Suppose you are taking the bus home, and can take either Route 51 or Route 82. You know that the Route 82 will arrive at the bus stop in exactly 5 minutes, but because Route 51 is unreliable, you believe that the amount of time until it arrives is uniformly distributed between 0 and 20 minutes. You take the first bus that arrives. Let T be the number of minutes you wait until you board a bus. Find E[T].

Answers

Answer 1

Answer:

E[T] = 10

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distribution has two bounds, a and b, and the expected value of the uniform distribution is given by:

[tex]E = \frac{a+b}{2}[/tex]

Uniformly distributed between 0 and 20 minutes.

This means that [tex]a = 0, b = 20[/tex]

Let T be the number of minutes you wait until you board a bus. Find E[T].

This is

[tex]E[T] = \frac{a + b}{2} = \frac{0 + 20}{2} = 10[/tex]

E[T] = 10


Related Questions


13. Use a ruler to measure the dimensions of
the parallelogram below to the nearest 0.5 cm.
Then, determine which of the following
solutions is closest to the area of the
parallelogram.
A. 18 cm2
B. 15 cm2
C. 12.5 cm2
D. 9 cm2

Answers

Answer:

26

Step-by-step explanation:

2 x 13 = 26

Noah has $5.
1.
a.
Elena has 40% as much as Noah. How much does Elena have?
b.
Compare Elena's and Noah's money using fractions. Draw a diagram to
illustrate.

Answers

Answer:

a. $4

b. Noah has 5/5. Elena has 4/5.

Step-by-step explanation:

Noah has $5.

a.

Elena has 80% of Noah's money.

80% of $5 = 0.80 * $5 = $4

b.

Noah has $5. We can consider $5 to be the full amount.

A full amount is 100% or 1 or 5/5.

Elena has 80% of Noah's money, so she has 80/100 of Noah's money.

80/100 reduces to 4/5.

Noah has 5/5, and Elena has 4/5.

The money that Elena has is $2.

What is percentage?

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100.

The given problem can be solved as follows,

(a) The amount of money Elena has is 40% of that of Noah.

It can be written as follows,

40% × 5

= 40/100 × 5

= 2

(b) Since the Elena has 40% of the Noah's money,

In the form of fraction it can be written as follows,

40% = 40/100

        = 2/5

This can be represented in a diagram as follows,

In the diagram shown the circle has in total 5 sectors of which 2 yellow sectors represent Elena's money.

Hence, the amount of money Elena has is $2 which is shown in the diagram.

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Expand the following expression: 3(2l+w)
Select one:

6l+w

6l+3w

6lw

9l+w

Answers

3(2l+w)
=6l + 3w
here u go

If 7% of a number equals 9, find 70% of that number.

Answers

Answer:

90

Step-by-step explanation:

bro 70 is ten times 7 so just multiply 9x10

23n=2.4
A. 3.6

B. 7.2

C. 1.2

D. 1.6

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{23n =2.4}[/tex]

[tex]\large\text{DIVIDE 23 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{23n}{23}=\dfrac{2.4}{23}}[/tex]

[tex]\large\text{Cancel out: }\mathsf{\dfrac{23}{23}}\large\text{ because it gives you 1}[/tex]

[tex]\large\text{Keep: }\mathsf{\dfrac{2.4}{23}}\large\text{ because it helps us solve for n}[/tex]

[tex]\mathsf{n = \dfrac{2.4}{23}}[/tex]

[tex]\mathsd{\dfrac{2.4}{23}= 2.4\div 23\rightarrow \bf 0.104348}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge n = \bf 0.104348}}}\huge\checkmark[/tex]

[tex]\boxed{\textsf{NONE OF THE ABOVE is your ANSWER}}[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

How many groups of 1/4 are in 3. Draw a tape diagram

Answers

Answer:

12 groups of 1/4

Step-by-step explanation:

Look up the tape diagram part

The number of groups of 1/4 in 3 are 12 groups

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 total number of groups be = A

Now , the number of groups of 1/4 in 3 is calculated by

Number of groups of 1/4 in 1 is

1/4 x 4 = 1

Therefore , the number of groups of 1/4 in 1 is = 4 groups

So , the equation will be

The number of groups of 1/4 in 3 = 3 x the number of groups of 1/4 in 1

Substituting the values in the equation , we get

The number of groups of 1/4 in 3 = 3 x 4 groups

The number of groups of 1/4 in 3 = 12 groups

Therefore , the value of A is 12 groups

Hence , The number of groups of 1/4 in 3 are 12 groups

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If you add Natalie's age and Fred's age, the result is 44. If you add Fred's age to 4 times
Natalie's age, the result is 83. Write and solve a system of equations to find how old Fred and Natalie
are

Answers

Answer: 31, 13

Step-by-step explanation:

A stadium is shaped like a hemisphere with a radius of 150 feet. Last month, the owners of the stadium paid $0.05 per cubic foot to cover the cost of utilities. What was the total cost for utilities last month?

Answers

Answer:

353,249 feet cubed

Step-by-step explanation:

V=(4/3)[tex]\pi (3.14)rx^{3}[/tex]/2 times 0.05

A CD player is advertised at a price of $1200. It could be bought cash or by hire purchase. The table below shows the terms of payment.

Answers

Cash:1140
Option 1:1344
Option 2:1320

find the missing leg length for a right triangle with hypotenuse 40 ft and leg 21 ft

Answers

Answer:

34feet

Step-by-step explanation:

Using the pythagoras theorem

Hyp^2 = opp^2 + adj^2

Given

Hypotenuse = 40ft

Opp = 21ft

Required

Adjacent

Substitute

40^2 = 21*2 + adj^2

1600 = 441 + adj^2

adj^2 = 1600 - 441

adj^2 = 1159

adj = √1159

adj = 34.ft

Hence the missing length is 34feet

PLEASE ANSWER ASAP FOR BRAINLEST SUPER EASY QUESTION!!!!!!!!!!!!!!!!!!!!
what are 3 mathematical facts you can find in a rectangular prism?

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:According to splashlearn.com they say, "Rectangular prism has 8 vertices, 12 sides and 6 rectangular faces. All the opposite faces of a rectangular prism are equal. A rectangular prism has a rectangular cross section."

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

Rectangular Prism :

A rectangular prism has 8 vertices, 12 sides and 6 rectangular faces.

All the opposite faces of a rectangular prism are equal. 

A rectangular prism has a rectangular cross section.

Rectangular prisms can be of two types, namely right rectangular prism and non-right rectangular prisms

Let X and Y be the following sets:
X = {}
Y = {2,3, 5, 7, 11, 13}
Which of the following is the set X Y?

Answers

Answer: the answer is B

Step-by-step explanation:

Which is a feature of function g if g(x) = -f(x-4)

A) Y-Intercept at (0,-4)
B) X- intercept at (5,0)
C) vertical asymptote of x=-4
D) horizontal asymptote of Y=4

Answers

Answer:

B

Step-by-step explanation:

Plato

The x- intercept of g(x) is at (5,0), the correct option is B.

What is a Function?

A function is a law that relates a dependent and an independent variable.

The function is g(x) = -f(x-4)

The x intercept is when y =0

The function in the graph f is 0 at x =1

g(x) = -f( 5-4) = -f(1) = 0

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How many groups of 5 can you make
with the 25 shapes

Answers

Answer:

5 groups

Step-by-step explanation:


25/5 is 5
So the answer
Would be
5

Which matrix translates the vector 〈4,-3〉 to 〈6,-8〉?

Answers

Answer:

2, -5

Step-by-step explanation:

Find the measure of the exterior angle.

that last answer is 38°

Answers

Answer:

A. 138°

Step-by-step explanation:

hope it helps u...

Round 7.54 please I need help

Answers

Round it to make it a whole number makes it 8 but in decimal form it would stay 7.5

I just need these 4, they should be super easy!! I really need help

Answers

Answer:

1. v = 72

2. b = 8

3. 0 or -2

4. C = -24

Step-by-step explanation:

Hope this helps.. Can I get brainiest

Quotient of a number x and 45?

Answers

quotient of a number x and 45?
is equal to x45

The product of five and a number plus 10 is at least thirty.

Answers

5+10+x is greater than or equal to 30 ( use the greater of equal to sign)

M/6-7=2/3 pls help plssssd

Answers

Step-by-step explanation:

M/6-7=2/3

M/6=2/3+7

M=23/3×6

M=23×2=46

Branliest to correct answer please explain how you solved it

Answers

Answer: it is a.

Step-by-step explanation: because I'm smart.

Answer: 2% or 3%

Most likely 2%.

Step-by-step explanation:

There’s a 20 sided dice and 100÷20=5

but you have to think of it as 26

2% x 26= 0.52 make 0.52 a 52 and take off the 2 from  52 and make it your answer, 2%

thats what I came up with and gathered after some tests on a normal online calculator that doesn‘t do remainders.

Is 0.62831853071 rational?

Answers

Answer:

0.7813....

Step-by-step explanation:

[tex]\frac {\pi} {5} [/tex] is irrational

0.7813.... Is irrational

Yes, 0.62831853071 is a rational number, because it is terminating and can be expressed in the form of p/q.

find-5/6÷(-1/2) write the answer in the lowest terms.​

Answers

Answer:

[tex]\dfrac{-5}{3}[/tex]

Step-by-step explanation:

We need to solve the given expression in the lowest form i.e.

[tex]\dfrac{5}{6}\div (-\dfrac{1}{2})[/tex]

We know that,

[tex]\dfrac{a}{b}\div \dfrac{c}{d}=\dfrac{a}{b}\times \dfrac{d}{c}[/tex]

So,

[tex]\dfrac{5}{6}\div (-\dfrac{1}{2})=\dfrac{5}{6}\times (-2)\\\\=\dfrac{-5}{3}[/tex]

So, the lowest form is equal to [tex]\dfrac{-5}{3}[/tex].

If you will write this in ratio 5 triangles is to 8 rectangles

Answers

Answer:

5 to 8, 5/8, 5:8

Step-by-step explanation:

if you have 5 triangles then TO 8 rectangles it will be (5 to 8, 5/8, or 5:8) those are all 3 ways to write it and it has to be # TO # in the right order it says in the sentence

hope this helped

Sandy knows that she needs $82,000 for a 15% down payment on a house she can afford. She found an investment that earns 3.25% interest
compounding monthly.
How much should she put in the account now, rounded to the nearest dollar, to ensure she has the down payment
amount in 5 years?
$12,034
$38,915
$69,717
$72,374

Answers

The answer is going to be $69,717

three times the difference of twice a number and 4 is 12. find the number​

Answers

Answer:

3 times the difference of a number and 4 equals 12.

Step-by-step explanation:

3(2x - 4) = 12
6x - 12 = 12
6x = 24
x = 4

The number is 4

A bag contains: 5 red marbles, 6 blue marbles, 3 green marbles, 4 black marbles, and 2 yellow marbles. A marble will be drawn from the bag and replaced 100 times. What is a reasonable prediction for the number of times a green or black marble will be drawn?

Answers

Step-by-step explanation:

green = 3/20

black = 4/20 = 1/5

Answer: 35

Step-by-step explanation:

Maeve takes pictures of people as they enter an amusement park. She makes $40 per day, plus $4 for each person who buys a picture. If Maeve made $80 yesterday, how many people bought a picture?

Answers

Answer:

20People

Step-by-step explanation:

Buying of a picture = $4

if the total revenue made after people bought it was $80

Total number of people who bought it

= $80/$4

=20People

(3x + 1) > -7+ 3x
Plz help me

Answers

Answer:

0, -1

Step-by-step explanation:

This question was answered in another place since you asked it twice. Please refer to the other place that you asked the same question.

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