Answer:
The total number of samples that give this outcome is 5.
Step-by-step explanation:
Since Y takes values in {0,1,2,3}, For us to have that
implies that all of them are zero but one. The one that is non-zero necessarily is equal to 1. To calculate the number of samples that give this outcome is equivalent to counting the total number of ways in which we can pick the i-index such that
. Note that in this case we can either choose Y1 to be 1, Y2 to be 1 and so on. So, the total number of samples that give this outcome is 5.
9514 1404 393
Answer:
(b) 28
Step-by-step explanation:
The total of the 3 numbers will be 3×15 = 45. Then the third number is ...
45 -7 -10 = 28
Given:
Original or base : 40
New amount : 72
We need to find the difference of the new amount and the original amount
72 - 40 = 32
We then divide the difference by the original amount
32/40 = 0.80
We multiply the quotient by 100%
0.80 x 100% = 80%
The percentage of change is 80%
Answer:
C = 25.12 , A = 50.24
Step-by-step explanation:

C = 8 * 3.14 = 25.12
A = (4*4) * 3.14 = 50.24