the arrival rate is 9 / hour and the service rate is 14 / hour. the arrival and service distributions are not known so we can't use the m/m/1 formulas. if the average waiting time in the line is 24 minutes, then what is the length of the line?

Answers

Answer 1

Answer:

The length of the line is approximately 5 people.

To find the length of the line given the arrival rate, service rate, and average waiting time, you can use the following formula:

Length of the line = (Arrival rate × Average waiting time) + (Arrival rate / Service rate)

First, convert the average waiting time from minutes to hours:

24 minutes = 24/60 = 0.4 hours

Now, plug in the given values into the formula:

Length of the line = (9 arrivals/hour × 0.4 hours) + (9 arrivals/hour / 14 services/hour)

Length of the line = (3.6 arrivals) + (0.6429 arrivals)

Length of the line ≈ 4.24 arrivals

Since you can't have a fraction of a person in the line, round up to the nearest whole number:

Length of the line ≈ 5 arrivals

So, the length of the line is approximately 5 people.

Learn more about "length ":

brainly.com/question/24487155

#SPJ11

Related Questions

What is a good unit to use to measure the area of a room in a house?A)square feet B)square miles C)square inches D)square millimeters
What is the result when 4x^2-17x+36 is subtracted from 2 x^2-5x+25?
Tabitha wants to hang a painting in a gallery. The painting and frame must have an area of 58 square feet. The painting is 7 feet wide by 8 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?
BEST ANSWER GETS BRAINLIEST!!! PLEASE HELPA rectangle with width of 3. There is a vertical line that splits rectangle into two sections with different lengths. One length is x the other is 4.3(x + 4) represents the area of the rectangle above. Which expression below is equivalent by the Distributive Property?3x+12(3 + x) + 4(x + 4) ⋅ 33x + 4
Which equation can be used to model simple harmonic motion? A. d=acos[w(t+k)] B. d=acos(wt) C. d=asin(wt)+k D. d=sin(awt)

5 over 8 divided by 3 over 10 in simplest form

Answers

I'm assuming you're referring to fractions.

First, invert the 3/10.
3/10 = 10/3

Then multiply.

5/8 • 10/3 = 50/24
50/24 = 25/12

5/8 ÷ 3/10 = 25/12

5/8 / 3/10 =
5/8 x 10/3=
50/24=
25/12

A betting company wishes to sell 5000 tickets 50 of which will win prizes. I.) A students decided to buy 200 tickets. Let X be the number of tickets that win a prize. Write the probability distribution of X and give its mean. Ii.) Using a Poisson approximation for the distribution of X find the probability of at least three tickets winning a prize. Iii.) Calculate the number of tickets that should be bought so as the probability of at least one winning a prize is 90%

Answers

Answer:45000,000,000,000

Step-by-step explanation:you just have to times it

What is , 12-1x0+4÷2???

Answers

Your answer is 14
Order of operations
First you multiply
12-0+4/2
Second you divide
12-0+2
Last you add all terms neglecting the -0
12+2= 14

2 is the answer because if you subtract 12 to 1 it will be 11 and time by 0 and it will be 0 add by 4 and divide it by 2 and it will be 2.

Admission to an amusement park is $10 for children and $15 for adults. On Saturday 1,300 people enter the park and $17,250 is collected. How many children and adults entered the park?

Answers

simple
suppose number of adults entered park on Saturday be = x
number of children entered park on Saturday be = y
so we get equation
x + y =1300
x= 1300 - y { equation 1}

now for each children ticket is 10$ and y number of children visited park on Saturday . so children collection on Saturday = 10y
similarly adult collection =15x
15x+10y=17250
divide all by 5
3x+2y=3450
put x = 1300 -y from equation 1 here
3(1300-y) +2y=3450
3900 - 3y +2y = 3450
3900 - y =3450
3900-3450 = y
450= y
so number of children visited park on saturday = 450
number of adult visited park on saturday = 1300 - 450 =850

Evaluate ÷x+2 for x=49
12
2
9
15

Answers

Answer:12

Step-by-step explanation:but you cant divide by nothing

12 because you can’t divide anything

Can you help ? me solve this question ?

Answers

Answer:

$x {222}^(2)$

Other Questions

In a port, the median weight of a container is 4,700 lbs, with a standard deviation of 500 pounds. 14% of the containers weigh more than 5,900 pounds.Why can't this data be represented by a normal distribution? Because the containers are too heavy. Because the standard deviation is too small. Because the standard deviation is too big. Because we don't know the number of containers.

PLEASE HELP I DONT UNDERSTAND 9In right triangle XYZ, _X and Z are complementary angles and cos(x)is 11. What is sin(Z)?9OA.B. 1/211mus 网。C.2092011D.ResetNext

Decrease 140g by 12.5%

What is the length of the diagonal, d, of the rectangular prism shown below?