Answer:
The coordinates of other point are: (5,1)
Step-by-step explanation:
Given coordinates are:
M(x,y) = (2,4)
R(x_1,x_2) = (-1,7)
We have to find the coordinates of other point (x2,y2)
The formula for mid-point is given by:

Putting the values we get

Putting respective elements equal

Hence,
The coordinates of other point are: (5,1)
A=7 b =4 and c=9 Because the 7 is the base of the number
As function is = 4x
so
4x=-x+5
5x=5
x=1
If nCk represents the number of ways k parts can be chosen from a pool of n, the probability of interest is the complement of the probability of selecting all good parts.
1 - (167C3)/(170C3) = 42,085/804,440 ≈ 0.0523
_____
nCk = n!/(k!(n-k)!)
Answer:
The volume of the prism is <u>320 15/16 inches³</u>.
Step-by-step explanation:
Given:
The length of the base of a rectangular prism is 9 7/8.
The width of the prism is 8 1/8.
And the height is 4 inches.
Now, to find the volume of the prism.
(Length) <em> l = 9 7/8 = 79/8 inches.</em>
(Width) <em> w = 8 1/8 = 65/8 inches</em>.
(Height) <em>h = 4 inches</em>.
So, by putting the formula to get the volume:
Volume = w×h×l.


<em>Volume = 320 15/16 inches³.</em>
Therefore, the volume of the prism is 320 15/16 inches³.