Answer:
The zeroes would be -3 and a double root at 5.
Step-by-step explanation:
We can find this by first expanding the function.
c(x) = (x + 3)(x - 5)^2
c(x) = (x + 3)(x - 5)(x - 5)
Then we can solve for the zeroes by setting each parenthesis equal to 0 and solving.
x + 3 = 0
x = -3
x - 5 = 0
x = 5
x - 5 = 0
x = 5
Because 3 2/4 would be the answer when you subtract it and most teachers and/or tests want you to simplify the answer which would be 1/2 because you would divide the numerator and denominator by 2.
<em>Y</em>₁ and <em>Y</em>₂ are independent, so their joint density is

By definition of conditional probability,
P(<em>Y</em>₁ > <em>Y</em>₂ | <em>Y</em>₁ < 2 <em>Y</em>₂) = P((<em>Y</em>₁ > <em>Y</em>₂) and (<em>Y</em>₁ < 2 <em>Y</em>₂)) / P(<em>Y</em>₁ < 2 <em>Y</em>₂)
Use the joint density to compute the component probabilities:
• numerator:






• denominator:

(I leave the details of the second integral to you)
Then you should end up with
P(<em>Y</em>₁ > <em>Y</em>₂ | <em>Y</em>₁ < 2 <em>Y</em>₂) = (1/6) / (2/3) = 1/4
67,234.63992 to the nearest thousandth is 67,234.64.