Let's plug in (18,10) into each answer choice until we find the one that has it as a solution.
A) 2x - y = 26
2(18) - 10 = 26
36 - 10 = 26
26 = 26
Your answer is A.
I'll just do the rest to show that you the they are incorrect.
B) x + y = 18
18 + 10 = 18
28 ≠ 18
C) 2x - 2y = 36
2(18) - 2(10) = 36
36 - 20 = 36
16 ≠ 36
D) x - y = -28
18 - 10 = -28
8 ≠ -28
Your answer is A) 2x - y = 26.
30% percent is what they marked up
Answer:
Look at picture
Step-by-step explanation:
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
