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damaskus [11]
3 years ago
10

Help me with these two

Mathematics
2 answers:
azamat3 years ago
8 0
Substituting 5 for the variable x will produce 75, which is greater than 65. Substituting 6 for the variable x will produce 90, which is greater than 65. Substituting 7 for the variable x will produce 105, which is greater than 65.
slavikrds [6]3 years ago
7 0
To find the answer of the first one, plug in numbers for x, and see if they make the inequality true. Like, 5, 6, and 7.

For the second one, add 13 to both sides. The answer is 21.
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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

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Hello,

x^2+y^2-4x+22y+61=0\\\\
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1)When subtract you will still get a negative number

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