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

Which statement best describes how the media influence policy development?
The media keep lawmakers informed of what is happening in government.
VThe media inform the public, who can then give their opinions to policymakers.
NThe media present opinions and ideas that inspire policymal kers
The media make it easier for government offcials to com
hone another.
M O

Answers

The media keep lawmakers informed of what is happening in government this is a check and balance one check the other for things to be solved

Answer:

its A on edge 2021

Step-by-step explanation:

your welcome :)

Find the surface area

Answers

Answer:

the surface area is 25ft!

add 8 and 17 that both angles are related towards the sum of the surface

Step-by-step explanation:

Hopefully this helped! And if u get the chance go to https://brainly.com/question/19887114

and rate the drawing! :)

What is the remainder of 46 divided by 8?​

Answers

Answer:

The remainder is 6 !

Step-by-step explanation:

The remainder of the equation A = 46 / 8 is r = 6

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the remainder of the equation be denoted as = r

Let the dividend number be = 46

Let the divisor number be = 8

Now , the equation is represented as = A

The value of A is given by

A = 46 / 8

Now , the remainder will be

5 x 8 = 40

Substituting the values in the equation , we get

Dividend - 40 = 6

Therefore , the remainder of the equation A is 6

Hence , The remainder of the equation A = 46 / 8 is r = 6

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Yoko pays $19.60 for a pack of 4 towels. Find the unit price in dollars per towel. If necessary, round your answer to the nearest cent.

Answers

One towel would cost $4.90

how much water is left in Shelby‘s original container?

Answers

I beileve the answer is D) (last option)
i used a calculator so ‍♀️

The amplitude for the trigonometric functions tangent, cotangent, secant, and cosecant are not defined
A.) True
B.) False

Answers

Answer:

True

Step-by-step explanation:

They do not have an amplitude.

Solve for the value of w.
(8w+6)"

Answers

2(4+3)

hope it helps ;)

The average time it takes for a person to experience pain relief from aspirin is 25 minutes. A new ingredient is added to help speed up relief. You run an experiment to verify if the new product is better. You test out the new aspirin on 70 people. Those seventy people had a mean time of 24 minutes and 12 seconds with a standard deviation of 3 mins. Find the test statisic and p-value for your experiment.

Answers

Answer:

-2.23 ; 0.012874

Step-by-step explanation:

Given that :

Population mean (μ) = 25 minutes

Same mean (x) = 24min 12 seconds = 24.2 minutes

Standard deviation σ = 3

Sample size (n) = 70

Test statistic :

Using the relation :

Tstatistic = (x - m) / σ/sqrt(n)

Tstatistic = (24.2 - 25) / (3/sqrt(70)

Tstatistic = - 0.8 / 0.3585685

Tstatistic = - 2.2310939

= - 2.23

The P value can be obtained using a. P value Calculator :

P at α = 95% and test statistic = - 2.23

Hence, p = 0.012874 using calculator

The systolic blood pressure (BP) of adults in the USA is nearly normally distributed with a mean of 117 and standard deviation of 17 . Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher. (a) Around what percentage of adults in the USA have stage 2 high blood pressure

Answers

Answer:

the percentage of adults have stage 2 high blood pressure is 0.0057

Step-by-step explanation:

The computation of the percentage of adults have stage 2 high blood pressure is shown below;

Given that

mean = 117

Standard deviation = 17

and, the sample is 160

Now based on the above information,

The percentage is

= (Sample - mean) ÷ (standard deviation)

= (160 - 117) ÷ (17)

= 2.529

p(z>2.53) = 0.0057

hence, the percentage of adults have stage 2 high blood pressure is 0.0057

Write an equation for the line perpendicular to 4x - 12y = 2 and passing through point (10, -1)

Answers

Answer:

3x+y=-31

Step-by-step explanation:

[tex]4x - 12y = 2\\12y = 4x-2\\y=\frac{x}{3}-\frac{1}{6}[/tex]

Slope of perpendicular line is -3.

[tex]y=-3x+b[/tex]

Sub in the point (10, -1)

[tex]-1=-3(10)+b\\-1=30+b\\b=-31\\y=-3x-31\\3x+y=-31[/tex]

6. $80 is divided between Ethan and Michael such
that one quarter of Ethan's share is equal to one
sixth of Michael's share. How much does each of
them receive?

Answers

Answer:

it could be 32 if im correct

Step-by-step explanation:

Answer:

32 is correct........

Help me please what should I do

Answers

Answer:

It’s either 1 or 2

Step-by-step explanation:

Answer:

Mp=QN

Step-by-step explanation:

The relationship between the number of calories Hannah burns while working out can be represented by y = 12x, where x is the number of minutes and y is the number of calories burned. Which of the following could be the graph of this situation?

Answers

Answer: i canot make a graph but i will do how many caloris were burned ever minute

Step-by-step explanation:

Lots of points due today help

Answers

Answer: ok

Step-by-step explanation:

11) 75 percent. this is bc 32 - 8 is 24, and 24 of 32 as a percentage is 75 percent.

12) 25 percent, bc 15 percent of 60 is 25 percent

Answer: 75%

75%

Step-by-step explanation:

11. 32-8=24 boys

24 boys / 32 in the class = 0.75

0.75 x 100 = 75 %

12. 45/60= 0.75 or 75%

-15.8= y-24.3 please solve and get back quickly

Answers

Answer:

Y=17/2=8.500

I just took a test with this question

84.637-28.56 solve this for me and show work

Answers

Answer:

56.077

Step-by-step explanation:

 84.637

- 28.560

  56.077

Answer:

56.077

Step-by-step explanation:

Work is shown in picture above

6th grade math ok thanks

Answers

192.78

Hope this helps!

✧◝(⁰▿⁰)◜✧

Answer:

192.78

Step-by-step explanation:

0.34 X 567 = 192.78

c. 3 bananas cost $0.99. At this rate, how much do 5 bananas cost? Explain how you know.

Answers

The answer is $1.65

Answer:

$1.65

Step-by-step explanation:

You can get the cost of each banana by using the division operation. All you have to do is to divide $0.99 by 3.

0.99 ÷ 3 = $0.33

Each banana costs $0.33

Now that you know the cost of each banana, you may now get the cost of 5 bananas by using the multiplication operation. All you have to do is to multiply $0.33 by 5.

0.33 x 5 = $1.65

Therefore, 5 bananas cost $1.65.

Can we have a happy conversation that will make my day? Im happy but I just wanna laugh (be kid friendly)

Answers

Answer:

Happy conversation

Step-by-step explanation:

Be happy. It's good for you.

Answer:

Yes sure want to be friends?

:)

what's the rate of change and is it a linear function​

Answers

Answer:

The rate of change is -4.5 and the relation of the table is a linear function

Step-by-step explanation:

Linear function.

A linear function can be identified because the rate of change is constant at every point of its domain.

The graph of a linear function is a straight line with a constant slope.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We'll show the relation shown in the table is a linear function. We'll calculate the slope for any random pair of points. For example, using (2,83) and (3,78.5):

[tex]\displaystyle m=\frac{78.5-83}{3-2}=-4.5[/tex]

Now for (7,60.5) and (14,29):

[tex]\displaystyle m=\frac{29-60.5}{14-7}=\frac{-31.5}{7}=-4.5[/tex]

Proceeding in a similar way with any pair of points, the slope will always result in the same value, thus the rate of change is -4.5 and the relation of the table is a linear function.

3 + 5 is​ ___ units from ​3, in the​ _______ direction.

Answers

Answer:

7 unit

Step-by-step explanation:

mark me as brainliest and follow and like my answer

In a recent survey of 1002 people, 701 said that they voted in a recent presidential election. Voting records show that 61% of eligible voters actually did vote. a) Find the 95% confidence interval estimate of the proportion of people who say that they voted.

Answers

Answer:

The 95% confidence interval estimate of the proportion of people who say that they voted

(0.67122 , 0.72798)

Step-by-step explanation:

Step(i):-

In a recent survey of 1002 people, 701 said that they voted in a recent presidential election.

Sample proportion

                          [tex]p = \frac{x}{n} = \frac{701}{1002} = 0.6996[/tex]  

Step(ii)

The 95% confidence interval estimate of the proportion of people who say that they voted

[tex](p^{-} - Z_{0.05} \sqrt{\frac{p(1-p)}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{p(1-p)}{n} } )[/tex]

[tex](0.6996 - 1.96\sqrt{\frac{0.6996(1-0.6996)}{1002} } , 0.6996 + 1.96 \sqrt{\frac{0.6996(1-0.6996)}{1002} } )[/tex]

(0.6996 - 1.96 X 0.01448 , 0.6996 + 1.96 X 0.01448)

(0.6996 - 0.02838 , 0.6996 + 0.02838)

(0.67122 , 0.72798)

Final answer:-

The 95% confidence interval estimate of the proportion of people who say that they voted

(0.67122 , 0.72798)

Emma wants to build a fence around the perimeter of her lawn. Each foot of fence costs $2. The rectangular lawn has an area of 364 square feet and a width of 14 feet. How much will the entire fence cost?

Answers

Answer:

[tex]\$160[/tex]

Step-by-step explanation:

To find the cost of the entire fence, we need to first determine the lawn's length before calculating its perimeter.

Area of rectangular lawn = [tex]lw[/tex] (formula for the area of a rectangle)

[tex]364=14l[/tex]

[tex]l=26[/tex] feet

Now that we have the lawn's length and width, we can calculate the perimeter:

Perimeter [tex]= 2l+2w[/tex] (formula for the perimeter of a rectangle)

[tex]=2(26)+2(14)[/tex]

[tex]=80[/tex] feet

Since each foot of lawn costs $2, then the cost of the entire fence will be:

[tex]80\times2 = \$160[/tex]

∴ The entire fence costs [tex]\$160[/tex].

Hope this helps :)

WILL GIVE BRAINLEIST HELP ASAP

Answers

Answer:

x = 12

y = 9

Step-by-step explanation:

[tex]\triangle ACD \cong \triangle BCD.. (given) \\\\

\therefore AC \cong BC\\\\

\therefore m(AC) = m(BC) \\\\

\therefore 2x = x + 12\\\\

\therefore 2x - x = 12\\\\

\therefore x = 12\\\\

Similarly \\\\

BD \cong AD\\\\

\therefore m(BD) = m(BD) \\\\

2y - 4= y + 5\\\\

2y - y = 4 +5\\\\

y = 9

[/tex]

HELP ME WITH MY I-READY IM TRYING TO GET STUDENT OF THE MONTH PLZ HELP or it will get juicy
25 points

Answers

Answer: its four inches

Step-by-step explanation:

one green block is 1 inch and there is 4 green blocks meaning that it is four inches

Answer:

4 inches

Step-by-step explanation:

Does anyone know the answer to this problem. If so please help.

Answers

It’s the 2nd option because both B and E intersect

determine the truth values of p, q, and r that would make the statement false. Explain your reasoning. p→(q∨~r)   ​

Answers

Answers:p = trueq = falser = true

======================================

Explanation:

For a conditional to be false, the antecedent must be true and the conclusion must be false. So the format is (true) --> (false) for the overall conditional to be false.

Since the antecedent must be true, this means p = true. We can shorten this to say p = T, where T stands for "true".

Now we must make (q v ~r) be false.

This is only possible if both pieces q and ~r are false. An "or" statement, aka disjunction, is true if either piece is true; otherwise it's false.

So q = F, where F stands for "false" and ~r = F as well.

If ~r = F, then r = T. Recall the squiggly line or tilde is basically the negation operator. It does the opposite of the statement.

PLEASE HELP FAST! 20 POINTS!!!

Answers

Answer:

27%

Step-by-step explanation:

3/11 = 0.27272727

so about 27%

Answer is

27%


step by step:

3/11 as a decimal is 0.27272 so on so on so Yep 27%

Help need it asap
8th grade math

Answers

Answer:

x = 7

Step-by-step explanation:

Given

2(2x + 1) = 30

4x + 2 = 30

4x = 30 - 2

4x = 28

x = 28/ 4

x = 7

Hope it helps :)

Answer:

x= 7

Step-by-step explanation:

2(2x+1) =30

2×2x+2×1=30

4x+2=30

4x=30-2

4x=28

x=28÷4

x=7

2x-20 solve for x in an equilateral triangle

Answers

Answer:

x=40

Step-by-step explanation:

triangle = 180 degrees

Equilateral so 3(2x-20) = 180

6x-60=180

6x=240

x=40

Hope this helps!

Please hit the crown!

Merry Christmas!x

Other Questions
How many solutions does the equation 5x + 10 = 5x 8 have PLZ HELP WITH THIS PROJECT FOR 8TH GRADE SCIENCE EDGENUTY plz send file Dance club has a $20 start up fee and a $5 monthly fee M= B=Y= The father is three times as old as his son, Joe. Joe is four years older than his sister, Alexa. Alexa is twice as old as Rocky. Let R equal Rocky's age. Write an algebraic expression. Please Help! If two sides of a triangle are 7 and 14, the third side may be? 1. What circumstances or event is Dr. Martin Luther King, Jr. responding to in this letter? (5) Hint: Who is headdressing the letter to and why? does this ratio form a proportion? show ur work, please! EXPLAIN THIS FORMULA PLS HELP ME The perception of a correlation when there is none is: hind-sight bias hind-sight bias illusory correlation illusory correlation knew-it-all-along phenomenon knew-it-all-along phenomenon critical thinking someone please help!!las oraciones con los verbos entre parntesis en pretrito.1. Yo les(dar) a mis hijos cinco boletos para el concierto.2. Andrea me(decir) que Antigua es una ciudad muy bonita.3. T(venir) a visitarnos el ao pasado.4. Anoche mis padres(pedir) una pizza para cenar.5. Nosotros(tener) un examen de Espaol ayer. audeze oriented physics professor drives 3.25 km North than 4.75 km west and then 15 km South find the magnitude and direction of the resultant vector Let me ask you a question is any person any better than another? NO so i wrought this in reply to a friend of mine who also thinks that everyone is equalI agree with you. Because even if trump and a few...... oopsy moments, he still is a human being and still deserves the opportunity to prove himself normal or maybe even worthy. which brings me to the fact that even if you wanted to vote for trump/biden people should not be accusing trump supporters they don't care about blm or that biden supporters don't care about the police. Voting for who you think should be the next president is your choice and people have zero right to judge people based on that. So what if trump doesn't go around saying how he loves blm or he will stand up for LGBTQ+, that doesn't mean he doesn't care about them nor does it mean he is trying to hurt that type of community. So to all of you who think so, don't because every human on this earth deserves a chance to speak their opinion. Thank you> madilburow27 Convert - 3. - 3. - 3 to exponential form. What type of biomolecule are enzymes?CarbohydratesProteinsLipidsNucleic acid A store at the mall was closing. Everything in the store was 75% off. If youwanted to buy a $200 jacket, how much did it actually cost you? * Q7: Who has the supreme power-states or national government?Necessary and proper clause : What is 3/8 divided by 4/1 6X - 2 + 5x + 7 *whats the answer? 2x+y=428x+7y=36Using the process of eliminations. Solve for the value of f: (6 + 4) + 5f = 10