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Final Exam - Quantitative Skills and Reason with Answer Key | MATH 1001, Exams of Quantitative Techniques

Gordon CollegeQuantitative Techniques
Prof. John C. George

Material Type: Exam; Professor: George; Class: Quantitative Skills & Reason; Subject: Mathematics; University: Gordon College; Term: Unknown 1989;

Typology: Exams

Pre 2010

Uploaded on 08/04/2009

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FINAL EXAM REVIEW
MATH 1001
1. Identify the fallacy in the given arguments.
(a) You should brush your teeth every day because brushing your teeth is very important.
(b) Buy this television—it’s the most popular brand!
(c) Dad: “If you want to do well in life, you should do well in school”
Son: “Oh yeah? Well, Mom tells me your grades weren’t very good either.”
(d) Bob is not a Republican, so he must be a Democrat.
2. Draw a Venn diagram representing each of the categorical propositions below.
(a) No birds are four-legged creatures.
(b) Some mammals are four-legged creatures.
(c) All pigs are four-legged creatures.
(d) Some mammals are not four-legged creatures.
3. Rephrase the following statements in the form “if p, then q.”
(a) Attending practice is necessary for staying on the team.
(b) I am in California if I am in Los Angeles.
(c) Showing up at the party is sufficient to get a door prize.
4. Describe how you would structure a key word search to find the information given.
(a) Articles about tornadoes in Idaho
(b) Articles that mention either wars or natural disasters (or both) that involved Belgium
(c) Articles about George Bush’s inauguration
(d) Articles about how World War II affected feminism in either the United States or
Japan (or both)
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pf4
pf5

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Download Final Exam - Quantitative Skills and Reason with Answer Key | MATH 1001 and more Exams Quantitative Techniques in PDF only on Docsity!

FINAL EXAM REVIEW

MATH 1001

  1. Identify the fallacy in the given arguments. (a) You should brush your teeth every day because brushing your teeth is very important. (b) Buy this television—it’s the most popular brand! (c) Dad: “If you want to do well in life, you should do well in school” Son: “Oh yeah? Well, Mom tells me your grades weren’t very good either.” (d) Bob is not a Republican, so he must be a Democrat.
  2. Draw a Venn diagram representing each of the categorical propositions below. (a) No birds are four-legged creatures. (b) Some mammals are four-legged creatures. (c) All pigs are four-legged creatures. (d) Some mammals are not four-legged creatures.
  3. Rephrase the following statements in the form “if p , then q .” (a) Attending practice is necessary for staying on the team. (b) I am in California if I am in Los Angeles. (c) Showing up at the party is sufficient to get a door prize.
  4. Describe how you would structure a key word search to find the information given. (a) Articles about tornadoes in Idaho (b) Articles that mention either wars or natural disasters (or both) that involved Belgium (c) Articles about George Bush’s inauguration (d) Articles about how World War II affected feminism in either the United States or Japan (or both)
  1. Identify the simplest set of numbers that describes the given number. (a) 11 (b) − (c) 2/ (d) 11. (e) (^11)
  2. Complete the probability distribution below and use it to answer the questions. Number of Girls Probability 4 0. 3 0. 2? 1 0. 0 0. (a) What is the probability of exactly two girls? (b) What is the probability of getting 0, 1, or 2 girls?
  3. Suppose $3,500 is deposited in the bank at an APR of 4.3% for 7 years. (a) Find the accumulated balance if the interest is compounded annually. (b) Find the accumulated balance if the interest is compounded quarterly. (c) Find the accumulated balance if the interest is compounded monthly. (d) Find the accumulated balance if the interest is compounded daily. (e) Find the accumulated balance if the interest is compounded continuously.
  1. Which type of correlation do the following have? (a) The age of a computer and its value. (b) Height and body temperature of adults. (c) The unemployment rate and the number of homeless people. (d) Time spent walking and distance walked (e) Hours of exercise per week and blood pressure.
  2. The box plot for the test scores of 32 students is given below. Use it to answer the following questions. (a) How many students made above 75? (b) How many students made below 91? (c) How many students made below 59? (d) How many students made between 59 and 91? (e) How many students made between 59 and 75? 13 What is the probability that a family that has four children does not have four children of the same gender? Assume that boys and girls are equally likely.
  3. (a) Find the odds for getting three tails when three fair coins are tossed. (b) Find the odds for getting a four when a pair of fair dice are tossed.
  4. Determine whether the growth (or decay) is linear or exponential, and answer the question. (a) The population of Scoville is increasing at a rate of 310 people per year. If the population is 609 today, what will it be in three years? (b) The population of Oak Forest is increasing at a rate of 2% per year. If the population is 25,655 today, what will it be in three years? (c) The value of your car is decreasing by 11% per year. If the car is worth 8176 today, what will it be worth in two years? (d) The price of a gallon of gasoline is decreasing by 8¢ per week. If the price is $2. per gallon today, what will it be in ten weeks?
  1. The doubling time of a city's population is 11 years. How long does it take for the population to quadruple?
  2. The following table gives the birth and death rates for four towns in three different years. Find Littleton’s net growth rate due to births and deaths in 1980, 1990, and 2000. Birth Rate (per 100) Death Rate (per 100) Town 1980 1990 2000 1980 1990 2000 Simpleton 1.9 1.5 0.9 1.2 1.2 0. Normalton 2.8 2.4 2.1 0.7 0.6 0. Ruralton 1.3 1.2 1.2 1.1 1.0 0. Littleton 1.4 1.6 1.5 0.9 0.8 0.
  3. In the town of Oak Forest, a 2% local sales tax and a 4% state sales tax are charged on all retail sales. Let p be the before-tax amount of a purchase in dollars. Let T be the after-tax amount of the purchase. Find a linear equation that describes how T varies with p. What is the total price of an item that costs $63 before taxes?
  4. Use the Venn diagram, which describes the types of cookies in a bakery, to answer the following questions. Cookies Chocolate Chip 15 10 Walnut 13 7 (a) How many of the chocolate chip cookies do not also have walnuts? (b) How many cookies have neither chocolate chips nor walnuts? (c) How many cookies do not have walnuts?

(d) strong positive correlation (e) weak negative correlation

  1. (a) 16 students (b) 24 students (c) 8 students (d) 16 students (e) 8 students
  2. 8 7
  3. (a) 1 to 7 (b) 1 to 11 linear; 1539 people exponential; 27,225 people exponential; $6476. linear; $1. 22 years 0.5 people per 100 0.8 people per 100 0.8 people per 100 = 1.06 p ; $66. 15 cookies 7 cookies 22 cookies = 2.532 t^2 + 45.431 t + 770. $ SSE = 3234. average error = 25.