Answer:
30.5
Step-by-step explanation:
5/54 or approximately 0.092592593
There are 6^3 = 216 possible outcomes of rolling these 3 dice. Let's count the number of possible rolls that meet the criteria b < y < r, manually.
r = 1 or 2 is obviously impossible. So let's look at r = 3 through 6.
r = 3, y = 2, b = 1 is the only possibility for r=3. So n = 1
r = 4, y = 3, b = {1,2}, so n = 1 + 2 = 3
r = 4, y = 2, b = 1, so n = 3 + 1 = 4
r = 5, y = 4, b = {1,2,3}, so n = 4 + 3 = 7
r = 5, y = 3, b = {1,2}, so n = 7 + 2 = 9
r = 5, y = 2, b = 1, so n = 9 + 1 = 10
And I see a pattern, for the most restrictive r, there is 1 possibility. For the next most restrictive, there's 2+1 = 3 possibilities. Then the next one is 3+2+1
= 6 possibilities. So for r = 6, there should be 4+3+2+1 = 10 possibilities.
Let's see
r = 6, y = 5, b = {4,3,2,1}, so n = 10 + 4 = 14
r = 6, y = 4, b = {3,2,1}, so n = 14 + 3 = 17
r = 6, y = 3, b = {2,1}, so n = 17 + 2 = 19
r = 6, y = 2, b = 1, so n = 19 + 1 = 20
And the pattern holds. So there are 20 possible rolls that meet the desired criteria out of 216 possible rolls. So 20/216 = 5/54.
Since the prism completely filled with 2304 cubs
Since the edge of the cube is 1/4 cm
Since the volume of the cube = edge x edge x edge
Then find the volume of 1 cube, then multiply it by the number of cubes to find the volume of the prism
Multiply it by 2304
The volume of the prism is 36 cm^3
8/20 in simplest form is 2/5 because 8/20 divided by 4/4 equals 2/5
So, there are 12 pieces. since he ate 1/4 of it already, he divided the rest to 1/12 each equivlent to a whole pizza. since 1/6 of it was left, so, he got 1/4 for himself, each friend had one, then 1/6 was left. before, he made it equivlent to a twelve piece minus 4. 12 - 4 = 8, 1/6 means 6 pieces or 3 for 12. final answer, it would most likely be 6 or 4. thank you.
