utomobiles arrive at the drive-through window at a post office at the rate of 7 every 10 minutes. The average service time is 7 minutes. The Poisson distribution is appropriate for the arrival rate and service times are exponentially distributed. (Note: the given equations are NOT necessarily in the correct order.) What is the average time a car is in the system?Formulas for 13.17 What is the average number of cars in the system? What is the average time cars spend waiting to receive service? What is the average number of cars in line behind the customer receiving service? What is the probability that there are no cars at the window? What percentage of the time is the postal clerk busy? What is the probability that there are exactly two cars in the system?

Answers

Answer 1

Answer:

The answers to the questions are well numbered below.

Step-by-step explanation:

We have arrival rate

λ = 7 in every 10 minutes = 0.7

Service time u = 7 minutes

1. Average time a car is in system

W = 1/u - λ

= 1/7-0.7

= 0.1587

= 0.16 to 2 decimal places

2. Average number of cars in system

= λ/u-λ

= 0.7/7-0.7

= 0.1111

= 0.11 to 2 decimal places

3. Average time that cars spend to receive service

= λ/u(u-λ)

= 0.7/7(7-0.7)

= 0.01587

= 0.016 to 2 decimal places

4. Average number of cars in line behind customer receiving service

= λ²/u(u-λ)

= 0.7²/7(7-0.7)

= 0.49/44.1

= 0.011 to 2 decimal places

5. Probability no cats at window

1-λ/u

= 1-0.7/7

= 0.9 = 9%

6. Percentage of time postal clerk is busy

= λ/u = 0.7/7 = 0.1 = 10%

7. Probability of exactly 2 cars

= λ²e^-λ/2!

= 0.7²e^-0.7/2!

= 0.1217

= 12.17%


Related Questions

The value of a car depreciates every year ata constant rate, Gary bought a car for $25,000 in the year 2013. If the value of the car is expected to depreciate 15% annually, what can Gary expect for the value of his car in the year 2017?

Answers

Answer:

Step-by-step explanation:

15×4(which is the difference in the year)=60%(this is the depreciation percent)

The value of the car in 2017=40/100×25000=$10000

(c) Mr. Young suggested contacting a travel agent to see whether they could get a lower price. The agent found a price that was 35% lower than $1879. What was the price the travel agent found? Show your work.

Answers

Answer: The travel services sector is made up of a complex web of relationships between a variety of suppliers, tourism products, destination marketing organizations, tour operators, and travel agents, among many others. Under the North American Industry Classification System (NAICS), travel services comprises businesses and functions that assist with planning and reserving components of the visitor experience (Government of Canada, 2014).

A 7% – 8% commission level is somewhat standard with host agencies working with self sufficient agencies. Independent travel agents earning 90% – 100% of the commission are usually high volume seasoned agents that require little to no support from the host agency.

(sorry if im wrong)

:(

I need help with this question thanks!

Answers

Answer:

n= -10

Step-by-step explanation:

50-20= 30 so -3n=30. So n= -10.

Answer:

n=-10

Step-by-step explanation:

-3n+20=50 move constant to the right hand side

-3n=50-20 subtract the numbers

-3n=30 divide both sides by -3 and the answer is n=-10

Which is the correct answer?


Note: (if you give me a silly or absurd answer I will report you)​

Answers

Answer:

D. None are true.

Step-by-step explanation:

f(x)=-2x-1

g(x)=-1/2x+1/2

perpendicular( inverse ) slope = -1

-2*-1/2 = 1, so not perpendicular.

III is wrong.

So, it can't be C.

Since they are not perpendicular, if you place x in one, the other will be wrong, same with the other, so not A or B.

The correct answer is D.

Hope this helps plz hit the crown :D

Use the following coordinate plane to write the ordered pair for each point.


If you can PLZ help

Answers

Answer:

For A it is 0,5

For B it is 1,3

For C it is 4,3

How do you show 72 × 139

(doing the work)

Answers

Answer:

10008

Step-by-step explanation:

Graph the equation by plotting three points. If all three are correct, the line will appear. 2y = 5x + 11​

Answers

Answer: (-1,3) (-2, 0.5) (0,5.5)

Step-by-step explanation:

i will give you brainliest and give you 50 point if you help me

Answers

Answer:

10:16

Step-by-step explanation:

If there are 16 total animals and 10 of them are racoons, then 6 are squirrels which makes them 10:6 ratio.

(BTW I LOVE UR BAKUGOU PFP)

Answer:

the answer will be 10:16

Step-by-step explanation:

what is the average marks of 215​

Answers

Answer:

Average marks are 60.

❤️❤️❤️❤️

.......

Find the unit prices to the nearest tenth of one cent 12 oz for $2.10

Answers

Answer:

Concept: Unit Price & Algebraic Representation

You have 12 oz You have a total price of 2.10 Hence you divide 2.10/12 Your result to the nearest tenth is 0.2 Rate positively and give brainlist

Evaluate. Write your answer as a fractionin simplest form. 2 1/6 - (-8/3) + (-4 7/9)=

Answers

Answer: 1/20

Step-by-step explanation:

A farmer divided his piece of land into 2 equivalent groups and the quality of the soil is the same in both of these groups. He used fertilizers for the first group of land. He did not use fertilizers for the second group of land. At the end of the season, he measured the yield of the crops in these 2 groups. Is the study observational or experimental

Answers

Answer:

Observational would mean that he (farmer) has no direct impact or change on the statistical study.Experiment would mean that he imposed a certain treatment up a group in this case it would be the land.Hence we can determine that the the study was an experimental one.

which one of these
do you know which one of these will help me like 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 6 * 3 6+6+
3*66+3

Answers

Answer:

447

Step-by-step explanation:

Answer:

447

Step-by-step explanation:

Pls help I’m so confused! What would be the last step?

Answers

Answer:

SSS(Side,Side,Side)

Step-by-step explanation:

In the previous reasons you have proven that all of the sides of each triangle are equal to the corresponding side. You can use SSS to prove that the two triangles are congruent.

The ratio of fifth graders to sixth graders is 4 to 5. If one of the grade totals is 160,
select the possible totals for the other grade.
200
160
40
32
128

Answers

Answer:

Hi how are you doing today Jasmine

Answer:

40 and 32 i think

Step-by-step explanation:

i did it and im pretty sure its 40 and 32

Solve y=3x-4 and y=2/5x+ 9
using systems of linear eqautions​

Answers

Answer:

(5 , 11)

Step-by-step explanation:

[tex]Equation\ 1\\\\\y=3x-4\\\\Equation\ 2\\\\\y=\frac{2}{5}x+9[/tex]

There are three ways to solve the systems of linear equations

1) Elimination method - where we add/subtract the equations to eliminate the variable

2) Substitution method - where we substitute one variable in the form of another variable

3) Graphing method - where we sketch the graphs of both the equations and if they intersect that point would be the solution and if they don't there is no solution

We use the second method the Substitution method which is the easiest in my opinion.

Here we got two equations so lets just substitute equation 1 with equation 2 meaning insert equation 1 into equation 2 like here:

[tex]3x-4=\frac{2}{5}x+9[/tex]

as you can see here we eliminated the variable y by substituting y in terms of x.

Now we just solve the equation algebraically

[tex]3x-4=\frac{2}{5}x+9\\3x-\frac{2}{5}x=9+4\\\frac{15x-2x}{5} =13\\\\\frac{13x}{5}=13\\\\13x=65\\x=65/13\\x=5\\[/tex]

The value of x is 5 now to find the value of y we insert the value of x in any two equations lets insert the value of x into equation 1

[tex]y=3x-4\\y=3(5)-4\\y=15-4\\y=11[/tex]

so the solution of the system of linear equations is (5 , 11)

kingston made a pot of 29 1/2c of gumbo soup. His family ate some of the gumbo for lunch. this changed the amount of the pot by -7 3/4c. then he gave some gumbo to his neighbors. This changed the amount in the pot by -6 1/2c. How many cups of gumbo are left in the pot?
please answer quickly!!!!!!!

Answers

Answer:

29 1/2-7 3/4 is 21.75

Then 21.75-1/2 is 21.25

Step-by-step explanation:

There is [tex]15\frac{1}{4}[/tex]c of gumbo soup left after Kingston's family ate and he shared some with his neighbor.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Kingston made a pot of [tex]29\frac{1}{2}[/tex] of gumbo soup.

His family ate some of the gumbo for lunch. this changed the amount of the pot by [tex]-7\frac{3}{4}[/tex].

So, Reaming gumbo soup is ([tex]29\frac{1}{2} - 7\frac{3}{4}[/tex]).

= (59/2 - 31/4).

= (118 - 31)/4.

= 87/4c of gumbo soup.

Then he gave some gumbo to his neighbors. This changed the amount in the pot by -6 1/2c.

= (87/4 - 13/2)c.

= (87 - 26)/4c.

= 61/4.

= [tex]15\frac{1}{4}[/tex]c of gumbo soup.

learn more about fractions here :

https://brainly.com/question/10354322

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IF CORRECT I WILL GIVE BRAINLIEST!!

Please help me do this problem!

Screenshot below!

Answers

Answer:

9

Step-by-step explanation:

4/5 times 1/5 PLZ ANSER I NEED HELP

Answers

Answer:

.16 or 4/25

Step-by-step explanation:

Answer:

4/25

Step-by-step explanation:

[tex]\frac{4}{5}[/tex]×[tex]\frac{1}{5}[/tex]

multiply tops together and denominators together and get [tex]\frac{4}{25}[/tex]

find the multiplicative inverse of 7 in mod 9

Answers

Answer:

-1/7

Step-by-step explanation:

The inverse of 7 is simply the opposite

Please solve this question.​

Answers

Answer:

An equilateral triangle is formed.

Step-by-step explanation:

Since you construct two lines of 60° at points P and Q, the two ends of the line, you construct a triangle with two angles as 60°.

Hence, with the knowledge that the angle sum of a triangle is 180°, we can find that the remaining angle is [tex](180\textdegree - 60\textdegree - 60\textdegree)[/tex] = [tex]60\textdegree[/tex].

Therefore, a triangle with all angles at 60° is an equilateral triangle.

Hope this helped!

Mr. Heath organizes a six-game tournament where players will
• earn 2.2 points for every game won (W),
• earn 1/4 point for any game ending in a tie (T), and
• lose 3 points for every game lost (L).

Tally a score for an imaginary player.
Make sure the player plays all six games and has at least one win, one loss, and one tie.
Write and solve an equation to find the player’s total score.

Answers

9514 1404 393

Answer:

  (W, T, L, S) = (3, 2, 1, 4.1)

Step-by-step explanation:

For some number of wins (W), ties (T), and losses (L), the player's score will be ...

  score = 2.2W +0.25T -3L

For 3 wins, 2 ties, and 1 loss, the player's score is ...

  2.2(3) +0.25(2) -3(1) = 6.6 +0.5 -3 = 4.1

Can someone show me how to do this problem and I need help!!

Thank you!!

Answers

Answer:

[tex] \frac{6}{19 } [/tex]

Step-by-step explanation:

6 + 5 + 7 + 1 + 0 = 19

What is the value of x when y=6

Answers

Answer:

When x = 12, y = 4.

Step-by-step explanation:

If

y

x

we can write that

y

=

k

x

where k is a constant of proportionality.

Using the values given:

6

=

18

k

k

=

1

3

y

=

1

3

12

=

4

It took Davina 45 minutes to clean her room. How many seconds did it take her

Answers

Answer:

2700

Step-by-step explanation:

i think

What is an equation parallel to y=3x-5

Answers

Answer:

ANY line that has a slope of 3, and any y intercept other than -5.

Step-by-step explanation:

Parallel lines have the same slopes, but different y intercepts.

So, it would be ANY line that has a slope of 3, and any y intercept other than -5.

here are a few examples:

y=3x-17

y=3x+4

y=3x+3293248032843209.3432492384032984032984023840398249082

y=3x+5

y=3x-1

y=3x

What is the value of x? enter your answer in the box.

Answers

Answer:

X = 20

Step-by-step explanation:

3x + 50 = 6x -10

3x - 6x = -10 - 50

-3x = -60

x = -60/-3

x = 20

Answer:

x = 20

Step-by-step explanation:

Vertically opposite angles are congruent.

6x - 10 = 3x + 50

       6x = 3x + 50 + 10

       6x = 3x + 60

6x - 3x = 60

        3x = 60

          x = 60/3

x = 20


Mrs. Rogers sold 49 out of 78 crafts at the fair. What percent of her crafts did she sell? Please show work!

Answers

Answer:

62 32/39%

Step-by-step explanation:

[tex]\frac{49}{78}*\frac{100}{1}=\frac{4900}{78}=\frac{2450}{39}=62\frac{32}{39}%[/tex]%

The percentage of Mrs. Rogers crafts sold is 62.82%.

Given that, Mrs. Rogers sold 49 out of 78 crafts at the fair.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Percent of crafts sold =Number of crafts sold/Total number of crafts ×100

= 49/78 ×100

= 0.6282×100

= 62.82%

Therefor, the percentage of Mrs. Rogers crafts sold is 62.82%.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

An artist has completed 1/4 of paintings in 2 weeks. At what rate is she working?

Answers

Answer: the rate is (1/8) paintings per week

Step-by-step explanation:

We usually define the rate as the amount of work done in some unit of time.

In this case, we know that the artist does 1/4 of a painting in 2 weeks, then the rate can be written as:

(1/4)/2  paintings/week = (1/8) paintings/week.

This means that the rate is (1/8) paintings per week, this is the weekly rate at which she works.

The product of a number and negative three is twenty-seven. Which of the following could represent this statement?

Answers

Answer:

sorryyyyyuuuuuuuuuuuuuuuuuuu

Answer:

-3n = 27

Step-by-step explanation:

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