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by: Sabrina Shen

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# MAT104, FINAL STUDY GUIDE MAT104

Marketplace > Pace University > Mathematics (M) > MAT104 > MAT104 FINAL STUDY GUIDE
Sabrina Shen
Pace
GPA 3.88

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This is the study guide for the FINAL exam that is on 5/10/16. Definitions will not be on this exam. I have included all the notes from all of the weeks and corrected some of the mistakes. There is...
COURSE
Finite Mathematics
PROF.
Ralph Selig
TYPE
Study Guide
PAGES
34
WORDS
CONCEPTS
Math104, Math, Statistics, probabality, Matrices, final
KARMA
50 ?

## Popular in Mathematics (M)

This 34 page Study Guide was uploaded by Sabrina Shen on Thursday May 5, 2016. The Study Guide belongs to MAT104 at Pace University taught by Ralph Selig in Spring 2016. Since its upload, it has received 31 views. For similar materials see Finite Mathematics in Mathematics (M) at Pace University.

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Date Created: 05/05/16
MAT 104 FINAL STUDY GUIDE ­ Complete this practice exam then compare your answers with the answer key.  1. Graph this linear equation: 3x + 4y = 24 3 5 2. Graph this linear equati4n: 2 y= 8 3. Find the equation of the line that passes through (4, 3) and (­2, 7). 4. Solve this system of simultaneous equations using the addition method. 2x + 5y = 3 2 x + 4y = 2 5. Solve this system of simultaneous equations using row operations (matrix technique). 9x + 4y = 12 x + 7y = 2 3 2 10 7 A =  [ ] B =  [ ] 4 8 1 5 6. Find: a. A + B b. A – B c. A x B d. B t 7. Solve this system of simultaneous equations using row operations (matrix technique). x + y + z = 15 2x + y – z = ­5 9x – y – 4z = 1 A =  3 2 4 8 8. Find the inverse of Matrix A. 9. A box contains 3 different colored pens. (Black, Green, and Red) a. Draw a tree diagram of all possible outcomes if 2 are taken out with replacement. b. Draw a tree diagram of all possible outcomes if 2 are taken out without replacement. 10. 15 students from Metropolis High are competing in a spelling bee. Assuming that there  are no ties, how many ways can these students place first, second, and third? 11. Metropolis High wants its students to pick 3 electives to take for the next semester. The  high school offers a total of 9 electives. How many different ways can this selection be  made? 12. Metropolis High has a unique ID number for each of its students. The ID numbers  consists of 4 numbers, the first number is either 0 or 1, and the second number is never 0.  How many different ID numbers are possible? 13. The battery on a computer, on average, last for 12 hours with a standard deviation of 2.5  hours. Determine the following probabilities. a. 12≤ p x ≤14 b. p x ≤11 c. 10.5≤ p(x)≤13 14. Calculate the standard deviation: 15, 25, 35, 40, 55 Formula:  ∑ (x−μ)2      μ=¿ xx √ n−1 15. A coin is flipped five times. What is the probability of getting exactly 4 heads?  16. Two coins are flipped at the same time. a. What is the probability that both coins land on heads? b. What is the probability that both coins land on tails? c. What is the probability that one coin lands on tails and the other lands on heads? 17. \$100 is invested with an interest rate of 1.5% for 7 years. How much money will you  have after the 7 years if it was compounded semiannually? 18. Given that the Universal set U = {10, 15, 20, 25, 30, 35, 45, 50}, A = {10, 15, 20, 25},  B = {20, 25, 30, 35, 50}, C = {30, 35, 45, 50}, list the following sets. a. A u C b. A n B c. A u B d. A u B u C e. (A u B) n C f. A 19. 70 students were surveyed and given three choices: black pen, green pen, or red pen. 50 liked black pens, 35 liked green pens, and 20 liked red pens, 18 liked black and green  pens, 15 liked black and red pens, 9 liked green and red pens, and 4 liked all three. Draw  out the Venn diagram.  a. How many students liked exactly 2 kinds of pens? b. How many students liked none of the pens? c. How many students liked just black pens and not green or red pens?

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