The area of a triangle is one half the area for a rectangle because the triangle is half of a rectangle with equal base and height
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.
Answer:
if I'm not wrong I think it's B
F(x) + k - Moves the graph k units up.
k f(x) stretches the graph parallel to y-axis by a facor k
f (kx) stretches the graph by a factor 1/k parallel to x-axis
f(x + k) moves the graph 3 units to the left.
For k negative the first one moves it k units down
for second transform negative does same transfoormation but also reflects the graph in the x axis
For the third transform negative k :- same as above but also reflects in y axis
4th transform - negative k moves graph k units to the right
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