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:
336 inches
Step-by-step explanation:
14 x 24
9514 1404 393
Answer:
(c) 9, 24, 26
Step-by-step explanation:
If you're familiar with Pythagorean triples, you may recognize that 10-24-26 is a doubling of the common 5-12-13 triple seen in many problems. That means the triple 9-24-26 cannot be a right triangle.
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The "form factor" of f = a^2 +b^2 -c^2, where c is the longest side length, can signal the kind of triangle it is. f=0 indicates a right triangle (values satisfy the Pythagorean theorem). When there are a lot of numbers to try, I like to let a calculator or spreadsheet do the math. (See attached).
As indicated above, the 9-24-26 triple cannot be a right triangle. For f < 0, it will be an obtuse triangle.
Answer:
6p^5 q^3
Step-by-step explanation:
download the app cymath for these types of questions
this (^) means exponents
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Number 5:
2p^2qx3p^3q^2
Take out the constants (2x3)p^2p^3qq^2
Simplify 2x3 to 6, 6p^2p^3qq^2
6p^2+^3q^1+^2
simplify 2+3 to 5, 6p^5q^1+^2
simplify 1+2 to 3
6p^5 q^3
Answer:
21 cuz it ✅ and if don't think it i don't known what it is
