The holy roman empire was a group of regions in central europe that was held together by a political union. the holy roman empire was formed in the year 962962962. let xxx represent any year. write an inequality in terms of xxx and 962962962 that is true only for values of xxx that represent years before the year that the holy roman empire formed.

The wheels of a bicycle have a diameter of 70cm. how many meters will the bicycle travel if each wheel makes 50 revolutions

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

Assume that y varies inversely with x. if y=1.6 when x=0.5 find x when y=3.2