Consider an espresso stand with a single barista. Customers arrive at the rate of 25 per hour according to a Poisson distribution. Service times are exponentially distributed with a mean service time of 1.5 minutes per customer. Answer: a. What is the service rate per hour for the expresso stand? b. What is the probability that the server is busy? c. What is the probability that the server is idle? d. What is the average number of customers waiting in line? e. What is the average time in minutes a customer spends waiting in line for service?

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Arrival rate λ = 25 per hour

Service time = 1.5 minutes per customer

A.) The service rate per hour :

60 / service time = 60 / 1.5 = 40 customers per hour

B.) probability that server is busy

Utilization factor = arrival rate / service rate

= 25 / 40

= 0.625

C.) probability that server is idle :

1 - 0.625 = 0.375

D.) average Number of customers waiting on line ;

λ² / μ(μ - λ)

25² / 40(40 - 25)

625 / 40(15)

= 1.04

Average time spent waiting in line for service :

λ / μ(μ - λ) * 60

25 / 40 ( 40 - 25)

25 / 40(15)

0.0416666 * 60

= 2.5 minutes


Related Questions

HELP AND GET BRAINLY 20 PTS

Answers

Answer:

4

Step-by-step explanation:

it crosses at 4

Answer:

C. 4

Step-by-step explanation:

The Y-intercept of a line is where the line intersects with the y-axis, it is also when x=0. To find the intercept simply go along the axis until you run into the line, in this case, you hit the line when y=4. If the intercept is not shown on the graph you can use the slope-point equation and then simplify for the intercept.

solve the equality 7-6x < 19

Answers

Answer:

x>-2

Step-by-step explanation:

Answer:

7-6x < 19

-6x< 19 - 7

-6x < 12

x < -2

-4(3x-6)-5x steps and solve

Answers

Answer:

Answer is 17x - 24

Step-by-step explanation:

First we have...

4(3x - 6) - 5x

We want to use distributive property first.

12x - 24 - 5x

Combine like terms...

12x - -5x - 24

And simplify.

17x - 24

This is as simplified as possible, you can't combine them anymore because one has an x, the other doesn't. I hope this helps, and I hope it's not wrong, but I do not think it is.

If trapezoid ABCD is reflected over the x-axis and translated 5 units to the right, which is the resulting point of Point B?

Answers

Answer:

o

Step-by-step explanation:

A new health drink has 150% of the recommended daily allowance​ (RDA) for a certain vitamin. The RDA for this vitamin is 50 mg. How many milligrams of the vitamin are in the​ drink?? ​

Answers

Answer:

75

Step-by-step explanation:

50*150% = 50*(1.5) = 75 (mg)

Answer:

75mg

Step-by-step explanation:

Gary analyzes data on average outdoor temperature and the cost of air conditioning his home. He fits the data to a linear model and finds the correlation coefficient to be 0.96.

Select the words that accurately complete the statement:

Based on Gary's analysis, there is a _____ association between the increase in the outdoor temperature and the ______ in household air conditioning costs.

strong, increase
weak, decrease
strong, decrease
weak, increase

Answers

Answer:

the last one I had a blast in a row and a lot for

Which tables of values representa nonlinear function?
5
9
13
17
-2
0
2
2
6
5
4
Хе
0
1
2
1
4
7
1
3
6
9
9
27
12

Answers

It would be b if you see the table and subtract the numbers going form the bottom

Which graph shows a set of ordered pairs that represent a function?

Answers

Answer:

Step-by-step explanation:

Its either a or b

PLEASE HELP I WILL GIVE BRAINLEIST

Answers

Answer:

1. b  2. b  3. c  4. a  5. c

Step-by-step explanation:

hope this helps! i can give an explanation if needed

Answer:

What he said

Step-by-step explanation:

Find the value of 'X' in the triangle below

Answers

Answer:

bottom right is 65 degrees, bottom left is 25 degrees, top is 90 degrees. x=12

Step-by-step explanation:

the angles if a triangle always add up to 180, lets make an equation

2x+1+5x+5+90=180

^^ we know that's 90 because there is a square for the angle, which means it's 90 degrees.

7x+96=180

7x=84

x=12

2(12)+1

25

5(12)+5

65

3. A random survey of the quality of Raleigh city parks is taken. Sixty-five percent of the people surveyed were pleased with the condition of the parks. If 280 people were surveyed, then how many were pleased?

Answers

Answer: 182 people

Step-by-step explanation:

The following can be deduced from the question:

Number of people surveyed = 280

Percentage of people pleased = 65%

The number of people that were pleased will be:

= Percentage of people that were pleased × Number of people surveyed

= 65% × 280

= 65/100 × 280

= 0.65 × 280

= 182

182 people were pleased with the condition of the park

Which one?
A. B. C. or D? ​

Answers

Answer:b

Step-by-step explanation:

A person's running stride is about 1.14 times the person's height. Your friend's stride is 5.472 feet. How tall is your friend?

Answers

6.23808


Round it I think ahah

f(x) = 2x+3 and g(x) = x - 7. Find f(3)

Answers

Answer:

f(3) = 9

Step-by-step explanation:

To evaluate f(3) substitute x = 3 into f(x), that is

f(3) = 2(3) + 3 = 6 + 3 = 9

Answer:

f(3) = 9

Step-by-step explanation:

f(3) = 2x + 3

input the 3 into all x values since it is f(x) basically it tells you the value of x

f(3) = 2(3) + 3

f(3) = 9

EASY - 3rd part
Need the following would you rather questions to be answered for a survey, need 5 people to answer
1) Would you rather be on house arrest or go to jail for a month?
2) Would you rather go to court and plead guilty or be placed on probation for 10 months?
3) Would you rather clean garbage alongside the road or speak to schools?
4) Would you rather go to solitary confinement for a year, or go to regular prison for 10?
5) Would you rather spend a half a lifetime in prison or a lifetime on probation?

Answers

1) I would rather be on house arrest for a month.

2) I would rather be placed on probation for 10 months.

3) I'd clean garbage around the road.

4) I'd rather go to solitary confinement for a year.

5) I'd rather spend half a lifetime on probation.

good luck on your survey!! have a great day :))

Answer:

1) I would rather be on house arrest for a month.

2) I would rather be placed on probation for 10 months.

3) I would rather speak to schools.

4) I would rather go to a solitary prison for a year.

5) I would rather spend half a lifetime in prison.

Step-by-step explanation:

PLS ANSWER ASAP
which scatterplot suggest a linear relationship between x and y?
A) I only
B) III only
C) I and II only
D) I and III only

Answers

Answer:

B

Step-by-step explanation:

If you make a straight line it would go through the origin and have a constant rate

Slope-intercept equation

Answers

Answer:

y=-3x+7

Step-by-step explanation:

(0,7) is the y-intercept and the b part of y=mx+b

m=-3 goes down by 3 whole units and 1 unit to the right. -3/1 = -3

F(x)= -3x+7

Hope this helped ;)

Anthony answered 76% of the questions on his math test correctly. There were 50 questions on the test. How many questions did Anthony answer correctly?

Answers

He answered 38 correctly and 12 incorrectly.

Hope this helped ;)

what is the answer to this question?

Answers

Answer:

It is 3

Step-by-step explanation:

13/20=.65

.65= 65%

The answer you are looking for is 2.

7/10 = 70%

Of the 180 players who signed up for soccer, 99 are girls. What percent of players who signed up for soccer are girls?

Answers

Answer:

55% of the players who signed up for soccer are girls.

Step-by-step explanation:

To find the percentage of something you just divide the lesser number by the bigger number, that's how i learned it

Answer:

That would be 55%

Step-by-step explanation:

Divide 99/180 then multiply by 100 and you got your answer :)

Can I get an answer ASAP? Mark you as the brainiest

(b + –2) + 2

Answers

Expression simplified ( b-2)+2

who ever gets my questions right will get 50 points

Answers

Answer:

what questions???

Step-by-step explanation:

3 points
Kim and Glen were selling candy bars while working through a company. In order to sell with this company, they required you to wear their uniform which had an
upfront cost of 10 dollars. The profit made from selling each candy bar was 2 dollars.
Kim said she could represent her total profit with the expression 20-10, wherec is the amount of candybars sold.
Glen said he could represent his total profit with the expression 2c+10, where cis by the amount of candybars sold.
Who do you think has come up with correct expression? What mistake did Kim or Glen make and how could they fox it?

Please help will make Brainlest

Answers

Answer:

Kim made the mistake

Step-by-step explanation:

She should take away the 0 in 20

The first side of a triangle is 8 inches shorter than the second side. The third side is 4 times as long as the first side. The perimeter is 38 inches. What is the length of the longest side.
PLEASE HELP ME I NEED IT NOW

Answers

Answer:

20

Step-by-step explanation:

Let  x   be the first side.

Since x  is 8 in. shorter than the second side, we know that we'd need to add 8 to x   to get the length of the second side. So the second side is  

x  +  8 .

The third side is 4 times the length of the first side, so the third side is  

4 x.

Perimeter is the sum of the sides, so:  

( x)+(x+8)+4x=6x+8  (The 6x+8 is just combining like terms from the left side)

We also know the perimeter is 38, so we have:

6 x +8 = 38

subtract 8:

6 x=30

divide:

x =5.

The three sides have length: 5,13 , and 20.

The longest side is 20 inches long.

The lengths of the sides of a quadrilateral are 4 consecutive even integers. The perimeter of the quadrilateral is 36 inches. What is the length of the longest side?\

WILL GIVE BRAINLIEST
NEED THIS ASAP

Answers

Answer:

The length of the longest side is 9 inches

Step-by-step explanation:

The given parameters for the quadrilateral is that the length of the sides are;

The length of the sides are consecutive integers =  x, x + 2, x + 4, x + 6

The perimeter of the rectangle = 36 inches

The side length to be found = The length of the longest side = x + 3

2 6 10 14 18

∴ x + x + 2 + x + 4 + x + 6 = 36

4·x + 12 = 36

4·x = 36 - 12 = 24

4·x = 24

x = 24/4 = 6

x = 6 inches

The length of the longest side = x + 3 = 6 + 3 = 9

The length of the longest side = 9 inches.

Answer:

The length of the longest side is 9 inches

Step-by-step explanation:

The given parameters for the quadrilateral is that the length of the sides are;

The length of the sides are consecutive integers =  x, x + 2, x + 4, x + 6

The perimeter of the rectangle = 36 inches

The side length to be found = The length of the longest side = x + 3

2 6 10 14 18

∴ x + x + 2 + x + 4 + x + 6 = 36

4·x + 12 = 36

4·x = 36 - 12 = 24

4·x = 24

x = 24/4 = 6

x = 6 inches

The length of the longest side = x + 3 = 6 + 3 = 9

The length of the longest side = 9 inches.

credit to oeerivona https://brainly.com/app/profile/18148767

FIRST ONE CORRECT AND FIRST GETS BRAINLY.look at picture answer all questions.​

Answers

Answer:

0,0

1,0.5

2, 1

3,1.5

4,2

Step-by-step explanation:

Can someone please help me ?

Answers

Answer:

D

Step-by-step explanation:

Since it is 28 meters deep, it would be -28. And it increases 0.012 meters per minute, and time is t, so that would be 0.012t. So the equation is 0.012t - 28 = 30.

D i think is D because you have to subtract

Lionel, Jill and Grace are all reading the same book. Lionel has read 31.5% of the book. Jill has read \binom{1}{3}( 3 1 ​ ) of the book. Grace has read \binom{3}{8}( 8 3 ​ ) of the book. Which list shows the numbers in order from greatest to least?

Answers

Answer:

Grace, Jill, Lionel

Step-by-step explanation:

Lionel, Jill and Grace are all reading the same book. Which list shows the numbers in order from greatest to least?

The first step is to convert to decimal numbers

For Lionel

Lionel has read 31.5% of the book.

= 31.5% = 31.5/100 = 0.315

For Jill

Jill has read 1/3 of the book.

= 1/3 = 0.33333333333

= 0.333

For Grace

Grace has read 3/8 of the book.

= 3/8 = 0.375

The, list shows the numbers in order from greatest to least

= Grace, Jill, Lionel

Where Grace is the greatest and Lionel is the least.

I need help please!!-

Answers

Answer:

tickets: $32

food: $18.14

drinks: $14.28

total: $64.42

$37 for tickets

3 * 4.75 = $14.25 for popcorn

$3.89 for candy

so you add $14.25 + 3.89 and you get the amount mike paid for food which is $18.14

2 * $4.39 = $8.78 for sodas

2 * $2.75 = $5.5 for waters

so you add $8.78 + $5.5 which is the amount paid for drinks which is $14.28

so he spent $69.42 for the family trip

Ron and Hermione are lifting feathers into the air with magic. Hermione can lift a feather 3{,}5253,5253, comma, 525 centimeters (\text{cm})(cm)left parenthesis, start text, c, m, end text, right parenthesis into the air. That is 555 times as high as Ron can lift a feather.

Answers

Answer:

705 cm

Step-by-step explanation:

Ron and Hermione are lifting feathers into the air with magic. Hermione can lift a feather 3,525

centimeters (cm) into the air. That is 5 times as high as Ron can lift a feather.

How high can Ron lift a feather with his magic?

Hermione = 3,525 cm

Hermione = 5 × Ron

Substitute Hermione = 3,525 cm into

Hermione = 5 × Ron

3,525 = 5 × Ron

Ron = 3,525 / 5

= 705

Ron = 705 cm

Answer: 705

Step-by-step explanation:

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