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)!)
Step-by-step explanation:
2(x+4) = 12
or, 2x + 8 = 12
or, 2x = 12-8
or, 2x = 4
or, x = 4÷2
hence, x = 2
The fries are 500 calories and each burger is 300 calories. 500+300+300=1100
The slope is
So, the equation is
The y-intercept is when x=0, so
Answer:
72 spheres are formed
Step-by-step explanation:
We start by calculating the volume of the metallic cylinder
Mathematically, we have this as;
V = pi * r^2 * h
V = pi * 21 * 14^2
V = 4116 π cm^3
The volume of each small sphere is;
V = 4/3 * pi * r^3
= 4/3 * π * 7/2^3 = 57.167 π cm^3
To get the number of small spheres, we simply divide the volumes
That will be 4116 pi / 57.167 pi = 72
