A continuous random variable may assume :
1 answer:
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The formula is 
r², and to find r, or radius, you divide the diameter by 2. Your radius is 12.5, so you just plug that into your formula, and you have pi(12.5)², and simplify that to pi(156.25) and then your answer is <span>490.873852123. You probably want to round to the nearest hundredth, I don't know if you have specific directions, but if so your final answer would be 490.87.</span>
Answer:
a. V = 4/3
b. See attachment
Step-by-step explanation:
a.
Given
Z = x² + y²
V = ∫ ∫ (x² + y²) dxdy {0,1}{0,y} + ∫ ∫ (x² + y²) dxdy {0,1}{x,2-x}
V = ∫ ∫ (x² + y²) dxdy {0,1}{x,2-x}
Integrate with respect to y
V = ∫ x²y+ y³/3 dx {0,1}{x,2-x}
V = ∫ x²(2-x) + (2-x)³/3 - x²(2) - (2)³/3 dx {0,1}
V = ∫ 2x² -7x³/3 + (2-x)³/3 dx {0,1}
V = 2x³/3 - 7x⁴/12 + (2-x)⁴/12 {0,1}
V = (⅔ - 7/4 + 2/12) - (0-0+16/12)
V = 4/3
