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
The answer is 4pi because the formula to find the circumference is C = 2 pi r. this question is asking for the terms of pi which means you remove the pi from the formula and solve it with out it. the radius is 2 because of the 2 units on the graph is halfway of the circle. you would just multiply 2 x 2 and get 4. after that you put the pi on the end of the 4. so the answer is C. (4pi)
The probability that a randomly selected student is in music/drama is 25%
<h3>How to determine the probability?</h3>
From the table, we have the following values
Music/Drama = 7 + 13 + 5 = 25
Total = (20 + 20 + 25 + 7 + 13 + 5 + 3 + 2 + 5) = 100
The probability is then calculated as:
P = Music/Drama / Total
So, we have:
P = 25/100
Express as percentage
P = 25%
Hence, the probability that a randomly selected student is in music/drama is 25%
Read more about probability at:
brainly.com/question/251701
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I believe it is the Odometer
