A single-server waiting line system has an arrival pattern characterized by a Poisson distribution with 3 customers per hour. The average service time is 12 minutes. The service times are distributed according to the negative exponential distribution. The average time a customer can expect to wait in line is:

Answers

Answer 1

Answer:

18 minutes

Step-by-step explanation:

Given that:

The arrival time = 3 customers / hour

The avg. service rate (s) = 12 minutes per customer

To hour, we have:

[tex]s = \dfrac{60}{12}[/tex]

s = 5 customers/ hour

Thus, the required average time for a customer needs to wait in line is:

[tex]= \dfrac{3}{5}\times (5-3) hours \\ \\ = \dfrac{3}{5}\times 2 \\ \\ = \dfrac{3}{10} \ hours[/tex]

To minutes;

[tex]= 3 \times \dfrac{60}{10} \ minutes[/tex]

= 18 minutes


Related Questions

Find the area of the trapezoid.
22.2 cm
9.86 cm
8.52 cm
[? ]cm2
Enter the exact answer. Do not round

Answers

Answer:

151.4496

Step-by-step explanation:

it has not been rounded or anything that is the exact answer

Answer: 151.45 (151.4496)

Step-by-step explanation:

Formula: A = (a+b)/2 * h

Base = 22.2

Base = 8.52

Height = 9.86

Do the following:

(22.2+8.52)/2 * 9.86 = 151.4496

A piece of fabric 4 meters long is cut into two pieces. One piece is 1.25 meters long. How much longer is the second piece of fabric?

Answers

Answer:

1.5 meters

Step-by-step explanation:

the fabric is 4 meters long

first piece is 1.25 meters long

second piece will be (4-1.25)=2.75 meters long

therefore the second piece is (2.75-1.25) meters longer

Answer:

1.5 meters

Step-by-step explanation:

4 meters - 1.25 meters=2.75m is the length of the second one.

But when they ask how much longer , I think they want you to compare the two pieces meaning to get the answer you have to take 2.75m-1.25m=1.5m thats how much longer the 2nd fabric is longer than the other one.

hope am right

Unit rates can be helpful with creating a ratio table and plotting the equivalent ratios on a coordinate plane. Explain why. PLEASE ANSWER ASAP AND PLEASE GIVE ME THE ANSWER!!!

Answers

Answer:

Unit rate is often a useful means for comparing ratios and their associated rates when measured in different units. The unit rate allows us to compare varying sizes of quantities by examining the number of units of one quantity per one unit of the second quantity. This value of the ratio is the unit rate.

Is this correct? Or are the numbers wrong

Answers

Answer:

I think that's right. But the angle in the corner actually might be the 28 degrees. One sec this question is a little confusing

Step-by-step explanation:

Please help me I really need it

Answers

Answer:

Angle C

Step-by-step explanation:

By applying sine rule in the given triangle,

[tex]\frac{\text{sinB}}{CD}=\frac{\text{sinC}}{BD}=\frac{\text{sinD}}{BC}[/tex]

[tex]\frac{\text{sinB}}{\text{sinC}}=\frac{\text{CD}}{\text{BD}}[/tex]

Therefore, sides of the given triangle will be in the same ratio as the sine of the angles.

Since, BD > BC > CD

Therefore, Opposite angles of these sides will be in the same ratio.

∠C > ∠D > ∠B

Largest angle of the triangle is angle C.

If −6n=−48
then n=
HELP PLEASE

Answers

Answer:

8

Step-by-step explanation:

Find the value of "x"

Answers

Copy n paste the link above

Last week, Sue worked 7.5 hours each day on Monday and Tuesday and 6.5 hours each day on Wednesday, Thursday, and Friday. She did not work on Saturday or Sunday. If she is paid $6 an hour, how much did she earn last week? Sue earned $ last week.

Answers

Answer:

$207

Step-by-step explanation:

Calculate how nany hours Sue worked last week:

7.5 + 7.5 + 6.5 + 6.5 + 6.5

34.5 hours total

Now calculate her total income for last week:

34.5 hours × $6

$207

pls help and explain why and i’ll give brainly

Answers

Answer:

No.

Step-by-step explanation:

The x values (inputs) are used multiple times (the 4 has 2 arrows coming out of it). Only y values can be repeated, but not X values.

If this truly helps you, help me out too, and thank me.

-Xax

Answer:

No

Step-by-step explanation:

A function gives only one output per input, which means an x value can only give one y value. Assuming the right side is f(x) and the left is x:

-4 points to both 12 and 15 which isn't possible for a function

g(x)=x^2-5x
f(x)=2x+1
Find (g-f)(x)

Answers

Answer:

 (g-f)(x) =  x²-7x -1

Step-by-step explanation:

hello :

g(x)=x²-5x        f(x)=2x+1      

(g-f)(x) =g(x) - f(x) = x²-5x- (  2x+1 ) =  x²-5x -   2x-1

 (g-f)(x) =  x²-7x -1

A store owner paid $15 for a book. She marked up the price of the book by 40% to determine its selling
price.
Part A
What is the selling price, in dollars, of the book?
Enter your answer in the box.
$
Part B
A customer buys a different book that has an original selling price of $38. The bodk is discounted 25%.
The customer must pay a 6% sales tax on the discounted price of the book.
What is the total amount, in dollars, the customer pays for the discounted book?
Enter your answer in the box.
$

Answers

Answer:

The Part A answer would be 25% selling price. For Part B 10% would be the retail for the book.

Step-by-step explanation: 40% the less price 25% then next 25% less 10%.

25. Which two conversions are correct?
A. 7 mm = 70 cm
B. 7 cm = 0.07 m
C. 7,000 m = 7 km
D. 0.7 cm = 70 mm
E. 7 m = 7,000 km

Answers

Answer:

The answer is B and C

Step-by-step explanation:

1 Meter is equal to 0.001 Kilometer

1 Centimeter is equal to 0.01 Meters

The unit conversions which has the true measurements are

a) 7 cm = 0.07 m

b) 7,000 m = 7 km

What is unit conversion?

In order to translate measurements of a particular amount between different units, a mathematical conversion factor is usually used. This modifies the measurement of the quantity without altering its effects.

The particular circumstances or the intended result control the conversion process. This may be governed by law, a contract, a list of technical specifications, or other publicly available standards.

A precise conversion from one system to another is necessary for some measures in order to maintain the precision of both the original measurement and the conversion.

Based on the connection between a particular pair of original units and a particular pair of target units, each conversion factor is chosen.

Given data ,

Let the unit conversion be represented as A

Let the first measurement be p

where the value of p is

p = 7 cm

From the unit conversion , 1 m = 100 cm

So , 7 cm = 0.07 m

And , let the second measurement be q = 7,000 m

From the unit conversion , 1 km = 1,000 m

7,000 m = 7 km

Hence , the unit conversions are solved

To learn more about unit conversion click :

https://brainly.com/question/19420601

#SPJ2

Answer plz i will give brainliest

Answers

Answer:

B

Step-by-step explanation:

Can you help I’m in middle school and cant get this!

Answers

11) h=9

12)h=3.75

you have to write the equation for area and then substitute the area and side length. Then you solve the equation using algebra

The diameter of a circle is 10 ft. Find its area to the nearest tenth.

Answers

Answer:

15.70

Step-by-step explanation:

Answer:

78.5

Step-by-step explanation:

Formula: a = πr², r = d/2

Given: π = 3.14, d = 10

Sub: a = (3.14)r²

Find r.

r = 10/2

r = 5

Sub: a = (3.14)5²

Simplify: a = (3.14)25

Solve: a = 78.5

The answer is 78.5.

If this truly helped you, help me out by thanking me.

-Xax.

Marty has 1 dozen eggs. He needs 4 eggs to bake a cake.How many cakes can he bake.

If you see this your lucky.
You will get 80 points if you answer this.
This is easy

Answers

Answer:

3

Step-by-step explanation:

12 didved by 4 is 3

Answer:

3 cakes

Step-by-step explanation:

3 cakes can be bake with dozen if eggs

Write the proportion.
8.5 hours is to 3.4 hours as
7.0 hours is to 2.8 hours?

Answers

8.5/3.4 = 7.0/2.8
hope this helps

HELP PLEASE! MATHHHHGGKSNSJSJ

Answers

Answer:

192y16

Step-by-step explanation:

mark me brainlist

Find the zeros of the function: p(x)=(x−1)(x^2−2x−2).

Answers

Answer:

x = 6, x = -4

Step-by-step explanation:

#3 please Question Is in the photo above please help me extra points will be given

Answers

Answer:

the answer to the problem is d

the answer is D please thank me:) i need points

A sphere has a radius of 2 m. Calculate its surface area. Round to the nearest whole number
a
b.
50 sq.m
113 sq.m
C.
d.
212 sq.m
103 sq.m
Please select the best answer from the choices provided
A

Answers

Answer:

50 square meters should be your answer

Step-by-step explanation:

The formula of the Surface Area of a sphere is 4πr2 (4*r*squared)

if the radius of the sphere is 2 m, our formula will become 4π(2)[squared]

let us break this down into two pieces:

4π = 12.5663706144

2[squared] = 4

Then when we multiply our answers:

12.5663706144 * 4 = 50.2654824576

since it says to round it to the nearest whole number, we can round this to 50

I HOPE YOU HAVE A WONDERFUL DAY AND GET THIS CORRECT!!!

Please rate and heart if my answer helped you!!!!

NEEDEDASAP PLEASE HELP I WILL GIVE BRAINLIEST

Answers

Answer:

16. 150ft

17. 120ft

18. 14sq in

19. 12ft

20. 100miles

21. 87ft

22. 24in        23. 31in

Step-by-step explanation:

brainliest?

Which of the options don’t belong pls look at photo

Answers

The third option seems to be parallel to A so l think your answer would be B.

4.3 is ten as much as

Answers

Answer:

.43

Step-by-step explanation:

help with math!!
Find the volume of each right rectangular prism

Answers

Answer:

7: 7.75   8: 6.98

Step-by-step explanation:

Solve the exponential equation: 6–2x = 62 – 3x

Answers

Answer:

the answer should be 56 :)

Step-by-step explanation:

Answer:

x=56

Step-by-step explanation:

Try to end up with only a single variable on one side.

Step 1: Add 3x to each side of the equation to keep them both equal. Example: 6-2x+3x=62-3x+3x

or

6+x=62

Step 2: Subtract 6 from both sides. Example:

6+x-6=62-6

or

x=56

Step 3: You found the answer. Hope this helps and is correct.

Pls answer I got 15 points and omg pls be correct

Answers

Answer:

$119.79

Step-by-step explanation:

Formula:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

Given:

P = 90

r = 0.1

t = 3

n = 1

Work:

[tex]A=P(1+\frac{r}{n} )^{nt}\\\\A=90(1+\frac{0.1}{1} })^{3*1}\\\\A=90(1.1)^3\\A=90(1.331)\\A=119.79[/tex]

WILL MARK BRAINLIEST
Solve for x.

60
10
20
120

Answers

Answer:

x = 10

Step-by-step explanation:

Let's draw the center of the circle S and the segments SE and SD.

SE is perpendicular to EF (as EF is tangent to circle).

That means FED + DES = 90deg

We also know that DSE = 120deg

And because the SED is an isosceles triangle, we know that angle measures for DES and SDE are equal.

DES = (180deg - 120deg) / 2 = 30deg

FED = 90deg - DES = 90deg - 30deg = 60deg

7x - 10 = 60

7x = 70

x = 10

-2/3 over 15 simplfied

Answers

Answer:

Hi! The answer to your question is -10

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

V.
Simplify the expression using the distributive property.
14.
3(2x - 5)
I’m

Answers

Answer: 6x-15

Step-by-step explanation: 3 times 2x equals 6x and 3 times -5 equals 15, which makes 6x-15

Answer:

6x-15

Step-by-step explanation:

Distributive property means that you would be distributing.

So, 3 · 2x = 6x

3 · -5 = -15

You cannot simplify any further, so the final answer is 6x - 15.

Let me know if you need further clarification, and if this helped, feel free to award a Brainliest :P

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