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 = 
Answer:
The need to wash 16 cars.
Step-by-step explanation:
If they charge $20 per truck and washed 15, it would be $300. So you subtract $460 from $300. That gives you $160. Then, you divide $160 from $10. That gives you 16.
Answer:
The domain is the set of all possible x-values
The range is the resulting y-values
- The range is the outside temperature is here
- Function is decreasing between x= 0 to 3
- It means the temperature is decreasing between midnight and 3 AM
Answer:
$50
Step-by-step explanation:
If he pays $10 every month, and he pays for 5 months, it would be 10 x 5, which means he would be $50 in debt.