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suppose the clerk had to stack 200 boxes of cereal in a triangle. how many boxes would be on the bottom row?
Using graphing to check your answers is helpful. When you factor a trinomial into two binomials, each binomial represents a linear relationship. If you plot the two binomials (which are just lines) on a graph
A paper bag contains a mixture of three types of candy. There are ten gum balls, seven candy bars, and three packages of toffee. Suppose a game is played in which a candy is randomly taken from the bag
A piece of wire is 38 inches long. The wire is cut into two pieces and each is bent to form a square. Find the length of each piece if three times the area of the larger square exceeds the area of the smaller square by 95.75 square inches.
The probability that both defective lights will be found, A box contains two defective Christmas tree lights that have been inadvertently mixed with eight non-defective lights. If the lights are selected one at a time without replacement
compute the set of positive divisors of gcd(a, b), and compare the two sets. Once you think you see a pattern, state a conjecture and try to prove it.
Solving probability problems based on Binomial distribution
Find the resultant (sum) of the complex numbers. Express in rectangular form
Sharon needs 64 credits to graduate fro her community college. So far she has earned 24 credits. What percent of the required credits does she have?
Find the absolute minimum and maximum values of the function f(x,y) = 1+4x-5y on the closed triangular region with the vertices (0,0),(3,0), and (0,3).
Complex problems
If H and K are subgroup of G, with K a normal subgroup of G, K intersect H=1 and KH=G, then G is called a semidirect product (or split extention) of K by H.
Probability: Working with the standard distribution curve. A company installs 5000 light bulbs, each with an average life of 500 hours and a standard deviation of 100 hours, and a distribution approximated by a normal curve
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