If f(x) = 6x(1 - x) is a probability density function for 0 ? x ? 1, find F(x), the corresponding cumulative distribution function and use it to find Pr
.Enter just a reduced fraction representing 
Do not label.
Fill in the blank(s) with the appropriate word(s).
1/2
F(x) = 3x2 - 2x3 ; Pr
= 
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Provide an appropriate response.Find the extrema of f(x, y, z) = x + yz on the line defined by x = 3(8 + t), y = t - 3, and z = t + 8. Classify each extremum as a minimum or maximum. (Hint: w = f(x, y, z) is a differentiable function of t.)
A. (36, 1, 12), minimum B. (12, -7, 4), minimum; (36, 1, 12), maximum C. (12, -7, 4), minimum D. (36, 1, 12), minimum; (0, -3, 0), minimum
Decide whether or not the ordered pair is a solution to the equation.y = -4; (-2, 5)
A. Yes B. No
Solve the problem.The formula P = 0.68x2 - 0.047x + 3 models the approximate population P, in thousands, for a species of fish in a local pond, x years after 1997. During what year will the population reach 27,198 fish?
A. 2002 B. 2004 C. 2005 D. 2003
Determine whether the pair are two equivalent expressions, two equivalent equations, or neither.9x and (8x - 1) = 2
A. expressions B. equations C. neither