Answer:
Step-by-step explanation:
if they are Pythagorean triples they should check for the theorem
the biggest value 17/8 should be the hypothenuse 
(17/8)² = 1² + (15/8)² ; square the numbers
289/ 64 = 1+ 225/ 64 ; find the common denominator for addition
289/ 64 = 64+ 225/ 64 ; add
289/ 64 = 289 /64 TRUE so they are Pythagorean Triples
 
        
             
        
        
        
Answer:
   91
Step-by-step explanation:
p^6×q^12 will have (6+1)(12+1) = 7×13 = 91 positive integer divisors.
 
        
                    
             
        
        
        
The probability is 2/25 or an 8% chance. By taking the probability of the fishers from Clearwater (56/70) and multiplying that by the probability of the non fishers from Mountain view (8/80) we can find the total probability of the situation. 
        
             
        
        
        
hi <3
this is a lot simpler if you just ignore the variable (basically the letter)
now you have -10 - 1
which gives you -11
now just add back on the variable to give you your answer of:
-11x
hope this helps :)
 
        
             
        
        
        
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 = 