MATH107 Math in SocietyWinter 2009

Turn in FINAL DRAFTS of these problems. Your finished product should be easy to read and contain how you reached your answers (show work).

Sets & Venn Diagrams

  1. Let , , , and . Find:
  1. A poll was taken of 100 students at a commuter campus to find out how they got to campus. The results were:

42 said they drove alone;

28 rode in a carpool;

31 rode public transportation;

9 used both a carpool and public transportation;

10 used both a carpool and sometimes their own car;

6 used buses as well as their own car;

4 used all three methods.

How many used none of the above-mentioned means of transportation?

  1. MontgomeryCollege has a 50-piece band and a 36-piece orchestra. If 14 people are members of both the band and the orchestra, can the band and orchestra travel in two 40-passenger buses?
  1. Matt E. Matic was applying for a job. To determine whether he could handle the job, the personnel manager sent him out to poll 100 people about their favorite types of TV shows. His data was as follows:

59 preferred comedies

38 preferred variety shows

42 preferred serious drama

18 preferred comedies and variety programs

12 preferred variety and serious drama

16 preferred comedies and serious drama

7 preferred all types

2 did not like any of these TV show types

If you were the personnel manager, would you hire Matt on the basis of this survey? Why or why not?

Number Theory

  1. Complete the Excursion on pages 183 – 185.
  1. Write each Hindu-Arabic numeral using Egyptian hieroglyphics, Roman numerals, Chinese numerals, Babylonian numerals, and Mayan numerals.
  2. 851
  3. 1,090
  4. 612,234
  5. 7,505,442
  1. Convert:

a. to base ten

b. to base two

c. to base ten

d. to base four

e. to base ten

f. to base sixteen

  1. Write the prime factorization of the number. If the number is prime, so state.
  2. 699
  3. 490
  4. 127
  5. 229
  6. 151
  7. 568

Self-Reflection

Write a short (one or two paragraphs) self-reflection of this homework assignment. What were your strengths? What were some areas in which you could improve?