X takes values: { 3, 4, 5 }
where: P ( X = 3 ) + P ( X = 4 ) + P ( X = 5 ) = 1
For X = 3 we have : BBB or GGG.
P ( X = 3 ) = ( 1/2 * 1/2 * 1/2 ) * 2 = 1/8 * 2 = 2 / 8 = 1/4
P ( X = 4 ) = ( 1/2 * 1/2 * 1/2 * 1/2 ) * 6 = 6 /16 = 3/8
P ( X = 5 ) = ( 1/2 * 1/2 * 1/2 * 1/2 * 1/2 ) * 12 = 12 / 32 = 3/8
1 / 4 + 3 / 8 + 3 / 8 = 8 / 8 = 1
Answer:
V ≈ 714 in³
Step-by-step explanation:
The volume of a triangular prism can be found using the formula:
V = Bh, where B = the area of the base and h = the height of the prism. Since the base is a triangle, you will need to use the formula for area of a triangle: A = 
bh.
In this figure, the base of the triangle = 23.25 and the height of the triangle is 10.25. So, the area = ()(23.35)(10.25) ≈ 119 in²
With the B = 119 and the height of the prism = 6:
V = 119(6) = 714 in³
Unfortunately your response would only be true if CD was perpendicular to AB. However we don't know if CD is perpendicular or not. So we don't have enough information. The actual answer is choice E) None of these.
3 49/90
Step-by-step explanation:
7 11/78-4 1/15
(7-4)+(11/18-1/15)
3+49/90
3 49/90
3 19/90 or
3.5444444444
1. Divide the first term of the numerator by the first term of the denominator, and put that in the answer.
2. Multiply the denominator by that answer, put that below the numerator.
3. Subtract to create a new polynomial.
