Answer:
9.11*10^-4 %
Step-by-step explanation:
To find the probability, you simply need to find the possible outcomes that allows no rooks to be in danger, and the possible amount of ways to place the rooks.
For the first outcome, you start by putting 1 rook in the first columns, you have 8 possible rows to do this. The next rook in the next column will only have 7 possible rows, as you have to exclude the one where the previous rook is located. The next rook, 6 possibilities, the next 5, and so on. So we conclude that the total amount of ways so that none of the rooks can capture any of the other rooks is 8*7*6*5*4*3*2*1 = 8! = 40320
In order to find the total amount of ways to place the rooks, you can just use a combinatoric:
![\left[\begin{array}{ccc}64\\8\end{array}\right]= \frac{64!}{8!(64-8)!} = 4.43*10^9](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D64%5C%5C8%5Cend%7Barray%7D%5Cright%5D%3D%20%5Cfrac%7B64%21%7D%7B8%21%2864-8%29%21%7D%20%3D%204.43%2A10%5E9)
Then:
P = 
9514 1404 393
Answer:
4
Step-by-step explanation:
The geometric mean of two numbers is the square root of their product.
√(8·2) = √16 = 4
The geometric mean of 8 and 2 is 4.
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The geometric mean of n numbers is the n-th root of their product.
Step-by-step explanation:
Sin: 2 square root 3: 4
Cos: 2:4
Tan: 2 square root 3: 2
The Answer Would Be 64 because if you divide 8/4.5 its equal to 64/36.
To calculate slope; rise/run
Triangle ABC: run-1 rise-5 slope-5
5 rise/ 1 run (5/1)=5
Triangle DEF: run-2 rise 10 slope-5
10 rise/ 2 run (10/2)=5
B. They are equal because the two triangles are similar