Answer:
1/8 room
Step-by-step explanation:
(3/4 roll)/(6 rolls/room) = (3/4)(1/6) rooms = 1/8 rooms
With 3/4 roll of wire, the electrician can wire 1/8 of a room.
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:
3
Step-by-step explanation:
Answer:
D)p is false and q is false.
Step-by-step explanation:
This is the case of the disjunction operator. This operator creates a compound statement that:
1. It's true if either simple statement is true
2. It's false if both simple statements are false.
So p and q are statements and the only way the compound statement is false is when both simple statements are false. For instance:
For:
p: "Peter is home"
q: "Charles is home"
The disjunction would look like these two forms:
p v q
Other form to write this is as follows:
Peter is home OR Charles is home.
So the compound statement is false if both Peter and Charles aren't home.