Answer:
Slope of the line y = x + 10 is 1. So, any straight line perpendicular to this must be having slope of (-1).
Let, the line be y = - x + b and it passes through (15, -5).
So, 15 = 5 + b
b = 10.
So, equation of that line: y = -x + 10
Or, x + y = 10.
Y-intercept of the line = 10 units.
A group of students was asked about the number of e-mails they each sent that day. The results are: 0,0,0,0,1,2,2,3,5,5, 8, 9, 1
masha68 [24]
Answer:
Step-by-step explanation: I don’t know I’m sorry
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
