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3 years ago

PPPLLLEEEAAASSSE HHHEEELLLPPP! 14 points! Brainlliest, hearts, and stars!

Mathematics

2 answers:

WITCHER [35]3 years ago

8 0

Answer:

216

Step-by-step explanation:

puteri [66]3 years ago

4 0

Answer:

216

Step-by-step explanation:

6x6x6=216

Here is your answer

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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

The point that is needed?

KengaRu [80]

Due to a membership drive for a public television station, the current ;membership is 125% of what it was a year ago. The current membership is 1200. How many members did the station have last year

6 0

2 years ago

Two supplementary angles are in the ratio of 31:5 find angles

ad-work [718]

Answer:

The angles are 155° and 25°.

Step-by-step explanation:

Given:

Two supplementary angles are in the ratio of 31:5.

Now, to find the angles.

The sum of two supplementary angles = 180°

Let the ratio of the angles be $31x\ and\ 5x$ .

So, according to question:

$31x+5x=180\°$

$36x=180\°$

Dividing both sides by 36 we get:

$x=5$

So, $31x=31\times 5=155\°.$

And, $5x=5\times 5=25\°.$

Therefore, the angles are 155° and 25°.

7 0

3 years ago

The half life of silicone-32 is 710 years. If 30 grams is present now, how much will be present in 300 years?

Irina18 [472]

Answer:

22.38 g of silicone-32 will be present in 300 years.

Step-by-step explanation:

A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay and its given by

$N(t)=N_0(\frac{1}{2})^{\frac{t}{t_{1/2}}$

where,

$N(t)$ = quantity of the substance remaining

$N_0$ = initial quantity of the substance

$t$ = time elapsed

$t_{1/2}$ = half life of the substance

From the information given we know:

The initial quantity of silicone-32 is 30 g.
The time elapsed is 300 years.
The half life of silicone-32 is 710 years.

So, to find the quantity of silicone-32 remaining we apply the above equation

$N(t)=30\left(\frac{1}{2}\right)^{\frac{300}{710}}=30\left(\frac{1}{2}\right)^{\frac{30}{71}}\approx22.38 \:g$

22.38 g of silicone-32 will be present in 300 years.

7 0

2 years ago

The distance that an object covered in time was measured and recorded in the table below.True/False: The distance covered is dir

Sedaia [141]

Answer:

true

Step-by-step explanation:

did the test

5 0

3 years ago