximately  98 min at Little’s Law Firm

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kolbaska11 [484]

Answer:

B

Step-by-step explanation:

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Hence, a function f(x) is

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Practically, you can buy 0 packages, 1 package, 2 packages and so on, only whole numbers of packages, so practical domain is all whole numbers.

4 0
2 years ago
Determine the quotient, q(x), and remainder, r(x) when
Vinvika [58]
ANSWER

Quotient:

q(x) = 4 {x}^{2} + 3x + 2

Remainder:

r(x) = 3x + 1

EXPLANATION

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and

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We perform the long division as shown in the attachment.

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The remainder is

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5 0
3 years ago
everyone's indiviaual demand for a particular good or service can be represented by the same demand curve
bija089 [108]

The statement "everyone's individual demand for a particular good or service can be represented by the same demand curve " is false. Option B

This is further explained below.

<h3>What is the demand curve?</h3>

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Demand curves may be used to analyze the price-quantity connection for a single customer, or they can be used to analyze the relationship for all consumers in a certain market.

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Read more about Demand curves

brainly.com/question/13131242

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Complete Question

Everyone's indiviaual demand for a particular good or service can be represented by the same demand curve

True or false

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1 year ago
Help please work with answer
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* don't forgot to put place holders and add a decimal.
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3 years ago
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Answer:

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