Answer:
The probability is
Step-by-step explanation:
We can divide the amount of favourable cases by the total amount of cases.
The total amount of cases is the total amount of ways to put 8 rooks on a chessboard. Since a chessboard has 64 squares, this number is the combinatorial number of 64 with 8,
For a favourable case, you need one rook on each column, and for each column the correspondent rook should be in a diferent row than the rest of the rooks. A favourable case can be represented by a bijective function with A = {1,2,3,4,5,6,7,8}. f(i) = j represents that the rook located in the column i is located in the row j.
Thus, the total of favourable cases is equal to the total amount of bijective functions between a set of 8 elements. This amount is 8!, because we have 8 possibilities for the first column, 7 for the second one, 6 on the third one, and so on.
We can conclude that the probability for 8 rooks not being able to capture themselves is
Answer:
Step-by-step explanation:
The area of a rec tangle is A x W
but first you have to find the area of the triangle wich is going to be 127.5.
Then you have to multiply 127.5 times 15.
And that will give you 1,912.5.
I think this is correct, but im not sure.
(2,5) ...........................................................................................
Answer:
The table represents a function.
What is the value of f(-1)?
f(-1) = - 3
f(-1) = -1
f(-1) = 0
f(-1) = 6
Step-by-step explanation:
Area of a prism would 1/2xBxHxL
If prism B is twice twice the Height, then compared to A the area of B would be..
1/2xBx(2H)xL.. so prism B would have twice the volume of A.
Hope this helps