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
P+prt
1000+1000(.06)x=2500
X=25
25 years
Answer:24*10*10=2400
Step-by-step explanation:
Well you use PEMDAS (1. Parentheses 2. Exponents 3. Multiplication and Division in order from left to right 4. Addition and Subtraction in order from left to right) to solve. you have no parentheses or exponents so you do multiplication and division first 14*14 = 196, and 196/14 is 14. Then you do addition and subtraction. 14 + 14 = 28. 28 - 14 = 14.