The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. (a) What is the probability that you wait longer than one hour for a taxi? (b) Suppose that you have already been waiting for one hour for a taxi. What is the probability that one arrives within next 10 minutes? (c) Determine xx such that the probability that you wait more than xx minutes is 0.10. (d) Determine xx such that the probability that you wait less than xx minutes is 0.90. (e) Determine xx such that the probability that you wait less than xx minutes is 0.50

Answers

Answer 1

Answer: a)0.025 b)0.63 c)23 d)1.053 e)6.93

Step-by-step explanation:

E(x)= 10

It is a continuous random variable, so calculating for ✓, we have

10=E(x)1/✓

✓=1/10=0.1

1)P(x>60)=1-F(60)=e^0.1x60=0.0025

2) Employing lack of memory property, we have, P(X<70|X>60)=P(X<10)= F(10)=1-e^-0.1x10= 0.63

3) for 0.1, x= -1/0.1 ln0.1= 23

4) for 0.9, x= -1/0.1 ln 0.9= 1.053

5) for 0.5, x -1/0.1 ln 0.5= 6.3


Related Questions


9x+ 27 = 9(x+ 2) + 9

Answers

Answer Infinitely many

Step-by-step explanation:

Please can someone please tell me how to do thisss

Answers

Answer:

Rotate it 90°

Step-by-step explanation:

First graph D(-3, -10)

And a rotation of 90° clockwise is when you move the shape to the left 90°.

And that’s it

Answer:

I have a set of rules that should help you:

When rotating a point or shape 90 degrees counterclockwise switch the x and y values of that point and then change the sign (negative or positive) of the new x value. When rotating 90 degrees clockwise switch the x and y values of that point and then change the sign of the new y value. Finally when rotating 180 degrees just change the sign of both points to get your new value. Keep in mind that these rules only work when rotating around the origin which is (0,0)

IN this case, your point is -3, -10 and since we rotate it 90 degrees clockwise we just switch the x and y so it is now -10, -3 and then change the sign of the y which makes your final answer  -10, 3

-Hope this helps

Step-by-step explanation:

The width of a rectangle is 12 cm less than the length the perimeter is 156 cm. Which equations represents how to find the length and the width?​

Answers

Answer:

x+x+x+12+x+12=156

width is 33

length is 45

Step-by-step explanation:

for for the width we will substitute it for x, and for the length we will substitute for x + 12 since the width is 12 cm less than the length. and, we know that to find the perimeter, you just have to add the widths and lengths. and since the perimeter is given the equation is:

x+x+x+12+x+12=156

width is 33

length is 45

the graph represents a function with the form f(x)=asin(bx+c) which values of a,b, and c are possible

Answers

Answer:B

Step-by-step explanation: edge 2020

plz help asap im being timed and i only have 20 minutes left

Answers

Answer:

first question is B

second F

third C

fourth pretty sure its C

last C

Step-by-step explanation:

What is 10 to the 5th power times 456

Answers

Answer:

45,600,000

Step-by-step explanation:

10 to the 5th power is 100,000 times 456 which is 45,600,000

Correct me if I am wrong

Hope this helps!

A box of cereal states that there are 81 cal in a 3/4 cup serving what is the unit rate for calories per cup how many calories are there in 3 cups of cereal

Answers

Answer:

324 calories

Step-by-step explanation:

A box of cereal states that there are 81 cal in a 3/4 cup serving what is the unit rate for calories per cup how many calories are there in 3 cups of cereal

The unit rate for calories per cup = calories per cup

3/4 cup serving = 81 calories

3 cups of cereal = x calories

We Cross Multiply

3/4 × x = 81 × 3

x = (81 × 3) ÷ 3/4

x = 243 × 4/3

x = 324 calories per cup

There are 324 calories in 3 cups of cereal

The temperature in Montreal was -8° C. In New York the temperature was 11° C. How many degrees warmer was the temperature in New York?

Answers

Answer:

19

Step-by-step explanation:

Evaluate the expression when a= 1/4 and b=6

Answers

Answer:

b=24

Step-by-step explanation:

Derek has a bird that weighs 4 pounds. Use the double line diagram below to help you determine approximately how many kilograms this bird weighs. (2 points)

2 lines. The first line is labeled Pounds and has 6 marks, equally spaced apart, and every other mark labeled 3, 5, 7, respectively. The second line is labeled Kilograms and has 6 marks, equally spaced apart, and every other mark labeled, 1, 2, 3, respectively.

Group of answer choices

1.5 kilograms

2 kilograms

5 kilograms

7 kilograms

Answers

Answer:

2 killograms

Step-by-step explanation:

hope this helps :)

Answer:

2 2 2 it is 2

Step-by-step explanation:

what is the solution of the equation 2/5x - 4 = 26

Answers

Answer:

x=75

Step-by-step explanation:

2/5x=26+4

2/5x=30

2x=30*5

2x=150

x=150/2

x=75

Answer: x=75

Step-by-step explanation:

Find the product of each pair of complex conjugates.

(3 + 8i)(3 – 8i)

Answers

Answer:

73

Step-by-step explanation:

PLZ HELP! I WILL MARK YOU BRAINLIEST!

Answers

Answer:

6

Step-by-step explanation:

[tex]\sqrt[3]{216}[/tex] = 6

a) Sheetal has eight Rs 5. coins. After purchasing 1 kg of tomatoes, only one coin left with her. What is the price
of 1 kg of tomatoes? b)The shopkeeper has 46 kg 750 g of tomatoes in his stock. He sells 28 kg 850 g of
tomatoes. What is the weight of tomatoes that are left?​

Answers

Step-by-step explanation:

please check the attached picture..and rotate it

Which of these terms does not describe polygon A’B’C’D?

A. Rotation

B. Transformation

C. Reflection

D. Image

Answers

The terms that does not describe polygon A’B’C’D should be considered as the option c. reflection.

What is reflection?

In terms of geometry, a reflection should be known as the flip, It should be considered as the mirror image of the shape. The image should reflect via the line that we called as the reflection line.

When it should be at reflection so each and every point in the figure should be equidistant with respect to the another figure.

hence, The terms that does not describe polygon A’B’C’D should be considered as the option c. reflection.

Learn more about polygon here: https://brainly.com/question/24452286

What is the quotient of 2 3/4 and 7/8?

Answers

Answer:

Step-by-step explanation:

2 3/4 /7/8

11/4*8/7

88/28

If you convert 3/4 to a decimal you get .75 and then if you add the whole number you have, you get 2.75 and when you divide 78 by 2.75 you get 28.363636...

i will mark as brainliest
Jason has applied to be a camp counselor for the summer. The job pays $9 per hour. The equation to represent Jason’s job is y = 9x, where x is the number of hours he works and y is the total amount he earns.

Mia has applied to be a lifeguard for the summer. The lifeguard job is three days a week with hours and pay as shown in the table below.


Tuesday
Thursday
Saturday
Hours worked
6
8
5
Amount paid
$52.50
$70.00
$43.75

Which statement best describes the hourly rates?
The two jobs pay the same hourly rate.
The comparison cannot be made with the information given.
Jason’s camp counselor job pays a higher hourly rate than Mia’s lifeguard job.
Jason’s camp counselor job pays a lower hourly rate than Mia’s lifeguard job.

Answers

Answer:

Jason's job pays a higher hourly rate than Mia's lifeguard job.

Step-by-step explanation:

It tells that Jason gets paid $9/hour

now divide each amount Mia makes by the number of hours each day and you get the same amount of $8.75/hour.

Select the line segment​

Answers

Answer:

It should be A

Step-by-step explanation:

If you need an explanation lmk

Find the missing side

Answers

Answer:

x= 40

Step-by-step explanation:

the way to figure out a cale factor is to divide a new side by an old side, in this case you could divide 24 by 15 to get 1.6

multiply the side congruent to x by 1.6, so 25 and 1.6

you should get 40

Which statement about the ordered pairs (3, -8) and (4, 4) is true for the equation 3x - y/4 = 11?

A. Neither ordered pair is a solution.

B. Both ordered pairs are solutions.

C. (4, 4) is a solution to the equation but not (3, -8).

D. (3, -8) is a solution to the equation but not (4, 4). ​

Answers

Answer:

Neither ordered pair is a solution.

Step-by-step explanation:

If we substitute an ordered pair which is the correct solution, we will obtain the value at the right hand side of the equation.

Now let us try it;

Substitute (3,-8)

3(3)-(-8)/4 = 9 +8/4 =17/4

Again;

3(4) - 4/4 = 8/4 =2

Hence, none of the ordered pairs is a solution.

An artist is making a scale model of A statue on the model 2 inches represents 1 foot on the actual statue which graph best represents this relationship

Answers

Answer:

0.166667

Step-by-step explanation:

What is 100% written as a decimal?

Answers

Answer:

100 percent written as a decimal would just be 1

Step-by-step explanation:

For example, 50% is 0.50 in decimal form that would make 100% well, 1.0

Hope this helps and have a great day!

You got this :)


Solve the inequality 3(k-9) > 3k + 6.

Answers

Answer:

No solution

Step-by-step explanation:

Solving inequalities is similar to solving equations. First let's distribute the 3 with (k-9)

[tex]3(k - 9) > 3k + 6[/tex]

[tex]3k - 27 > 3k + 6[/tex]

(Subtract 3k from both sides)

[tex] - 27 > 6[/tex]

[tex] - 33 > 0[/tex]

(Subtract 6 from both sides. You can also add 27 to both sides. You will get the same answer.)

This inequality is invalid. There are no values of k that make the inequality true.

Answer:

No solution

Step-by-step explanation:

The table shows the balance (in dollars) of a bank account each month for three months. What is the average balance of the account?

Answers

Answer:

$1,126.37

Step-by-step Explanation:

Given:

Account balance for:

Month 1 = $1285.12

Month 2 = $961.36

Month 3 = $1132.63

Required:

Average balance of account

SOLUTION:

Average balance of account = sum of account balance for the 3 months ÷ 3

Average balance of account = [tex] \frac{1285.12 + 961.36 + 1132.63}{3} [/tex]

Average balance of account = [tex] \frac{3,379.11}{3} [/tex]

Average balance of account = [tex] 1,126.37 [/tex]

Answer:

$1,126.37

Step-by-step Explanation:

Given:

Account balance for:

Month 1 = $1285.12

Month 2 = $961.36

Month 3 = $1132.63

Required:

Average balance of account

SOLUTION:

Average balance of account = sum of account balance for the 3 months ÷ 3

Average balance of account =  

Average balance of account =  

Average balance of account =

Factor: 3(5x+2)(5x-2)

Answers

Hope that helps .....

What is the scale factor

Answers

Answer:

1/3

Step-by-step explanation:

33/11=3

so its 1/3 of it

Answer:

1/3

Step-by-step explanation:

If you divide one of the sides in figure A by 3, then you will get the corresponding side for figure B.

So if I divide the uppermost side, which is 33units by 3, I will get the uppermost side in figure B, which is 11units.

Since dividing b 3 is like multiplying by 1/3 then the scale factor is 1/3

Can someone help please :)
The least common multiple of 54 c^2 de^3 and 38 c^4 is _____.


A. 1,026 c^4
B. 342 c^4 de^3
C. 342 c^2
D. 1,026 c^4 de^3

Answers


The correct answer is 1,026 c^4 de^3.

Explanation: 1,026 is the lowest number both 38 and 54 go into. c^4 is the lowest that both go into. de^3 is also the lowest they all go into since de^3 is only in the first equation.

Answer:

The correct answer is 1,026 c^4 de^3.

Step-by-step explanation:

Can someone help me?

Answers

9514 1404 393

Answer:

  54w^7/v^17

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  a^-b = 1/a^b

  a^0 = 1 . . . . for any a ≠ 0

__

  [tex]3y^5y^{-5}v^{-9}\cdot6wv^{-8}\cdot3w^6=(3\cdot6\cdot3)v^{-9-8}w^{1+6}y^{5-5}\\\\=54v^{-17}w^7y^0=\boxed{\dfrac{54w^7}{v^{17}}}[/tex]

Please help ME!!! I need help

Answers

the LCM is 18. 18 and 36 are both common multiples for 6 and 9 but the least common multiple is the smallest which is 18

The solutions to the equation 2x2+x-1=2 are x=-3/2 or x=_

Answers

Answer:

the solutions are {1, -3/2}

Step-by-step explanation:

The given equation 2x^2 + x - 1 = 2 simplifies to 2x^2 + x - 3 = 0 if we subtract 2 from both sides.

We are told that -3/2 is a solution and must find the other solution   To do this, use synthetic division; if the remainder is zero, that tells us that -3/2 is actually a solution, and we can obtain the second solution easily, as follows:

-3/2     /     2       1        -3

                         -3        3

           -------------------------

                 2      -2        0

Since the remainder is 0, we have verified that -3/2 is a solution.  The coefficients of the other factor of the original equation are 2 and -2, and so this other factor is 2x - 2, or 2(x - 1).  Setting this result equal to zero yields x = 1.  

Thus the solutions are {1, -3/2}.

   

Answer:

1

Step-by-step explanation:

Took the Test edge 2021

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