The volume formula of a sphere is 4/3 Pi R^3
To figure this out, we must cube the radius (multiply 3 times).
2 x 2 x 2 = 8 (4 x 2).
Now we must multiply 8 by 3.14
8 x 3.14 = 25.12
Since we have gotten those out of the way, we now have to multiply 25.12 by 4/3.
4/3 x 25.12 = 33.51
33.5 in ^3 is your answer since we used volume.
Hope this helps!
For binomial distribute we use formula

the probability mass function of the binomial distribution is:

Given n = 12 and π = .6. (Replace the values)
the probability for x = 5, we need to find P(x=5). Here r= 5
P(x=5)= 
=
= 0.10090 = 0.101
(b) the probability for x ≤ 5
P(x<=5) = P(x=0) + P(x=1) +P(x=2)+ P(x=3) + P(x=4) + P(x=5)
P(x<=5) =
+
+
+
+
+ 
= 0.15821229 = 0.158
(c) find the probability for x ≥ 6
P(x>=6) =P(x=6) + P(x=7) +P(x=8)+ P(x=9) + P(x=10) + P(x=11)+ P(x=12)
P(x>=6) =
+
+
+
+
+
+
= 0.8417877 = 0.0842 (rounded to 3 decimal places)
(x - 4)(x^2 + 3x + 2) =
x(x^2 + 3x + 2) - 4(x^2 + 3x + 2) =
x^3 + 3x^2 + 2x - 4x^2 - 12x - 8 =
x^3 -x^2 - 10x - 8
Do it on a scientific calculator