Answer:
141
Step-by-step explanation:
calculator
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
<h3>The distance between the points (2,3) and (5,5) is 3.6 units</h3>
<em><u>Solution:</u></em>
<em><u>Distance between two points is given by:</u></em>
We have to find the distance in the standard (x, y) coordinate plane between the points (2,3) and (5,5)
From given,
Substituting the values we get,
Thus distance between the points (2,3) and (5,5) is 3.6 units
Answer:
b) 8
I assume the question is suggesting that you cant "cut" any of the cubes
so that the "division" has to result in an integer
Step-by-step explanation:
7 85.71428571
8 75
9 66.66666667
10 60
