Assuming that the 120 faces have all numbers from 1 to 120 printed on them, we have a dice that can output all numbers between 1 and 120 with the same probability of 1/120.
So, the expected value is

Answer: =160
Step-by-step explanation:
Volume of prism= 1 1/3 x 5/6 x 2/3 = 4/3 x 5/6 x 2/3 = 20/27
Volume of cube= 1/6 x 1/6 x 1/6 = 1/216
Number Cubes packed in rectangular prism= 20/27 / 1/216 = 160
Answer: D) (x, y) > (x -3, y +3)
Step-by-step explanation: You can check by using an original point, let’s say D. It’s at (0, -3). Subtract 3 for x (left and right) and add 3 for the y (up and down). This means it will be (-3, 0) and that’s the new point that it’s at on the graph.
Answer:
D and yes
Step-by-step explanation:
+ 1 = -3 If we multiply both sides of the equation by 4 will will get the second equation
(4)
+ (4) 1 = (4) -3
x + 4 = -12 We solve this for x by subtracting 4 from both sides.
x = -16
Plug -7 into both equations and you will see that it is a solution
+ 1 = -3
+ 1 = -3
-4 + 1 = -3
-3 = -3
x + 4 = =12
-16 + 4 = -12
-12 - -12