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The volume of a square-based rectangular cardboard box needs to be 1000 cm^3. Determine the dimensions that require the minimum amount of material to manufacture all six faces. Assume that there will be no waste material. The machinery available cannot fabricate material smaller than 2 cm in length.
Consider a seven-game world series between team A and B, where for each game, what is the most likely number of games to be played in the series for p=0.6?
Let p(x) = Ax^2 + Bx + C. Prove that for any interval [a,b], the value c guaranteed by the Mean Value Theorem is the midpoint of the interval.
A statistics professor plans his classes so carefully that the lenghts of his classes are uniformly distributed 50.0 and 52.0 minutes. Find the probably that a given class period runs greater than 51.5 minutes.
There are 3 suspects, A, B, and C, for a robbery that presumably happened in a shop. We know that the following facts are true:
one train travels 392 miles and 20 mph faster in the same time another train travels 322 miles. What is the speed of each train?
Interpreting a normal quantile plot
explain how you could form five ordered pairs that would represent a function and five ordered pairs that would represent a relation. Explain your reasoning.
The marketing department at Bodnar Industries is developing a promotional campaign to introduce a new product. A listing of the various activities required, their immediate predecessors, and estimates of their times (in days) is given below.
Find the absolute change and the percentage change in the following case. The population of a country increased from 99 million in 1990 to 259 million in 2010.
Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Transform the second expression into the equivalent logarithmic equation;
Let X be any vector space over the field F, let L be a linearly independent subset of X, and A be the set of linearly independent subsets of X containing L.
If the solution to an equation is imaginary or irrational, it takes a bit more effort to check. Replace x by each given number to verify the following statement.
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