Five pulse rates are randomly selected from a set of measurements. The five pulse rates have a mean of 86.0 beats per minute. Four of the pulse rates are 94, 91, 85, and 89. a. Find the missing value. b. Suppose that you need to create a list of n values that have a specific known mean. Some of the n values can be freely selected. How many of the n values can be freely assigned before the remaining values are determined? (The result is referred to as the number of degrees of freedom.)

Norman jones, an economic historian at the university of utah, has described the views of the ancient greek philosopher aristotle on interest: aristotle defined money as a good that was consumed by use. unlike houses and fields, which are not destroyed by use, money must be spent to be used. there- fore, as we cannot rent food, so we cannot rent money. moreover, money does not reproduce. a house or a flock can produce new value by use, so it is not unreasonable to ask for a return on their use. money, being barren, should not, therefore, be expected to produce excess value. thus, interest is unnatural. what did aristotle mean in arguing that money is “barren”? why would money being barren mean that lenders should not charge interest on loans? do you agree with aristotle’s reasoning? briefly explain.