You place a 1-dollar bet on the number 17 at Las Vegas, and your friend places a 1-dollar bet on black (see Exercises 1.1.6 and 1.1.7). Let X be your winnings and Y be her winnings. Compare E(X), E(Y ), and V(X), V(Y). What do these computations tell you about the nature of your winnings if you and your friend make a sequence of bets, with you betting each time on a number and your friend betting on a color

Answers

Answer 1

Answer:

E(x)  = -$0.05263

E(y) = -$0.05263

V(x) = 0.9972

V(y) = 32.23

the expectations are the same, both will lose the same amount of money if they play for 38 times.

Though Variance is different. The girl betting on colors has little chance to gain  and lose but the boy betting on number has huge deviation

Step-by-step explanation:

Given that; you place a 1-dollar bet on the number 17 at Las Vegas and your friend places a 1-dollar bet on black.

Let x represent your winnings and y represent your friends winnings

we know that, There are 18 black slots, 18 red slots and two green slots (0 and 00) on a US roulette wheel.

so, the chances of getting black(red) = 18/38

now, E(y) = (18/38)$1 + (20/38)(-$1)

E(y) = -$0.05263

Now, bets made on the chart of the various numbers 1 to 36 and zero, Just put a chip down in the middle of the square with the number you select. If it comes up, it pays 35-to-1. It is called a straight up bet.

hence, the chance of getting selected number will be 1/38

so E(x) will be;

E(x) = (1/38)$35 + (37/38)(-$1)

E(x)  = -$0.05263

So, V(x) will be;

V(x) = [ 1 - (1/19)² ]

= 1 - 0.00277

V(x) = 0.9972

V(y) = { [ (35)² × (1/38) ] - (1/19)² }

= 32.2368 - 0.00277

V(y) = 32.23

Therefore, the expectations are the same, both will lose the same amount of money if they play for 38 times.

Though Variance is different. The girl betting on colors has little chance to gain  and lose but the boy betting on number has huge deviation.


Related Questions

PLEASE ANSWER THIS QUESTION RIGHT.The height of Ryan's rocket is represented by the table of values h(t) below, where t represents time in seconds.

Part A:What is the maximum height of the rocket reached?
A.146 feet
B.128 feet
C.100 feet
D.68 feet

Part B: how long did it take for the rocket to reach the ground?
A.1.5 seconds
B.2 seconds
C.4.5 seconds
D.1 second

Answers

Part a : B
Part b: A
I think

Need this turned in by tonight. Solving for x. My brain is fried, I have been doing math for the last 4 hour.Help!!!!!

Answers

Answer:

18. x = 24.519. x = 421. x = 10

Step-by-step explanation:

Corresponding sides have same ratio

Q18

7/6 = x / (27- 6)6x = 7*21x = 147/6x = 24.5

Q19

(x + 5)/15 = (5x + 1)/35(x + 5)/3 = (5x + 1)/77(x + 5) = 3(5x + 1)7x + 35 = 15x + 315x - 7x = 35 - 38x = 32x = 4

Q21

(x + 6)/24 = (2x - 2)/27(x + 6)/8 = (2x - 2)/98(2x - 2) = 9(x + 6)16x - 16 = 9x + 5416x - 9x = 54 + 167x = 70x = 10

A test is worth 60 points. Multiple-choice questions are worth 2 points, and
short-answer questions are worth 5 points. If the test has 15 questions, how
many multiple-choice questions are there?
O A. The number of multiple-choice questions minus the number of
short-answer questions is 60.
OB. The number of multiple-choice questions times the number of
short-answer questions is 15.
C. The number of multiple-choice questions plus the number of
short-answer questions is 15.
D. The number of multiple-choice questions plus the number of
short-answer questions is 60

Answers

Answer:

C. The number of multiple-choice questions plus the number of

short-answer questions is 15.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of multiple-choice questions

y is the number of short-answer questions.

Multiple-choice questions are worth 2 points, and short-answer questions are worth 5 points.

This means that:

[tex]2x + 5y = 60[/tex]

The test has 15 questions.

This means that:

[tex]x + y = 15[/tex].

Which means that option C is the correct answer.

Answer:

C. The number of multiple-choice questions plus the number of short-answer questions is 15.

Step-by-step explanation:

x + y = 15

Here is a rectangle with some right triangles inside it. Which triangles are similar to triangle AED?

Answers

The triangle that is similar to this triangle from the given rectangle is triangle FED

Similar shapes

Similar shapes are shaped with similar sides and angles. From the given diagram, we are to determine with the triangle is similar to the triangle AED.

This means we need to determine which of the triangles has similar sides as triangle AED

The triangle that is similar to this triangle from the given rectangle is triangle FED

Learn more on similar shapes here; https://brainly.com/question/2644832

What is the approximate area of the circle shown below?
A. 11.0 cm2
B. 220 cm2
C. 154 cm2
D.38.5 cm2

Answers

I think C is the answer
the answer to the question is c


A line that includes the points (-9,-5) and (-10, j) has a slope of -10. What is the value of J

Answers

Answer:

j = -15

Step-by-step explanation:

Given that,

A line that includes the points (-9,-5) and (-10, j) has a slope of -10.

The slope of a line for which two points are given is :

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\-10=\dfrac{j-(-5)}{-10-(-9)}\\\\10=\dfrac{j+5}{-10+9}\\\\10=\dfrac{j+5}{-1}\\\\-10=j+5\\\\j=-10-5\\\\j=-15[/tex]

So, the value of j is equal to -15.

You complete two events of a triathlon. Your goal is to finish with an overall time of less than 100 minutes. a. Select an inequality that represents how many minutes x you can take to finish the running event and still meet your goal. Then solve the inequality. swimming-18.2 biking-45.5

Answers

Umm I honestly don’t know but I can try and help you


It is a collection or set of units or
entities from whom we got the data.
universe
variable
population
sample​

Answers

Answer:

Population.

Step-by-step explanation:

Population can be defined as a collection or set of units or entities from whom we got the data.

This ultimately implies that, a population is the larger set from which other units can be picked from.

Hence, a population is an entire collection of outcomes or objects from which we can obtain or collect data. For example, the number of new born babies in a hospital, a country and the total number of football players in a soccer league.

Population = Movies.

Subset (sample) = comedy movies, horror movies, romance movies, and action movies.

100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Emma went to a salon to get her hair cut. The price of the haircut is $65. She wants to leave a 20% tip. What is the total amount she should pay?
Answer the question or don't type at all.

Answers

Answer:

$78 i think

Step-by-step explanation:

20%=20/100

20/100x65=13

13+65=78

$78

Is either x = 6 or x = 8 a solution to 12 + x = 20? O A. Neither is.a solution. B. X = 6 is a solution, but x = 8 is not. C. X= 8 is a solution, but x = 6 is not D. They are both solutions. SUBMIT​

Answers

Answer:

C. x = 8 is a solution, but x = 6 is not

Step-by-step explanation:

12 + 6 = 18

12 + 8 = 20

20 - 12 = 8

Jessica cuts a ribbon with a length of 12 inches into three pieces such that the length of
one piece is 3 1/2 inches and the lengths of the other two are the same. What is the length of each of the other two pieces?

A. 2 1/2 inches

B. 4 1/4 inches

C. 7 3/4 inches

D. 8 1/2 inches

Answers

Answer:

B 4 1/4

Step-by-step explanation:

Answer:

Its B. 4 1/4

Step-by-step explanation:

How it helps!

What is the value of 16 • 2-2?

Answers

Answer:

= 30

Step-by-step explanation:

On a hot day, a football team drank an entire 50-gallon cooler of water and half as much again. How much water did they drink?


Jada has 12 library books checked out and Han has one third less than that. How many books does Han have checked out?

Answers

Hi there :)

So since they initially drank 50 gallons, half of that is 25 gallons. 50+25= 75, therefore they drank 75 gallons.

Jada has 12 library books and 1/3 of that is 4, because 12 divided by 3 is 4, so 12-4=8. That means Han checked out only 8 books.

Good luck with the rest of your assignment, have a good day/night!!

10x-3Y=-150

how do you solve and graph?

Answers

add 3y to both sides

10x = -150 +3y

subtract -150 from both both sides

10x + 150 = 3y

then divide both sides by 3 (and going to switch the two sides cuz i prefer it that way)

y = (10/3)x + 50

so for graphing you take the y intercept

which is 50 and put a point there

slope (10/3) is rise/over run

so going down and to the left from your y intercept (cuz the slope is positive) count 10 then go over 3

put a point

do it again

then for the other way go up 10 and over 3

that’s graphing

i’ll graph it too but it’ll be sloppy so i figured i’d explain it too

What’s the answer pls

Answers

Answer:

25%

Step-by-step explanation:

In the figure below, angle X is 35 degrees. What is the measure of angle Z?

Answers

Answer:

Z = 45 degrees

Step-by-step explanation:

the angle is still an acute angle but it is not a right angle so it must be 45 according to my calculations. plz mark brainliest

Nathan's family took a road trip to Mount Rushmore. Nathan fell asleep 9% of the
way through the trip. If Nathan fell asleep after they had travelled 54 miles, what was
the total length of the trip?

Answers

Answer:

600

Step-by-step explanation:

Please help quick!
Subtracting a number is the same as adding its opposite.
Use this understanding to complete each of the equations below.

Enter numbers to evaluate −5−(−7).

‐5 –(‐7)= ‐5 + _______

= ________

Enter numbers to evaluate −5−7.

‐5− 7 = ‐5 + _______

= ________

Answers

Answer:

-5+7

=2

-5+-7

=-12

Step-by-step explanation:

It is the same thing with adding its opposite(aka change its sign so addition is being imply)

I can't simplify

5-2(-4x+10)-5x​

Answers

Answer:

5-2(-4x+10)-5x----open brackets and multiply

5+8x-20-5x----combine like terms

8x-5x+5-20

3x-15

3(x-5)

Answer:

Simplified : 3x - 15

Step-by-step explanation:

5 - 2(-4x + 10) - 5x

5 + 8x - 20 - 5x

5 + 3x - 20

3x - 15

What is the value of the expression (2)^6?
pls help ​

Answers

Answer:

64

Step-by-step explanation:

2^6, or 2⁶, is two to the power of six.

Basically you multiply the bottom number (in this case 2) by itself as many times as the the number in the top right (in this case six)

2^6=2*2*2*2*2*2=64

Answer: 64

Step-by-step explanation:

2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 = 64

2 ⋅ 2 ⋅ 2 = 8

2 ⋅ 2 ⋅ 2 = 8

8 x 8 = 64

Hannah spends $4.50 each day to buy lunch at her school. After school each day, she buys the same snack. Hannah spends $28.75 for lunch and snacks each week (5 school days). What is the cost of each snack? Write and solve an equation to model the situation. SHOW EVERY STEP.

Answers

Answer: 1.25

Step-by-step explanation: 28.75 ÷ (5 school days) so for one day the cost is $5.75 then subtract $4.50 and you get 1.25

i have a feeling this is it

PLEASE ANSWER THIS QUESTION RIGHT.A ball thrown in the air has a height of h (t)
- 16t2 + 50t + 3 feet after t seconds.
Part A: What is the average rate of change for h(t) between t= 0 and t = 2?

A.36 Seconds per second
seconds per second
B.-36 feet per second
C.-18 seconds per second
D.18 feet per second

Answers

I think it’s B hope it’s right

Compute 292,000 divide 100

Answers

Answer:

Step-by-step explanation:

is pretty simple

292,000/100=2,920

BONJOUR asker

Answer:

2920

Step-by-step explanation:

292000 divided by 100 is 2920

#CarryOnLearning

heyoitzmeh from Philippines

you can foIlow me in my brainly in Philippines

(-4 + 3i)(-12 + 6i)
Simplify expression

Answers

Answer:

=30−60i

Step-by-step explanation:

30-60i is the answer I put it through Photomath it’s right

If a * b = a/b - 1, then 7 * 28 =​

Answers

It will be 7/28-1


Brainly. Jvunvfunvufnvjrcufv

over a period of 3 hours, the outside temperature changed an average of -2.25 fahrenheit per hour. select the correct sentence that represents this situation.

the temperature decreased by 2.25 degrees fahrenheit from the beginning to the end of the 3-hour period.

the temperature increased by 0.75 degrees fahrenheit from the beginning to the end of the 3-hour period.

the temperature increased by 6.75 degrees fahrenheit from the beginning to the end of the 3-hour period.

the temperature decreased by 6.75 degrees fahrenheit from the beginning to the end of the 3-hour period.

Answers

Answer:

D

Step-by-step explanation:

-2.25 x 3 = 6.75

the temperature decreased by 6.75 after 3 hours

Answer:

The temperature decreased by 6.75 degrees Fahrenheit.

Step-by-step explanation:

This is answer choice D because the Start of Temperature is:

70F

Start Time: 9AM

(70,9) --> (67.75,10) --> (67.50,11) --> (67.25, 12)

What’s the decimal as a persent

Answers

Answer:

37/50

Step-by-step explanation:

74/100

37/50

Answer:

37/50

Step-by-step explanation:

37 ÷ 50 = 0.74

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Find the area of the following shape:

Answers

Answer:

52 m²

Step-by-step explanation:

A(trap) = 1/2h · (sum of bases)

A = 1/2(8)·(3 + 10)

A = 4(13)

A = 52

What is the slope of a line with the cords (-3,2) (-1,-1)

Answers

Answer:

X2 = 1.0792

Y2 = 2.0594

ΔX = 4.0792

ΔY = 3.0594

θ = 36.869897645844°

Equation of the line:

y = 0.75x + 1.25

When x=0, y = 1.25

When y=0, x = -1.6666666666667

OR

X2 = -7.0792

Y2 = -4.0594

ΔX = -4.0792

ΔY = -3.0594

θ = 216.86989764584°

Equation of the line:

y = 0.75x + 1.25

When x=0, y = 1.25

When y=0, x = -1.6666666666667

Marcin buys 7 rulers and 15 crayons for £7.
A ruler costs 12p more than a crayon.

Find the cost of one crayon.

Answers

Answer: 28 p



Explanation:

To solve this problem we're going to use an equation. First let's write down the information that we do know.Let's use (r) for ruler and (c) for crayon.
So 7 rulers and 15 crayons cost £7 (or 700 pennies) --> 7r + 15c = 700But we also know that r = c +12
So we can substitute c + 12 into the first equation where r is at the moment.
7(c+12) + 15c = 700
Now let's expand the brackets. We multiply 7 by c to get 7c and 7x12 t0 get 84
7c + 84 +15c = 70022c + 84 = 700 Here I'm going to take 84 away from both sides. 22c = 616
Remember this is a non calculator paper so we need to find an easy way of dividing 616 by 22.
616 divided by 22 is 28 so c = 28Each crayon therefore costs 28p

Answer: 28 p is the cost of one crayon.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Marcin buys 7 rulers and 15 crayons for £7.

A ruler costs 12p more than a crayon.

now,

To solve this problem we're going to use an equation.

First let's write down the information that we do know.

Let's use (r) for ruler and (c) for crayon.

So 7 rulers and 15 crayons cost £7 (or 700 pennies)

--> 7r + 15c = 700

But we also know that r = c +12

So we can substitute c + 12 into the first equation where r is at the moment.

7(c+12) + 15c = 700

Now let's expand the brackets.

We multiply 7 by c to get 7c

and 7x12 t0 get 84

7c + 84 +15c = 700

22c + 84 = 700

Here I'm going to take 84 away from both sides.

22c = 616

616 divided by 22 is 28

so c = 28

hence, Each crayon therefore costs 28p.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ2

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