Waiting Line Models:Movies tonight is a typical video and dvd movie rental outlet for home-viewing customers. During the weeknight evening, customers arrive at Movies Tonight with an arrival rate of 1.25 customers per minute. The checkout clerk has a service rate of 2 customers per minute/ Assume Poisson arrivals and exponential service times.a. What is the probability that no customers are in the system?b. What is the average number of customers waiting for service?c. What is the average time a customer waits for service to begin?d. What is the probability that an arriving customer will have to wait for service to begin?e. Do the operating charachteristics indicate that the one-clerk checkout system provides and acceptable level of service?

Answers

Answer 1

Answer:

Probability [No customers in system] = 0.375Customers waiting for service = 25/24Average time customer wait = 1.25/1.5May be waitPer customer average time = 1.33 (Approx)

Step-by-step explanation:

Given:

Arrival rate λ = 1.25 min

Mean μ = 2

Computation:

(a) Probability [No customers in system]

Probability [No customers in system] = 1-[λ/μ]

Probability [No customers in system] = 1-[1.25/2]

Probability [No customers in system] = 0.375

(b) Customers waiting for service

Customers waiting for service = λ²/ [μ(μ-λ)]

Customers waiting for service = 1.25²/ [2(2-1.25)]

Customers waiting for service = 25/24

(c) Average time customer wait

Average time customer wait = λ / [μ(μ-λ)]

Average time customer wait = 1.25/ [2(2-1.25)]

Average time customer wait = 1.25/1.5

(d) May be wait because Customers waiting for service = 25/24

(e) Per customer average time

Per customer average time = 1/(μ-λ)

Per customer average time = 1/(2-1.25)

Per customer average time = 1.33 (Approx)


Related Questions

find the decimal equivalent of the following percent: 0.45%

Answers

The answer is 0.0045 hope this helped

1. An iPhone is on sale for $780. It originally cost $1000.00. What is the percent of change?

Answers

Answer:

your answer is going to be 220.

What is the domain of the function graphed below? Hurry pls I’m being timed

Answers

(-2, infinity) option A

The inequality x ≥ -3 is satisfied by point (0, -2). True False

please explain!!

Answers

Answer:

true

Step-by-step explanation:

x [tex]\geq[/tex] -3, when graphed, is a vertical line which crosses the x-axis at -3

The solution area is then shaded either to the left of that line or to the right

Look at the point (0, -2); the x-coordinate is zero, which is greater than -3

Therefore, if graphing, you would shade the area to the right of the line and every point contained in this area is a solution to x [tex]\geq[/tex] -3

2. Which of the following is the correct value of (0.22) - (0.4)? Show your reasoning. c. 0.088 d. 0.0088 w​

Answers

Answer:

C

Step-by-step explanation:

there would have to be one more zero between 0 and 8 for both of them

What is the answer to this?

Answers

Answer:

65 reaminder  85  

Step-by-step explanation:

u divided it and theres a big remainder so i did the two first reinders i found

If the imput is -8 then what is the output of y=3x+7

Answers

Answer:

output is -17

Step-by-step explanation:

x is input, y is output. You do y = -24 + 7

then y = -17

Two airplanes leave Columbus at the same time and fly in opposite directions. One plane travels 70 miles per hour faster than the other plane. After 4 hours they are 3800 miles apart. What is the rate of each plane?
Hint: Distance equals rate times time. (d = r t)

Answers

Answer:

it goes 4233 miles

Step-by-step explanation:

sorry if am wrong luv!

Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.
a. y=
b. y=

Answers

Answer:

(a). y = - 4x + 19 ; (b). y = [tex]\frac{1}{4}[/tex] x + 2  

Step-by-step explanation:

Slope "m" of given line is

m = - 4

Slope of parallel line is ( - 4) and perpendicular line is [tex]\frac{1}{4}[/tex]

P(4, 3)

y - [tex]y_{P}[/tex] = m( x - [tex]x_{P}[/tex] )

(a). y - 3 = - 4 (x - 4)

y = - 4x + 19

(b). y - 3 = [tex]\frac{1}{4}[/tex] ( x - 4 )

y = [tex]\frac{1}{4}[/tex] x + 2

Gabriel earned $238.40 at His job when he word for 16 hours what was his hourly wage in dollars per hour?

Answers

Answer:

$14.9

Step-by-step explanation:

238.40 / 16 = $14.9 hourly

Answer:

Gabriel earns $14.90 per hour

Step-by-step explanation:

238.4 divided by 16 gives you 14.9

Hope this helps

help asaap dont use me for points please

Answers

Answer:

-1.5

Step-by-step explanation:

You were on the free points page

1
For every 2 teaspoons of white vinegar in a jar of homemade glue, there are 5 tablespoons of
cornstarch. How many teaspoons of white vinegar are there for every tablespoon of cornstarch?
A. 1
5
В.
C 1
D. 5

Answers

5 divided by 2 so it’s 2.5

The number of teaspoons of white vinegar are there for every tablespoon of cornstarch is 0.4.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, for every 2 teaspoons of white vinegar in a jar of homemade glue, there are 5 tablespoons of cornstarch.

The number of teaspoons of white vinegar are there for every tablespoon of cornstarch = 2/5

= 0.4

Therefore, the number of teaspoons of white vinegar are there for every tablespoon of cornstarch is 0.4.

To learn more about the unitary method visit:

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please solve needed asap

Answers

Answer:

x = 56°

Step-by-step explanation:

Base angles of an isosceles triangle are equal.

This:

The angle of the triangle to our right, which is the third unequal angle = 180 - 2(31)

= 180 - 62

= 118°

The base angle of the triangle to our left = 180 - 118 (angles on a straight line)

= 62°

x = 180 - 2(62)

x = 180 - 124

x = 56°

66 and 2/3% as a fraction and decimal

Answers

Answer:

Answer are right here

Step-by-step explanation:

66 as a fraction is 33/50 and as a decimal, it would be 0.66

2/3 as a fraction would be 2/3 and as decimal it would be 0.66666667

25 yd. 4 in. Divided by 8

Answers

Answer:

113 inches or 3.13889 yards

What is the least common multiple of the two denominators 6/8, 4/32

Answers

Answer:

32

Step-by-step explanation:

2x squared times 6 =

A:10x squared

B:8x squared

C:12x squared

Answers

Answer:

C: 12x squared

Step-by-step explanation:

the equation would look like [tex]2x^{2}[/tex] · [tex]6[/tex] or [tex]6(2x^{2})[/tex]

you only multiply the coefficients, leave the exponent alone for this one

so 2 times 6 would be 12 and the [tex]x^{2}[/tex] remains the same giving you [tex]12x^{2}[/tex]

Find the slope of the line in the given graph.

Answers

Answer:

option A, 3/4

Step-by-step explanation:

slope / gradient formula:

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

use the 2 coordinates from the graph

i) (-2,3)

x1 = -2

y1 = 3

ii) (2,6)

x2 = 2

y2 = 6

[tex] \frac{y 2 - y1}{x2 - x1} [/tex]

[tex] \frac{6 - 3}{2 - ( - 2)} [/tex]

[tex] \frac{3}{2 + 2} [/tex]

[tex] \frac{3}{4} [/tex]

The highest recorded temperature in the world is 120°F. The lowest recorded temperature in the world is -129.6°F. What is the difference in the two temperatures?



Group of answer choices

9.6 degrees

29.6 degrees

229.6 degrees

249.6

Answers

Answer: 249.6 degrees

Explanation: When you see the subtraction symbol followed by a negative symbol, turn the two signs into a plus sign. As a result, the problem turns into a simple addition problem.

120 + 129.6 = 249.6

What is the value of p in the proportion below?

StartFraction 20 over 6 EndFraction = StartFraction p over 12 EndFraction

Answers

Answer:

20/6=p/12

cross multiply

20*12=6p

240=6p

divide both sides by 6

p=40

Answer:

C - 40

Step-by-step explanation:

A yoga instructor offers two options for classes. Option 1: $40 joining fee and $20 per class Option 2$0 joining fee and $25 per class After how many classes will both options have the same cost?

Answers

Answer:

The indifference point is 8 classes.

Step-by-step explanation:

Giving the following information:

Option 1:

$40 joining fee and $20 per class

Option 2:

$0 joining fee and $25 per class

First, we establish the total cost formulas:

Option 1= 40 + 20x

Option 2= 0 + 25x

x= number of classes

Now, we equal both formulas and isolate x:

40 + 20x = 25x

40=5x

8=x

The indifference point is 8 classes.

Prove:

Option 1= 40 + 20*8= $200

Option 2= 0 + 25*8= $200

put the numbers in order from least to greatest.

5 * 10^6

4000000

5 * 10^5

0.6 * 10^7

75 * 10^5

Answers

So if u simplify them all it would be 5000000, 4000000, 500000, 6000000, 7500000 so it would be least is 500000, 4000000, 5000000, 6000000, and 75000000 being the greatest... I hope this helps uuuu! :)

Need help with this one will mark brainliest

Answers

Answer:

circle 3

Step-by-step explanation:

I’m pretty sure it’s the first one!! Plz mark brainliest!!

Solve the proportion for X.
0.666/5=х/15 x3
x= 2
x=3
x= 5
x = 10

Answers

Answer:

x = 2

Step-by-step explanation:

0.666/5 = (2/3)/5 = 2/15

Therefore, x = 2.

In the figure below, APQR is a reflection of ATSA.
Two students describe the given triangles as shown:
Student I: Because reflections preserve side lengths, OR a SR, PO TS, and PR TR.SO APORATSR by SSS.
Student II: Because reflections preserve both side lengths and angle measures, ZROP ZRST, OR SR. and PO = TS. SO APOA - ATSR by SAS.
Who has proven APOR - ATSR correctly?
only studenti
only student II
o
both student I and student II
o
neither student I nor student II

Answers

Answer:

both student one and student two

Step-by-step explanation:

With the properties of congruent triangle we conclude that the statement of both student I and student II are correct.

Congruent triangle-If the sides of two triangle measure same lengths and the angle have same measures then the two triangle are said to be congruent.

Given-

Statement of student 1-Because reflections preserve side lengths,

[tex]QR \cong SR[/tex],

[tex]PQ \cong TS[/tex],

[tex]PR \cong TR.[/tex] so,

[tex]\bigtriangleup PQR \cong \bigtriangleup TSR[/tex]

In all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle, then the two triangle are said to be congruent by the side side side (SSS) rule. Hence, the above statement is correct.

Statement of student 2- Because reflections preserve both side lengths and angle measures,

[tex]\angle RQP \cong \angle RST[/tex]

[tex]QR \cong SR[/tex]

[tex]PQ \cong TS[/tex]

[tex]\bigtriangleup PQR \cong \bigtriangleup TSR[/tex]

In any two sides and the angle included between the sides of one triangle are equivalent to the corresponding two sides and the angle between the sides of the second triangle, then the two triangle are said to be congruent by the side angle side (SAS) rule. Hence the above statement is correct.

Hence, with the properties of congruent triangle we conclude that the statement of both student I and student II are correct.

https://brainly.com/question/25813512

Bea's catering charges $3 per person and a $60 clean-up fee to cater banquets. Write an equation to find the number of students (n) that could attend the French clubs banquet if they had a budgeted $200 for catering

Answers

Answer:

The required equation will be:

200 = 3n + 60  

Step-by-step explanation:

We know the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where 'm' is the slope or rate of change and 'b' is the y-intercept of the equation

Let 'n' represents the number of students (n).Let 'c' represents the cost budget.

Given that Bea's catering charges $3 per person.

Thus, the slope or rate of change = m = 3 dollars per person

Given that the clean-up fee to cater banquets = $60

In other words, $60 is the initial condition or y-intercept.

Thus, the y-intercept b = 60

Given that the cost budget = c = $200

Thus, the equation becomes

c = mn+b

substituting c = 200, m = rate of cgange = 3, b = 60

200 = 3n + 60            ∵ comparing with y = mx+b

Thus, the required equation will be:

200 = 3n + 60  

The equation that determines the no of students should be 200 = 3n + 60  

Equation need to be used:

Here we assume n be the number of students

And, c be the the cost budget.

So, we know the equation should be formed by applying the following expression

c = mn+b

Here c = 200, m = r = 3, b = 60

Therefore, the equation is 200 = 3n + 60        

Hence, The equation that determines the no of students should be 200 = 3n + 60  

Learn more about an equation here; https://brainly.com/question/18510004

Drew wants to buy sports equipment that costs $140. The sales tax is 8%. What is the total cost of the equipment with the tax?

Answers

Answer: $151.20

Step-by-step explanation:  8 percent of 140. Add this number to 140.

[tex]\frac{x}{140} = \frac{8}{100}[/tex]

100x=112

x=11.2

Help

w(a)=a-1; find w(0)

Answers

Answer:

Step-by-step explanation:

w(0) = 0-1

w(0) = 0-1

w(0) = -1

Since w(0), this basically means that a = 0.

So, plug 0 into anywhere a is.

The value of the function w(a) = a - 1 at a = 0 will be negative 1.

What is the value of the expression?

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The function is given below.

w(a) = a - 1

The value of the function at a = 0 will be

w(0) = 0 - 1

w(0) = - 1

The value of the function w(a) = a - 1 at a = 0 will be negative 1.

More about the value of expression link is given below.

https://brainly.com/question/23671908

#SPJ2

I just want ppl to check, extra points too!

Answers

Answer:

thats correct

Step-by-step explanation:

i had that on my test and i ot it right

can u pls help me with this question ​

Answers

I believe it is 8 if not I’m sorry
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