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A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 46.5ft^3. What dimensions yield the minimum surface area? Round to the nearest tenth, if necessary.
a) 9.6 ft by 9.6 ft by 0.5 ft
b) 3.6 ft by 3.6 ft by 3.6 ft
c) 5.2 ft by 5.2 ft by 1.7 ft
d) 4.5 ft by 4.5 ft by 2.3 ft
Each of the numbers 1 through 10 inclusive has been written on a separate piece of paper. The 10 pieces of paper have been placed in a hat
Two angles are complementary of each other. Twice one angle is equal to the other angle plus the product of three and five. Set up a system of linear equations to represent the two angles.
Vectors : Identities and Dot Products, How could you use the properties of the dot product to prove the following identities
Find the probability of the indicated results Less than 259 heads
Finding Probabilities Under Normal Distribution. Suppose x is a normally distributed random variable with y=13 and o=2. Find the following probabilities
Let X be a subset of R, let E be a subset of X, let x_0 be an adherent point of E, and let f: X-->R, g: X-->R, h: X-->R be functions such that f(x)
Given lim as x approaches 0- f(x) = Ll , lim as x approaches 0+ f(x) = Lr , and Ll ≠ Lr, which of the following statements is true?
The manager of a weekend flea market knows from past experience that if he charges x dollars for a rental space at the flea market, then the number y of spaces he can rent is given by the equation y = 200 - 4x.
Consider a standard deck of playing cards. You randomly select a card from the deck and find that you have drawn a face card.
You have just graduated from college, and you have started your first big project at your new job. Your boss informs you that you are responsible for the Equations and Inequalities section of the project and for presenting your ideas to the team.
Let R be a ring with the property that every element is either nilpotent or invertible. If a, b, c are in R with a and b nilpotent, show that ac, ca, and a + b are nilpotent.
Probability on normal distribution
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