1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
hoa [83]
3 years ago
13

A game is played using ne die. If the die is rolled and shows 3, the player wins $45. If the die shows any number other than 3,

the player wins nothing. If there is a charge of $9 to play the game, what is the game's expected value?
Mathematics
1 answer:
I am Lyosha [343]3 years ago
3 0

Answer:

-$13.5

Step-by-step explanation:

Let x be a random variable of a count of player gain.

- We are told that if the die shows 3, the player wins $45.

- there is a charge of $9 to play the game

If he wins, he gains; 45 - 9 = $36

If he looses, he has a net gain which is a loss = -$9

Thus, the x-values are; (36, -9)

Probability of getting a 3 which is a win is P(X) = 1/6 since there are 6 numbers on the dice and probability of getting any other number is P(X) = 5/6

Thus;

E(X) = Σ(x•P(X)) = (1/6)(36) + (5/6)(-9)

E(X) = (1/6)(36 - (5 × 9))

E(X) = (1/6)(36 - 45)

E(X) = -9/6 = -3/2

E(X) = -3/2

This represents -3/2 of $9 = -(3/2) × 9 = - 27/2 = -$13.5

You might be interested in
Maria has 37 pieces of fruit to make fruit baskets as gifts for her 5 teachers.
agasfer [191]

Answer: The answer would be C

Step-by-step explanation:

37 + 5 = 42

Each teacher needs 8 and there are 5 teachers

5 x 8 = 40

So each teacher can have 8 apples and there will be two left over

7 0
3 years ago
How do you graph y = x + 2
Ghella [55]

Answer:

Basically you first start with having a graph with positive and negative numbers on four sides. Then, you start with 2. You have to graph 2 on the  positive y section.

x = 1/1 so you go 1 up which means put another dot at 3 on the y section, then go 1 on the right. And thats it.

Please brainliest

Step-by-step explanation:

7 0
3 years ago
The product of (x+2) (x-3) is​
Aloiza [94]

Answer:

<h2>x{}^{2} - x - 6</h2><h2 />

Step-by-step explanation:

(x + 2)(x - 3)

Multiply each term in the first parentheses by each term in the second parentheses ( FOIL)

x(x - 3) + 2(x - 3)

Calculate the product

{x}^{2}  - 3x + 2x - 6

Collect like terms

{x}^{2}  - x - 6

Hope this helps..

Best regards!

5 0
3 years ago
Read 2 more answers
Pleasee help x.x 1. Solve the system by elimination-
patriot [66]
Q1. The answer is x = 1, y = 1, z = 0

<span>(i) -2x+2y+3z=0
</span><span>(ii) -2x-y+z=-3 
</span>(iii) <span>2x+3y+3z=5
</span><span>_________
Sum up the first and the third equation:
</span>(i) -2x+2y+3z=0
(iii) 2x+3y+3z=5
_________
5y + 6z = 5

Sum up the second and the third equation:
(ii) -2x-y+z=-3 
(iii) 2x+3y+3z=5
_________
2y + 4z = 2


(iv) 5y + 6z = 5
(v) 2y + 4z = 2
________
Divide the fifth equation by 2
(iv) 5y + 6z = 5
(v) y + 2z = 1
________
Multiple the second equation by -3 and sum the equation
(iv) 5y + 6z = 5
(v) -3y - 6z = -3
________
2y = 2
y = 2/2 = 1


y + 2z = 1
1 + 2z = 1
2z = 1 - 1
2z = 0
z = 0


-2x-y+z=-3
-2x - 1 + 0 = -3
-2x = -3 + 1
-2x = -2
x = -2/-2 = 1



Q2. The answer is x = -37, y = -84, z = -35

<span>(i) x-y-z=-8 
(ii) -4x+4y+5z=7 
(iii) 2x+2z=4
______
</span>Divide the third equation by 2 and rewrite z in the term of x:
(iii) x+z=2
z = 2 - x
______
Substitute z from the third equation and express y in the term of x:
<span>x-y-(2-x)=-8 
x - y - 2 + x = 8
2x - y = 10
y = 2x - 10
______
Substitute z from the third equation and y from the first equation into the second equation:
</span><span>-4x + 4y + 5z = 7 
-4x + 4(2x - 10) + 5(2 - x) = 7
-4x + 8x - 40 + 10 - 5x = 7
-x -30 = 7
-x = 30 + 7
x = -37
y = 2x - 10 = 2*(-37) - 10 = -74 - 10 = -84
z = 2 - x = 2 - 37 = -35</span>
8 0
3 years ago
Is this a function? Why or why not? *<br> 10 points<br> Captionless Image
GrogVix [38]

Answer:

Wheres the function, what do u mean by captionless image

3 0
3 years ago
Other questions:
  • The graphs of f(x) = 10^x and its translation, g(x), are
    9·1 answer
  • Please help me, you have to simply it
    12·1 answer
  • Which graph best represents a logarithmic function?
    7·2 answers
  • The sum of two numbers is 4 less than twice the larger. if the larger is deecreased by three times the smaller, the reesult is -
    10·1 answer
  • If 3/4 of a pie is being split between 6 people, how big of a slice would each person get?
    11·1 answer
  • the height of the gateway arch shown on the Missouri quarter is 630 feet or 7560 inches.find how many 4 inch stacks of quarters
    12·1 answer
  • Heeeeeeeeeeeelppppppppppppppppppppppppppppp
    14·1 answer
  • 42 is 150% of what number
    11·2 answers
  • Problem Solving Guess and Check: Place 40 checkers in two stacks so that, if five checkers are moved from the taller stack to th
    13·1 answer
  • a trapezoid has a perimeter of 14ft what will the perimeter be if each side length id increased by a factor of 7
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!