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:
Step-by-step explanation:
Given that acceleration of an object is
is the solution to the differential equation
Since v(0) =7
we get ln 7 = C
Hence 
since velocity is rate of change of distance s we have
![v=\frac{ds}{dt} =7e^{-2t}\\s= [tex]s(t) =\frac{-7}{2} (e^{-2t})+C)[](https://tex.z-dn.net/?f=v%3D%5Cfrac%7Bds%7D%7Bdt%7D%20%3D7e%5E%7B-2t%7D%5C%5Cs%3D%20%5Btex%5Ds%28t%29%20%3D%5Cfrac%7B-7%7D%7B2%7D%20%28e%5E%7B-2t%7D%29%2BC%29%5B)
substitute t=0 and s=0
So solution for distance is
1. Answer = About 1451.42 m³
- First, we need to find the volume of the cube:
- Formula: πr²h
- Volume = π * 3² * 50 = 1413.72 m³
- Second, we need to find the volume of the cone:
- Formula: (πr²h)/3
- Volume = π * 3² * 4 = 37.69 m³
- Third, we need to add these two volumes to find the total volume of the figure.
- 1413.72 m³ + 37.69 m³ = 1451.42 m³.
2. Answer <em>= </em>960 m³
- Formula: (1/2(b*l)) * 20
- First, we need to find the area of the base (1/2 * b* l).
- 1/2 * 8 * 12 = 48.
- Second, we need to multiply the area of the base by the height to get the volume.
- B * h = 48 * 20 = 960 m³.
Answer:
I only know the first one....
4+2+1=7
49p/7= 7p
4units:2units:1units
4×7p= 28p
2×7p= 14p
1×7p= 7p
divided it is...
28p:14p:7p
