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Serhud [2]
3 years ago
5

Find the value of X. Write your

Mathematics
1 answer:
ivolga24 [154]3 years ago
7 0
Sin45°=p/h
1/√2=x/4√2
x√2=4√2
x=4
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Little’s Law Firm has just one lawyer. Customers arrive randomly at an average rate of 6 per 8 hour workday. Service times have
serg [7]

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

3 0
3 years ago
How long will it take Karen to drive 975 miles, if her average speed is 65 miles per hour? Write a formula
irga5000 [103]
It'll take her 15 hours.
Formula:   975= 65x 
Where x represents hours
6 0
3 years ago
Read 2 more answers
Y= 0.26x + 4.4*10^-4
Temka [501]

Y= 0.26x+4.4*10^-4

Y= 0.26x+4.4*10,000

Y=0.26x+44,000


I'm not sure if you were only trying to simplify the problem, but I hope this helped

6 0
3 years ago
Choose all the number sentences that have a sum less than 345,195: A) 189,753 + 155,655 B) 324,675 + 19,285 C) 185,476 + 155,923
fgiga [73]

Answer:

C, D

Step-by-step explanation:

Calculate the sum of all.

C and D have less then 345,195.

That is the answer.

5 0
3 years ago
Read 2 more answers
I NEED THIS RN PLEASE
Lerok [7]

Answer:

The answer is C, 3 to 2

Step-by-step explanation:

This is because 12 divided by 4 is 3 and 8 divided by 4 is 2 so yhe ratio is 3 to 2. Hope it helps.

3 0
3 years ago
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