You can roll a total of 6 by rolling (1, 5), (2, 4), (3, 3), (4, 2), or (5, 1). There are 36 total possible rolls that can be obtained, so you roll a total of 6 with probability 5/36.
You can roll a total of 11 by rolling (5, 6) or (6, 5), hence with probability 2/36 = 1/18.
Any of the other remaining 29 outcomes occurs with probability 29/36.
The expected value of your winnings is
$18*5/36 + $72*1/18 - $9*29/36 = -$0.75
so the answer is E.
I count five 'k's there, so that part of the expression is
k⁵ .
Two 'n's form the rest of it, so that part is n² .
The parts are multiplied, so the simplest form of the expression is
k⁵ n² .
Use the given slope and point and put it into the point-slope formula
y - y1 = m ( x - x1 )
1 is your x value (x1) and 9 is your y value (y1). M = -3
In point slope form, the answer is
y - 9 = -3 ( x - 1 )
Answer:
52°
Step-by-step explanation:
y= 180°-67°= 113°
x=180°-15°-113°=52°