Math 2000 Solutions 1

Spring 2002

Exercise 2 of the Prologue, was assigned! Solutions will vary.

Unit 1C

12. All genetics courses are science courses, so the genetics circle should be entirely inside the science circle.

16. The Venn diagram consists of two overlapping circles. The X in the overlap region indicates that there really are some mammals that swims.

28. The Venn diagram reflects the fact that no category entirely contains any of the others: some professional athletes are men and some are not; some professional athletes are basketball players and some are not; some men are basketball players and some are not.

Basketball players

38. Here is one way to define the two circles of the Venn diagram.

42. We need one circle, either for cancer or no cancer, and another circle, either for one tomato per day of fewer than three tomatoes per week. Here is one way to draw the Venn diagram.

Cancer

Unit 1E

6. When stripped of all the legal terms, the initiative says:

Shall we have an amendment that allows a candidate to declare voluntarily that s/he will not serve more than three terms as Representative or two terms as Senator, but will not be penalized if s/he chooses not to make such a declaration?

a. The fact that an initiative about term limits is on the ballot implies that term limits are not currently mandatory.

b. No, if passed, the initiative would make term limits voluntary.

c. No, if passed, there would be no penalty for refusing to accept term limits.

8. Note that your current rate is equal to the new weekday nighttime rate. So you need estimates of the number of minutes you spend calling during the weekday daytime and during the weekend. The weekday daytime rate is five times the weekend rate. It turns out that if the number of weekday daytime minutes is less than one-third the number of weekend minutes, then the new plan is better. You might also want to ask about hidden service charges, taxes, or fees to connect the new service.