At the county fair animals are judged for the quality of their breeding and health. the animal pens are arranged in an array with one animal in each pen. a barn can hold at most 10 rows of pens and at most 6 pens in each row with room for people to walk around them. what different ways can the planners of the county fair arrange the pens for the horses and cows in the same barn? if 18 horses and 22cows 57 chickens are there

If the ratio of sum of the first m and n terms of an ap is m2 : n2 , show that the ratio of its mth and nth terms is (2m − 1) : (2n − 1).

Suppose that 3% of all athletes are using the endurance-enhancing hormone epo (you should be able to simply compute the percentage of all athletes that are not using epo). for our purposes, a “positive” test result is one that indicates presence of epo in an athlete’s bloodstream. the probability of a positive result, given the presence of epo is .99. the probability of a negative result, when epo is not present, is .90. what is the probability that a randomly selected athlete tests positive for epo? 0.0297

The equation of a parabola is given. y=18x2+4x+20 what are the coordinates of the focus of the parabola?