Boxes are labeled as containing 500 g of cereal. The machine filling the boxes produces weights that are normally distributed with standard deviation 12 g. If the target weight is 500 g, what is the probability that the machine produces a box with less than 290g of cereal? Round your answer to four decimal places.
What will be an ideal response?
0.2033
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Solve the problem.On a test, Manuel answered incorrectly 84 questions or 42% of the questions. How many questions were on the test?
A. 2000 B. 200 C. 0.5 D. 50
Use synthetic division to divide f(x) by x - c, and then write f(x) in the form f(x) = (x - c)q(x) + r.f(x) = -4x3 - 18x2 + 41x + 30; x + 6
A. (x + 6)
+ 0
B. (x + 6)(-4x2 + 6x + 5) + 0
C. (x + 6)
+ 0
D. (x + 6)(4x2 - 6x + 5) + 0
Estimate the absolute maximum value of the function 
to two decimal places on the interval [0, 3].
Determine the intervals on which the function is increasing, decreasing, and constant.
A. Increasing on (-1, 0) and (3, 5); Decreasing on (0, 3); Constant on (-5, -3)
B. Increasing on (-2, 0) and (3, 4); Decreasing on (-5, -2) and (1, 3)
C. Increasing on (1, 3); Decreasing on (-2, 0) and (3, 5); Constant on (2, 5)
D. Increasing on (-2, 0) and (3, 5); Decreasing on (1, 3); Constant on 