Teri and Lee are playing a game that consists of consists of spinning a spinner with eight equal spaces numbered 1 through 8, and then flipping two coins at the same time.
Terri wins 10 points if the spin is greater than 5 and the coins are different (one head and one tail).
Lee wins 15 points if the spin is an even number and the coins are both tails.
Is the game is fair or unfair? Why?

A.The game is not fair, because Terri’s expected value is 10(4/8)(2/4)=2.5 and Lee’s expected value is 15(4/8)(1/4)=1.875.
B.The game is fair, because Terri’s expected value is 10(3/8)(2/4)=1.875 and Lee’s expected value is 15(4/8)(1/4)=1.875.
C.The game is not fair, because Terri’s expected value is 10(38)(13)=1.25 and Lee’s expected value is 15(4/8)(1/3)=2.5.

Answers

Answer 1

Answer:

B. The game is fair, because Terri’s expected value is 10(3/8)(2/4)=1.875 and Lee’s expected value is 15(4/8)(1/4)=1.875.

Step-by-step explanation:

Probabilities

Teri

10 points for spin > 5 and 2 coins are different3 spins out of 8 and 2 outcomes out of 410*(3/8)*(2/4) = 1.875

Lee

15 points for spin is even number and 2 coins are both tails4 spins out of 8 and two same outcomes15*(4/8)*(1/2*1/2) = 1.875

The game is fair as per the outcome above

Correct option is B.


Related Questions

solve for r. ( geometry )

Answers

Answer:

r i r

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

First, distribute. 12r + 16 = -16r - 40

Then get r on one side by adding 16r to both sides then subtracting 16 from both sides.                  28r = -56

Finally, divide by 28 on both sides to get r by itself.

r = -2

What is the equation of this graph?

A. y = 2x + 7
B. y = -2x + 7
C. y = -2/7x + 7
D. y = -7/2x + 7
E. y = -7/2x+ 2

Answers

Answer:

The equation would be Y= -7/2x + 7

Step-by-step explanation:

With the points given (0,7) and (2,0) we find our slope which is: -7/2. We know that our change in the y values is -7 and the change in our x values is +2. Y IS ALWAYS OVER X SO WE GET -7/2.

To find our y intercept you just look at the graph of where there's a point on the y line. For example (0,7) the 7 would be our y intercept.

So we get Y= -7/2x +7

The slope is ALWAYS put next to the variable x.

Hope this helps! :)

(Side Note: You look at the graph from left to right, so our first point would be (0,7)!)

Answer:

D. y= -7/2x +7

Step-by-step explanation:

From the graph we see that (0,7) is a point in which our line intersects on the y axis meaning that it will be our y intercept. Thus eliminating option E.

Next, we know that this graph is moving towards the left side of the graph meaning that the values will turn negative and thus meaning that the graph is decreasing, so our slope will be negative.

We know that slope is Rise/run. In thsi case, the graph doesn't have an even run of 2x or -2x because it doesn't intersect directly at those points. This eliminates A and B.

We are now left with Options C and D. Said before, 2 is our run in this graph because when observing the graph, we see that the point (2,0) is lowered by 7 and moved to the right 2. Meaning that 7 is our rise in this case and 2 would be our Run. But because it is negative pur slope is -7/2x.

Which eliminates C. Thus leaving option D as our answer

25 times 10 to the power of 6 as an ordinary number

Answers

Answer:

25,000,000

Step-by-step explanation:

25*(10^6) =25000000




Here you are hope it works

6
TEL
X
-
4
2
44
is it a function or not a function

Answers

It’s not a function.

What’s Slope A?

What’s Slope B?

What is the relationship between the two slopes that you calculated?

Answers

Answer: 2

Step-by-step explanation:

count number a blocks it went up (4)

count number of blocks it goes to the right (2)

if it goes to the left or down the answer would have been negative

4/2 = 2

Consider the expression (-15) + 8. Describe a situation that could be represented by the expression. Then, find the sum and explain what it means in the context of the situation.

Answers

Answer:

it not

Step-by-step explanation:

What is the value of the greatest integer. ANSWER THIS ASAP

Answers

Answer:

It should be (67, 68, 69, 70) if im

not mistaken.

Step-by-step explanation:

What is the GCF of 18x^2, 6x​

Answers

Answer:

6x - Goes both into 18x^2 and 6x evenly.

I have a F in this class may someone help me..?

Answers

Answer:

x = -10

Step-by-step explanation:

9 x -10 = -90

So if 9x is equal to -90, that would mean that x is a negative number.

9x=-90

-90/9= -10

Check:

-10 times 9= -90

Re-write in standard form: y=3x-6 * Your answer​

Answers

Answer: 3x-y=6

Step-by-step explanation:

Hope this helps

find the unit rate kenny reads 4 over 9 pages in 3 over 4 minutes

Answers

Answer:

Unit Rate = (4/9)/(3/5) = (4/9)(5/3) = 20/27 pages per minute

Report 01/07/18

Step-by-step explanation:

Jimmy has collected 100 aluminum cans to recycle. He plans to
collect an additional 25 cans each week. Write an equation for the total
number of cans, c, after w weeks. If jimmy collected cans for 5 weeks, how
many cans did he collect?
Equation:
Answer:

Answers

Answer:

Jimmy recicled a total 125 cans in 5 weeks.

Step-by-step explanation:

25✖️5= 125

-Have a nice day!

Simplify: 2x + 9 - 17x - 15 -x​

Answers

Answer:

1

Step-by-step explanation:

2x + 9 - 17x - 15 - x =????

2x - 17x - x + 9 - 15 = 0

- 15x - x - 16 = 0

- 16x - 16 =0

-16x = 16

x = 16 / - 16

x = 1

find the 20th term from the last term of the AP:3,8,13,............,253​

Answers

Answer:

THE ANSWER IS 198

I HOPE THIS MAY HELP YOU

Answer:

3,8,13,198,253

Hope this helps

Over a 14 day period , Jamal went to the store 5 times . Based on this information, which statement best describes how many times will go to the store in a 5 week period

Answers

12 or 13 times because 14 days is 2 weeks for 2x5=10 so that’s 4 weeks add 1 more week so I think 12

make g the subject of the formula w = 7 - √g

Answers

Answer:

[tex](-w + 7)^{2}[/tex] = g

Step-by-step explanation:

w - 7 = -√g

-w + 7 = √g

[tex](-w + 7)^{2}[/tex] = g

What is the inverse of this trigonometric function?

y = sinx
y = cosx
y = arcsinx
y = arccosx

Answers

Answer:

D

Step-by-step explanation:

edge

The inverse of this trigonometric function is y = arccosx. Then the correct answer is option D.

What is a trigonometric function?

The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths.

The given graph is represented by the function y = cosx. The inverse function will be y = arccosx.

Hence, the correct answer is option D.

To know more about trigonometric functions follow

https://brainly.com/question/1143565

#SPJ2

I NEED HELP PLEASE
ITS DUE SOOM

Answers

Answer:

Tyler is correct. The temperature dropped at a rate of about 4° per hour between 4 and 6, while the temperature dropped at about 2.25° per hour between 6 and 10.

Edit: Explanation

The question is asking about which window of time had a faster decline in temperature, not a larger total change in temperature.

In a 2 hour timeframe, the temperature dropped 8°. (4-6 PM)

In a separate 4 hour timeframe, the temperature dropped 9°. (6-10 PM)

To find which window had a faster change in temp, I took the total temperature drop for each timeframe, then divided it by the number of hours each drop took.

8° / 2 = 4° per hour for 4-6 PM

9° / 4 = 2.25° per hour from 6-10 PM

Since the speed at which the temperature dropped per hour was greater from 4-6 PM than 6-10 PM, Tyler was correct.

Answer:

i agree with Mai because she/he (im not really sure) said that the temperature changed quicker in the time between 6 and 10 pm. the temperature change was 9 in those 4 hours.

Step-by-step explanation:

well there's a 4 hour difference between all 3 of the times

4 pm - 6pm

25 - 17 = 8

8 degree difference

6 pm - 10 pm

17 - 8 = 9

9 degree difference

the temperature changed quicker during 6 pm to 10 pm

Community Gym charges a $60 membership fee and a $55 monthly fee. Workout Gym charges a $200 membership fee and a $45 monthly fee. After how many months will the total amount of money paid to both gyms be the same? What will the amount be?​

Answers

Answer:

4 Months, and the Total amount is 280

Step-by-step explanation:

60 + 55m = ?

200 + 45m = ?

60 + 55 = 115 + 55 = 170 + 55 = 225 + 55 = 280

200 + 45 = 245 + 45 = 290 + 45 = 235 + 45 = 280

           1                  2                 3                 4

Given f(x) = 17- x?, what is the average rate of change in f(x) over the interval [1, 5]?
-6
-1/2
1/4
1

Answers

Answer: -6

Step-by-step explanation: I just took the test

Please help

Dion bought tickets for Fun Park so that he and his friends would each have the same number of tickets. There are enough tickets so that each person can
ride the go-carts once, play video games three times, and play laser tag twice.
When Dion purchased the tickets for himself and his eight friends, he realized
that he could purchase ticket books, individual tickets, or a combination of
books and individual tickets. Dion figured out the cheapest way to buy tickets for his
group. What was the cheapest way and what was the total cost?

Answers

Answer:

25

Step-by-step explanation:

Please help me with this math problem

Answers

Answer:

28x

Step-by-step explanation:

i took the test

pic below...............................

Answers

.    。    •   ゚  。   .

  .      .     。   。 .  

.   。      ඞ 。 .    •     •

 ゚   Red was not An Impostor.  。 .

 '    1 Impostor remains     。

 ゚   .   . ,    .  .

can red have brainliest?

One number is 8 more than the other. When the larger is divided by the smaller, the quotient is 7/5

Answers

Answer:

         The numbers are 20 and 28

Step-by-step explanation:

x  - the other number  (the smaller one)

x+8  - 8 more than the other number (the larger number)

 

[tex]\dfrac{x+8}x=\dfrac75\\\\(x+8)\cdot5=x\cdot7\\\\5x+40=7x\\^{\quad-40\qquad-40}\\{}\quad5x = 7x-40\\^{\quad-7x\quad-7x}\\-2x=-40\\^{\div(-2)\quad\div(-2)}\\{}\ \ x=20\\\\x+8=28[/tex]

Rosemary buys 3 pounds of ground turkey for $9.50. How much would she spend for 5 pounds?​

Answers

Answer:

15.83 dollars

Step-by-step explanation:

9.50/3 is 3.16

3.16*5 is 15.83 dollars

She spent 9.50 cents

Which numbers round to 7.91 when rounded to the nearest hundredth? Select all that apply.
A. 7.914
B. 7.905
C. 7.901
D. 7.915
E. 7.909

Answers

Answer:

A. 7.914

B. 7.905

E. 7.909

Answer: A D AND E

Step-by-step explanation:

There the answers i took that test

Show that (3+4)2−(3−4)2−(4)(4)=32

Answers

Answer:

Explanation below

Step-by-step explanation:

(3+4)= 7

7+2 = 9

-(3-4) (Invisible one)

-3+4 add to the 9

10

10+2= 12

12-4=8

8×4 =32

Sorry if this seems a bit confusing, but its quite hard to show the process without paper.

Hope this helps! :)

Eddie compared prices of two auto-rental agencies for the use of a mid-size auto for one week. Right Price Auto charged a flat fee of $386 plus $0.20 per mile driven. EconoCar charged a flat fee of $344 plus $0.35 per mile driven. Which equation is written correctly, for the company he used to determine the distance in miles, m, that would make the total charges of both auto-rental agencies equal. Group of answer choices

Answers

Answer:

A. 386 + .20m = 344 + .35m

280 miles

Step-by-step explanation:

A. 386 + .20m = 344 + .35m

B. 344 + .20m = 386 + .35m

C. 344 + 20m = 386 + 35m

D. 386 + 20m = 344 + 35m

Right Price Auto charged a flat fee of $386 plus $0.20 per mile driven.

Right price auto = fixed charge + variable charge

= 386 + .20m

Where m = number of miles

EconoCar charged a flat fee of $344 plus $0.35 per mile driven.

EconoCar = fixed charge + variable charge

= 344 + .35m

Where m = number of miles

Equate the total charges of both auto-rental agencies

Right price auto = EconoCar

386 + .20m = 344 + .35m

Collect like terms

386 - 344 = .35m - .20m

42 = .15m

Divide both sides by .15

m = 42 / .15

= 280

m = 280 miles

what is -8(4k+2)=112

Answers

Answer:K= -4

Step-by-step explanation:

What is the GCF ( greatest common factor) of 16 and 36?

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The factors of 16 are: 1,2,4,8

The factors of 36 are:1,2,3,4,6,9,12,18

4 are in both sets and is the highest so the GCF=4

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