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1. For the two acute angles, m1=6x -3° and m2 =x + 2°. Solve for x and the measure of each angle. State the ideas from the tool kit that justify the procedure you use.
2. Find the minimum and maximum limits for the length of the third side of a triangle if the other two sides and 83' and 117'.
Probability problems based on Poisson & Normal distribution
Find the monthly breakeven volume for the company.
Explain, in your own words, the product rule of exponents. Why does it work? Give examples. Please use a problem from page 412 #'s 27 - 38 or page 413 #'s 51 - 56, 101 as your example for this question. Please try to avoid using a problem someone ..
Probability, Combinations and Permutations : Sampling Without Replacement, A basket contains 4 black, 2 red, and 5 green marbles. A sample of three marbles is drawn
Show that if R is a ring with identity element and x is an element in R, then Rx = {rx: r in R} is the principal left ideal generated by x. Similarly,
If f is continuous on [0,1] and if (integral from zero to one of (f(x) x^n)dx)) =0 for n in the Naturals, prove that f(x)=0 on [0,1]/ Hint: The integral of the product of f with any polynomial is zero. Use the Weierstrass approximation theorem to ..
Matrice operations solve the problem
The sum of three numbers is 98. The ratio of the first to the second is 2:3, and the ratio of the second to the third is 5:8. Find the value of the second number?
Let M be a two by two matrix for which each element is a real number, and let S be the set of all such matrices. Consider the mapping f of S to the real numbers R defined by the relation f(M) = determinant of M.
Give an example of a linear function and show at least one method of graphing it. By looking at the graph of a line, how can you tell if its slope is negative? What kind of line has a slope of zero and why?
Suppose that you travel north for 65 kilometers then travel east 75 kilometers. How far are you from your starting point?
A two-person game is played in which a fair coin is tossed until either the sequence HT (heads, tails) or the sequence TT (tails, tails) appears.
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