A city planner is considering adding a pedestrian crossing signal to a particular intersection. They know that on average 11.5 cars go through the intersection each minute. It takes an average person 10 seconds to walk across the intersection. Name the distribution appropriate to model the time to the next car crossing this intersection (in minutes). Use the proper notation, and include the value of the distribution parameter (s).

Answers

Answer 1

Answer:

The number of cars that go through the intersection each minute X has Poisson distribution with parameter λ = 11.5

and the PMF of X is;

P (X = x) = e^-λ ( λˣ / x! ); where x = 0, 1, 2, 3, , , , , ,

Step-by-step explanation:

Given that;

on average eleven and a half  cars go through the intersection each minute and It takes an average person ten seconds to walk across the intersection.

Therefore

The number of cars that go through the intersection each minute X has Poisson distribution with parameter λ = 11.5

and the PMF of X is;

P ( X = x ) = e^-λ ( λˣ / x! ) ;

where x = 0, 1, 2, 3, , , , , ,


Related Questions

A random number generator is set to generate integer random numbers between 1 and 10 inclusive following a uniform distribution. What is the probability of the random number generator generating a 7

Answers

Answer:

1/10 or 10%.

Step-by-step explanation:

If the generator includes the numbers 1 and 10 then there are a total number of 10 possible number outcomes that the number generator can generate. Out of all of these outcomes, only one of those would be generating a 7. Therefore, the probability of the generator generating a 7 would be 1/10 or 10%. This is assuming that it only generates 1 number.

For which x is f(x)=-3?
-7
-4
4
5

Answers

It is going to be (-7)

100pts!!!PLZ answer my question with STEP BY STEP EXPLANATION... Plz for God's sake PLZ....​

Answers

Answer:

Don't know sorry

Step-by-step explanation:

Thanks for the points

Answer:

not sure

Step-by-step explanation:

State Ceva’s theorem​

Answers

Ceva's Theorem states that given any triangle △ABC, the segments from A, B, and C to the opposite sides of the triangle are concurrent precisely when the product of the ratios of the pairs of segments formed on each side of the triangle is equal to 1.

The light ssssssssssssssssssssssssss

1) What is the area of a rectangle that has side lengths of yard and yard?​

Answers

Answer:

boooooooooomnhbhikbn

Step-by-step explanation:

Answer:

Yards Squared

Step-by-step explanation:

Because multiplication it ends up as squared yards!

Is this correct??????? Someone plz help

Answers

No because you have to subtract 2 for 2 and from 1 which is x is greater than or equal to -1 then you graph that

which of the following quadratic equation is written in standard form?
a.3x-2x ²=7
b.-2x ²-7=-3x
c.-2x-7+3x=0
d.-2x ²+3x-7=0

Answers

Answer:

d. -2x²+3x-7

Step-by-step explanation:

Standard form is: Ax²+Bx+C

Frank and his family are going to a ground opening of circus there is a special price on ticket this weekend tickets cost $36 each this is 60% of the cost of the regular price ticket what is the cost of the regular price ticket show your work ​

Answers

Answer:

$60

Step-by-step explanation:

so to find the discounted price you take the original price and multiply it by the discounted percentage, so to find the original price you take $36 and divide it by 60% and you get $60 as the undiscounted price of the tickets

I need help please I have to finish this

Answers

Hey there!

This diagram shows two parallel lines (they will never intersect). This lines are crossed by another line called a transversal. This simple diagram can help us understand the nature of angles in our world.

The most important number to think about when it comes to this diagram is 180. A full circle is 360 degrees, and half of that is 180. Let's say that you are opening a shoe box. With the lid closed, there is no angle. If you open the lid straight up so that there is an L-shape, you have made a right angle, which is 90 degrees. If you open it so that it makes a line, you are now at 180 degrees. If you were to open the lid in a full circle, that would be 360 degrees, but the lid would probably break off!

We see that a straight line is a 180 degree angle. This means that 3y and the angle on the other side of the transversal right next to it (we'll call this angle A) should add up to equal 180 degrees. Angles that add up to equal 180 degrees are called supplementary angles. Looking again, we see that angle A and the 87 degree angle make up a straight line, so they are also supplementary. If 3y is supplementary with angle A and angle A is supplementary with 87, then 3y must be equal to 87. 3y and 87 are known as vertical angles because they are vertical of each other and meet at a point. Vertical angles are always congruent, so 3y is 87. We can just divide 87 by 3 to figure out what y is: 29.

There are also corresponding angles. These are angles that are the exact same but are in different places. For example, angle 87 is going to be the same thing as the supplementary angle to the bottom left of 3x because they are both to the left of the transversal and below the parallel line. Therefore, 3x is supplementary with 87. If you subtract 87 from 180, then you get 93. We divide by 3 to get x, giving us 31.

So, x=31 and y=29.

I hope that this helps! Have a wonderful day! :D

A college student completed some courses worth 6 credits and some courses worth 4 credits. The student earned a total of 104 credits after completing 21 courses. How many courses worth 4 credits did the student complete?

Answers

Answer:

4

Step-by-step explanation:

Four courses is how many four credit classes the college student took

Sean bought a new sweatshirt that cost $78.00. If tax is 11% how much will Sean pay in total for the sweater?
.

Answers

In total he will pay $86.58.

. Mr. Ahmet, who won a prize of 1 million USD by participating in a quiz show, will

provide a significant return if he uses it in repo, time deposit and bonds. However, careful decisions need to be

made as to which area to invest. If the money is deposited in the bank, the bank pays interest once a month and

pays 16% interest. Mr. Ahmet wants to buy 2 houses, one worth 900000 USD and the other 500000 USD, in the

future, by investing this money in the bank. Accordingly, after how long is it possible for Ahmet Bey to buy these

two houses with the money and income he earned? If you were Mr. Ahmet, how would you advise him to use

this money?​

Answers

Answer:

See below

Step-by-step explanation:

Mr. Ahmet needs:

(900000 + 500000) - 1000000 = 400000

more to have enough money to buy those two houses.

Monthly, he gets interest paid:

1000000*0.16/12 = 13333.33

Time to have required amount is:

400000/13333.33 = 30 months = 2.5 years

Without taking the deposit he would need time:

1400000/13333.33 = 105 months = 8 years and 9 months to buy two houses

He could wait and use the interest to buy houses provided they will still be available and price remains same.

simplify the expression

4.2v - 5 -6.5v =​

Answers

Answer:

-5 - 2.3v

Step-by-step explanation:

You want to combine like terms and since two of the numbers have variables, then you can add them both together

4.2v - 6.5 v = -2.3 v

So... -5 - 2.3v or

-2.3v - 5

either or there both same

Hope this helped!

change these times to 24-hour clock

b
1.15 pm

c
04 05

Answers

Answer:

b)  13:15

c) 4:05 or 16:05 ( u havent given pm or am)

hope it helped u,

pls mark as the brainliest

^_^

Answer:

b. 13:15

c. 04:05

Step-by-step explanation:

in a 24hr clock 12 hrs will be added if it is in the afternoon

since the first one is in pm 12+1 =13:15

the second doesnt have pm so it will remain

Enter the decimal equivalent of 9/12

Answers

Answer:

0.75

Step-by-step explanation:

9/12 = 0.75

0.75 , this should be the correct answer

Mr. Evans is in charge of bringing soda for a party at his work. The store is selling 3 packs for $10. If he needs to bring 9 packs, how much will he pay?

Answers

He needs to pay 30$ to get. 9 packs

Answer:

$30

Step-by-step explanation:

he will pay $30.00 for 9 packs.

The three answers are Neither, SAS, and SSS I will give a brainless if someone could answer it correctly and explain :)

Answers

I think sas I’m not sure though

Which is the correct answer?

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

Answers

Answer:  D) 31

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

Work Shown:

First evaluate f(2)

[tex]f(x) = 4x^3-10\\\\f(2) = 4(2)^3-10\\\\f(2) = 4(8)-10\\\\f(2) = 32-10\\\\f(2) = 22\\\\[/tex]

This means g(f(2)) = g(22). We replace f(2) with 22.

Now evaluate g(22)

[tex]g(x) = \frac{3x-4}{2}\\\\g(22) = \frac{3*22-4}{2}\\\\g(22) = \frac{66-4}{2}\\\\g(22) = \frac{62}{2}\\\\g(22) = 31\\\\[/tex]

Therefore, g(f(2)) = 31.

Answer:

D

Step-by-step explanation:

Let's start with f(2)

Substitute 2 as x in f(x)

4(2)^3-10

32-10

22

now take g(22) (f(x) is equal to 22) and substitute x as 22

(3(22)-4)/2

(66-4)/2

62/2

31

Answer is D

Hope this helps!

what’s slope in this graph?

Answers

Answer:

1/2 !

Step-by-step explanation:

Since it's going up, we know its positive, but if you use RISE/RUN, you would go up 1, then over two, from any point. That makes it 1/2! I went up from the y axis to the next point on the line. I hope that makes sense, but the answer is 1/2!

Have a nice day :D

TRIGONOMETRY REVIEW RATIOS FINDING SIDES & ANGLES PLEASE DUE TOMORROW !!!!

Answers

Using the Trigonometry ratios, the missing sides and angles are:

1. sin R = 5/13

2. sin T = 12/13

3. cos R = 12/13

4. cos T = 5/13

5. tan R = 5/12

6. tan T = 12/5

7. x = 16.5

8. x = 58.9

9. x = 9.2

10. x = 35.9

11. x = 40.7°

12. x = 77.8°

What are the Trigonometry Ratios?

The Trigonometry ratios that can be used to solve any right triangle are given as: SOH CAH TOA.

SOH is: sin ∅ = opp/hyp

CAH is: cos ∅ = adj/hyp

TOA is: tan ∅ = opp/adj.

1. sin R = opp/hyp = 15/39

sin R = 5/13

2. sin T = 36/39

sin T = 12/13

3. cos R = adj/hyp = 36/39

cos R = 12/13

4. cos T = 15/39

cos T = 5/13

5. tan R = opp/adj = 15/36

tan R = 5/12

6. tan T = 36/15

tan T = 12/5

7. Apply CAH:

cos 38 = x/21

x = (cos 38)(21)

x = 16.5

8. Apply TOA:

tan 23 = 25/x

x = 25/tan 23

x = 58.9

9. Apply TOA:

tan 57 = x/6

x = (tan 57)(6)

x = 9.2

10. Apply SOH:

sin 32 = 19/x

x = 19/sin 32

x = 35.9

11. Apply SOH:

sin x = 15/23

x = sin^-1(15/23)

x = 40.7°

12. Apply TOA:

tan x = 37/8

x = tan^-1(37/8)

x = 77.8°

Learn more about Trigonometry ratios on:

https://brainly.com/question/10417664

Kevin works for a car dealership as a sales support person. He is paid $300 a week plus $5 for every car the dealership sells that week as an incentive to help with sales.

Write an explicit definition that defines Kevin's paycheck.

Let n = the number of cars

A
an=300+5n

B
an=300⋅5n

C
an=300n+5

D
an=300−5n

Answers

I say that the answer is A. Because 300 is what you get every month and the 5 depends on the car and how many cars are sold. So 5 is by the “n”. Also you add them all together to get your answer. Which is “An = 300 + 5n. Hope this helped. :)

Solve 81(88w+82)=-207198


Group of answer choices

w=-30

w=-29

w=-28

w=-31

Answers

Answer:

w=-30

Step-by-step explanation:

81(88w+82)=-207198

7128w+6642=-207198

7128w=-213840

w=-30

Helppppppppppppppppppppppppp

Answers

Answer:

Option A

Step-by-step explanation:

We know that for an eqn. [tex]ax^{2} +bx+c=0[/tex] , the quadratic formula is =

[tex]x = \frac{-b+\sqrt{b^{2}-4ac } }{2a} or \frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex]

So using quadratic eqn. for [tex]x^{2} -6x-5=0[/tex]

[tex]x =\frac{-(-6)+\sqrt{(-6)^{2}-4*1*(-5) } }{2*1}or\frac{-(-6)-\sqrt{(-6)^{2}-4*1*(-5) } }{2*1}[/tex]

[tex]=> x = \frac{6+\sqrt{36+20} }{2} or\frac{6-\sqrt{36+20} }{2}[/tex]

[tex]=>x = \frac{6+\sqrt{56} }{2} or\frac{6-\sqrt{56} }{2}[/tex]

What is the percent of decrease from 600,000 to 60,000? Write your answer using a percent sign (%).​

Answers

Answer:

90%

Step-by-step explanation:

change percent to decimal = .90

600,000 x .90 = 540,000

600,000 - 540,000 = 60,000

90% decrease is how you go from 600,000 to 60,000

Which is equivalent?

Answers

Answer:A

Step-by-step explanation:

-2|5x+3|>=4 i dont have the bigger equal simbols , please help me with this question ;((

Answers

Step-by-step explanation:

-2|5x + 3| >= 4

|5x + 3| <= -2

Since absolute value is never negative, there are no real values for x.

The area of a rectangular park is 3/5 square mile. The length of the park is 7/8 mile. What is the width of the park?​

Answers

Answer:

Width of the park = 24 / 35 mile

Step-by-step explanation:

Given:

Length of the park = 7/8 mile

Area of rectangular park = 3/5 square mile

Find:

Width of the park

Computation:

Area of rectangular park = Length of the park x Width of the park

3/5 = 7/8 x Width of the park

Width of the park = 24 / 35 mile

What is the cost of a 4 mile taxi ride if the charges Is $2.50 to start plus $2.80 per mile

Answers

Answer:

$13.70

Step-by-step explanation:

y=2.80x+2.50

=2.8*4+2.5

=13.7

Answer: $13.70

Step-by-step explanation: The first thing you would do is mulitply 2.80 time four. Then you would add 2.50 to the product to get 13.7.

Please help, I forgot how to solve a question like this.

Answers

Answer:

i forgot to but i think you solve it by adding the values

Step-by-step explanation:

NEED HELP to pass upcoming project , I've attached the link, when trying to do this project the first time I got partical credit so one of the parts might be right.

Answers

9514 1404 393

Answer:

  vertex: (-3, 3)

  focus: (-3, 2)

  directrix: y = 4 (the line)

  point on the parabola: (1, -1)

Step-by-step explanation:

The vertex is the extreme point of the parabola. For a parabola opening downward, it is the maximum. Here, that point is labeled (-3, 3).

The focus is a point inside the parabola on the line of symmetry that, together with the directrix, helps define the parabola. Every point on the parabola is the same distance from the focus as it is from the directrix. Here, the point (-3, 2) is the focus.

The directrix is a line outside the parabola that is the same distance from the vertex that the focus is inside. Here, that line is y = 4.

The point on the parabola (1, -1) appears to have no particular significance. It happens to be 5 units distance from both the focus and the directrix.

_____

Additional comment

When you draw a horizontal line through the focus, it intersects the parabola at a point the same distance from the focus as from the directrix. (All points on the parabola have that characteristic. This point just happens to have the same y-coordinate as the focus.) The point you found this way is also on a line through the vertex that has a slope of 1/2 or -1/2.

If you don't know where the focus is for a given parabola, you can always find it using this relationship.

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