In intercept form, the plane that has these intercepts is ...
... x/(x-intercept) + y/(y-intercept) + z/(z-intercept) = 1
... x/1 + y/(-1) + z/2 = 1
... 2x -2y +z = 2 . . . . . in standard form
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:
2/3
Step-by-step explanation:
The numbers greater then 2 are 3, 4, 5, 6
That's four numbers that are greater then two.
or 4/6, then you just reduce it by dividing by two on the top and bottom
4/2 =2
6/2 = 3 so the answer is 2/3
Answer:
y = -x + 10
Step-by-step explanation:
find the slope (-1) and y intercept (10)
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Answer:
Angle F, or 1; see below
Step-by-step explanation:
When two triangles are congruent, everything about them is equal. Angle C is congruent F because they are in the same position on the triangle.
