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Gather three of your favourite packaged foods; perhaps one from each: breakfast, lunch and dinner. Use the model explained in the "Are You Sure It's Fat Free?" to analyze, through the mathematical formula explained, the fat content and protein content from your foods. To analyze the protein content use 4 calories per gram of protein, rather than the 9 calories for grams of fat.
Determine the warranty period, The project managers of a television manufacturing company plan to determine a warranty period for their 46" flat screen TV's so that only less than 4% of the time a failure would happen during the warranty period
Let N be a positive integer. Let d be an integer relatively prime to phi(N) (phi denotes the euler totient function). Prove that there exists a d' in Z (=integers) with dd'=1 mod phi(N).
Probability of Drawing Two Red and Two Blue Marbles, A bag contains 4 red, 3 white and 5 blue marbles, What is the probability that in a sample of 4 marbles that are drawn
Suppose 2 cards are drawn without replacement from an ordinary deck of 52. Find the probabilities of the following results.
Prove that if f(x) is even on [-a, a] and integrable on [0, a] where a>0, then f(x) is integrable on [-a, a] and Int([-a, a], f(x)dx) = 2*Int([0, a], f(x)dx).
Evaluate the velocity vector at a particular point, vector projection of acceleration and the length of the curve between two points.
Let alpha = {x_1, x_2, ..., x_n} be an arbitrary orthonormal basis for V. Prove that T is orthogonal iff [T]_alphaalpha is an orthogonal matrix.
Two chemicals A and B are combined to form a chemical C. The rate of the reaction is proportional to the product of the instantaneous amounts of A and B not converted to chemical C.
Explain and give examples for the following:- Equivalent sets vs. Equal sets-Cardinality of sets and how cardinality relates to the number of subsets of a set
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.
From the sensitivity analysis, which warehouse site should have had more paper allocated to it at the start of the week and by how much per tonne would the overall cost of transport have been reduced?
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.
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