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Delvig [45]
3 years ago
11

Consider a single-server queuing system. If the arrival rate is 82 units per hour, and each customer takes 36 seconds on average

to be served, what is the average # of customers in the line? Round to whole person.
Business
1 answer:
Tanzania [10]3 years ago
6 0

Answer:

The average # of customers in the line is 4.

Explanation:

arrival rate, x = 82/3600

                      = 0.023

service rate, y = 1/36

                        = 0.028

utilisation, p = x/y

                    = 0.023/0.028

                    = 0.821

average number of costomers = p^2/[1 - p]

                                                   = (0.821)^2/[1 - 0.821]

                                                   = 3.75

Therefore, The average # of customers in the line is 4.

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A school is watching students as they enter the football game for students who are
Stels [109]

The probability that the first student dressed inappropriately for the football game will be the 10th student checked is <u>3.182%</u>.

<h3>What is probability?</h3>

Probability refers to the chance that an outcome occurs given the possibility of many outcomes.

As a measure, probability represents the ratio of the outcomes from a set of equally likely outcomes.

<h3>Data and Calculations:</h3>

Estimated proportion of students dressed inappropriately = 7%

Number of players for a football game = 22 (11 x 2)

Probability that the first one dressed inappropriately will be the 10th = 0.031818 (0.07 x 10/22).

Thus, the probability that the first student dressed inappropriately for the football game will be the 10th student checked is <u>3.182%</u>.

Learn more about probability at brainly.com/question/13604758

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6 0
2 years ago
Yasmine plans to attend a four-year public university. She expects she will need to contribute $9,000 annually to her education.
mojhsa [17]
It is D. There are 12 months in a year and she needs to save atleast 9,000. 
600x12=7,200
350x24=8,400
225x36=8,100
200x48=9,600
7 0
2 years ago
Read 2 more answers
Selected current year company information follows:
koban [17]

Answer:

b. 2.81 times

Explanation:

Calculation to determine Total stockholders' equity, end-of-year 121,851

Total asset turnover is:

First step is to calculate the Total assets

Beginning Ending

Total liabilities $83,932 $103,201

Total equity 198,935 121,851

Total assets $282,867 $225,052

Now let determine the Total asset turnover

Total asset turnover = $712,855/[($282,867 + $225,052)/2]

Total asset turnover= 2.81 Times

Therefore Total stockholders' equity, end-of-year 121,851

Total asset turnover is:2.81 Times

6 0
2 years ago
High flyer, inc., wishes to maintain a growth rate of 16 percent per year and a debt-equity ratio of 0.90. the profit margin is
Xelga [282]

Answer: The dividend payout ratio is 46.19%.

We follow these steps in order to arrive at the answer:

We begin with the DuPont identity of RoE.

<u>DuPont Identity:</u>

RoE = Net Profit Margin * Asset Turnover Ratio * Equity Multiplier

Now,  

Equity Multiplier = \frac{1}{Debt Ratio}

And Debt Ratio is also expressed as:

Debt Ratio = \frac{D/E}{1+D/E}

where D/E represents the Debt-Equity Ratio.

Substituting the value of D/E ratio from the question in the debt ratio formula above we get,

Debt Ratio = \frac{0.9}{1+0.9}

Debt Ratio = \frac{0.9}{1.9}----(1)

Substituting (1) in the equity multiplier formula above we get,

Equity Multiplier = \frac{1}{\frac{0.9}{1.9}}

Equity Multiplier = \frac{1.9}{0.9}

Substituting Equity Multiplier from above and the relevant numbers from the question in the DuPont identity we get,

RoE = 0.048 * 1.08 * \frac{1.9}{0.9}

RoE = 0.10944

The relationship between RoE and earnings growth rate g is given by the following formula:

RoE = \frac{g}{(1-p)}, where p is the dividend payout ratio.

Plugging in the values in the formula above we get,

0.10944 = \frac{0.16}{(1-p)}

1-p = \frac{0.16}{0.10944}

1-p = 1.461988304

p = 0.461988304 or 46.19%

3 0
3 years ago
A seller listed a home for $200,000 and agreed to pay a commission rate of 5%. The MLS stated that the commission would be share
Virty [35]

Answer:

The answer is: $2,700

Explanation:

The house sold for $180,000 (= 90% x $200,000).

The total commission was $9,000 (= $180,000 x 5%), split in half between listing office and selling office.

The selling broker received his $4,500 commission, and then h paid his selling associate 60% of it.

The selling associate received a $2,700 commission (= 60% x $4,500)

3 0
3 years ago
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