Answer:
U shaped.
Step-by-step explanation:
When x = 0 , f(x) = 6
when x =1 yf(x) = 0
when x = 2 f(x) = -2
x = 3 f(x) = 0
x = 4 f(x) = 6.
So the graphs falls from the left and rises to the right in the form of a U.
You can draw a rough graph to confirm this.
The answer is 60 because
40-10*2=60
hope it helps
Answer:
The expected volume of the box is 364 cubic inches.
Step-by-step explanation:
Since the die is fair, then P(X=k) = 1/6 for any k in {1,2,3,4,5,6}. Let Y represent the volume of the box in cubic inches. For how the box is formed, Y = X²*24. Thus, the value of Y depends directly on the value of X, and we have
- (When X = 1) Y = 1²*24 = 24, with probability 1/6 (the same than P(X=1)
- (When X = 2) Y = 2²*24 = 96, with probability 1/6 (the same than P(X=2)
- (When X = 3) Y = 3²*24 = 216, with probability 1/6 (the same than P(X=3)
- (When X = 4) Y = 4²*24 = 384, with probability 1/6 (the same than P(X=4)
- (When X = 5) Y = 5²*24 = 600, with probability 1/6 (the same than P(X=5)
- (When X = 6) Y = 6²*24 = 864, with probability 1/6 (the same than P(X=6)
As a consequence, the expected volume of the box in cubic inches is
E(Y) = 1/6 * 24 + 1/6*96 + 1/6*216+ 1/6*384+ 1/6*600+1/6*864 = 364
Answer:
C
Step-by-step explanation:
2(p+8)+4= 2p+20
(18+ t)(-3)+9=t+24
30q(2)=60q
-5(n+16)-7= -5n-87
