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:
The measure of angle B would be 100°
Step-by-step explanation:
Supplementary means two angles add up to 180 degrees. Let's say A+B=180. Since we know what A is, we can substitute that in, B+80=180. Now solve. B=100
We have 48 meters.
We need to increase it by 20%.
That means we have 48 and then we increase it by 20%.
That can be expressed as:
48 + (48 * 20%)
Now, another way to write that would be:
48 * 120%
Now, 120% is nothing but 120/100. This can even be simplified to 1.2.
48 * 120%
= 48 * 1.2
= 57.6
48m increased by 20% is 57.6m.
Answer:
5/9
Step-by-step explanation:
The scale factor by which T was dilated is ...
(side of T')/(corresponding side of T)
= 20/36 = 10/18 = 5/9 . . . (reduced form)
At 40 seconds I got 23,277 feet so yes it was ever 60 feet