Study guides, Class notes & Summaries

C. Each student in a room is a sophomore, a junior, or a senior. Each of these students has exactly one of the categorizations of sophomore, junior, and senior. How many students in the room are seniors? STATEMENT 1: There are a total of 36 students in the room, of which 1/3 are sophomores. STATEMENT 2: There are 14 juniors in the room. A. Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not. B. Statement (2) BY ITSELF is sufficient to answer the...

Common Factors Break down both numbers to their prime factors to see what factors they have in common. Multiply all combinations of shared prime factors to find all common factors. Gross Profit Gross profit = Selling Price - Cost Combined Events For events E and F: • not E = P(not E) = 1 - P(E) • E or F = P(E or F) = P(E) + P(F) - P(E and F) • E and F = P(E and F) = P(E)P(F) Multiplication Principle The number of ways independent events can occur together can be determined by m...

2^2 4 1^2 1 3^2 9 4^2 16 5^2 25 6^2 36 7^2 49 8^2 64 9^2 81 10^2 100 11^2 121 12^2 144 13^2 169 14^2 196 15^2 225 25^2 625 √2 1.414 √3 1.732 √5 2.236 2^0 1 2^1 2 2^3 8 2^4 16 2^5 32 2^6 64 2^7 128 2^8 256 2^9 512 prime # 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 41, 43,47 ODD+ODD EVEN ODD+EVEN ODD + EVEN+EVEN EVEN ODD*ODD ODD* ODD*EVEN EVEN * EVEN*EVEN EVEN2 Area of a circle π * r^2 C...

Is the smallest of five consecutive integers even? (1) The product of the five integers is 0. (2) The sum of the five integers is 0. a. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. b. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. c. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. d. EACH statement ALONE is sufficient. e. Statements (1) and (2) TOGETHER are NOT SUFFICIENT b. Statement (2) A...

An argument is made up of premises (data) and a conclusion which was drawn on the basis of these premises. An argument is comprised of: Premise(s) - factual data or a given; Conclusion - statement, opinion, or judgment based on the premise(s). The conclusion may be logical (Example 1) or flawed (Example 2): 1. All cars have wheels. Therefore, John's car has wheels. Ballparking π≅3+ will become extremely useful when solving geometry questions involving circles. Replace π with ≅...

Plant scientists have been able to genetically engineer vegetable seeds to produce crops that are highly resistant to insect damage. Although these seeds currently cost more than conventional seeds, their cost is likely to decline. Moreover, farmers planting them can use far less pesticide, and most consumers prefer vegetables grown with less pesticide. Therefore, for crops for which these seeds can be developed, their use is likely to become the norm. Which of the following would be most use...

"Alexandra needs to mix cleaning solution in the following ratio: 1 part bleach for every 4 parts water. When mixing the solution, Alexandra makes a mistake and mixes in half as much bleach as she ought to have. The total solution consists of 27 mL. How much bleach did Alexandra put into the solution? " 3 ml "What is the cube root of w ? (1) The 5th root of w is 64. (2) The 15th root of w is 4." D x^y=y^x, where x is prime and y is even If Y is even, Y^x must be even as well. It mu...

Unlike most other mergers in the utility industry, which have been driven by the need to save money and extend companies' service areas, the merger of the nation's leading gas [and electric company is intended to create a huge marketing network for the utilities in question with states opening] their utility markets to competition. E) company and leading electric company is intended to create a huge network for marketing the utilities in question as states open TrueSave's shipping manager ...

4^x + 4^-x = 2 To get reciprocals to equal 2, both must be 1, so x = 0 Point Q lies in the interior of a particular circle. Is point Q the center of the circle? (1) There exist points A, B, and C, all distinct points on the circle's circumference, such that the distances QA, QB, and QC are identical. Yes Point Q lies in the interior of a particular circle. Is point Q the center of the circle? (2) At least two different diameters of the circle contain point Q. Yes, All diameters of...

Perfect Squares 1 - 15 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225 Perfect Cubes 1 - 15 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, 1331, 1728, 2197, 2744, 3375 2³ 8 2⁴ 16 2⁵ 32 2⁶ 64 2⁷ 128 2⁸ 256 2⁹ 512 2¹⁰ 1024 3³ 27 3⁴ 81 3⁵ 243 3⁶ 729 3⁷ 2187 4³ 64 4⁴ 256 4⁵ 1024