Answer Look on the horizontal axis to find 3:00 p.m. Move up from the 3:00 p.m. to reach the dot on the graph. Move directly left to the vertical axis between 20 and 25; the best answer choice is 22. The answer of 25 is too high above the projected time on the graph, and … Read more

Answer 7,893,600 possible combinations The longest side of a right triangle, called the hypotenuse, \(H\), can be calculated using the Pythagorean theorem, together with the lengths of the other two sides, which are given as 6 and 8 units.   \(H^{2}=\left(S_{1}\right)^{2}+\left(S_{2}\right)^{2}\) \(H^{2}=6^{2}+8^{2}\) \(H^{2}=36+64\) \(H^{2}=100\) \(\sqrt{H^{2}}=\sqrt{100}\) \(H=10\)   Therefore, using \(H=10\), the perimeter, \(P\), can be … Read more

Answer Voiced Espoused One can infer from the sentence that theories were brought up or adopted by speakers. Both choices D and F, voiced and espoused, mean to support and bring up. Choices A, B, and E are incorrect because controverted, undisclosed, and suppressed relate to denying something or keeping it secret, both of which … Read more

Answer 0.333 There are six outcomes on a six-sided die. There are two desired outcomes. Therefore, the probability is \(\frac{2}{6}=\frac{1}{3}=0.333.\) Review the question + A fair, six-sided die is rolled once. What is the probability of it landing on a 1 or a 3? Round your answer to three decimal places. 0.333 0.033 0.598 0.167 … Read more

Answer Lethargic Listless The sentence describes a coach lambasting his team, so it can be inferred that the coach is upset by their performance.   Lethargic and listless both denote a state of low energy or enthusiasm. If the team performed lethargically or listlessly, it makes sense that the coach is upset.   Errant describes … Read more

Answer 1 We can solve this algebraically. Let \(q\) represent the number of quizzes she had taken previously. Therefore, from the definition of average: \(96=\frac{93q+99}{q+1}\) Solving this, we obtain \(96\left(q+1\right)=93q+99.\) This has a solution of \(q=1,\) so there was one quiz prior to yesterday’s quiz. Review the question + A student had an average of … Read more

Answer Cartography Topographical The contextual clues of the sentence reveal that we’re looking for words that are related to maps, so when considering Blank (i), we’d look at the skill or art of mapmaking, which is called cartography. Similarly, for Blank (ii), we’d be looking for a kind of map that would make sense to … Read more

Answer 60 The number 12 factored into primes is \(2\times 2\times 3\), and 15 factored into primes is \(5\times 3\). Therefore, the integer is divisible by 60, which is \(2\times 2\times 3\times 5\). Review the question + If an integer is divisible by both 12 and 15, then the integer must also be divisible by … Read more

Answer Deemed Superfluous The word although suggests a contrast between Blank (ii) and the positive description that follows, so it may be easier to start there. Superfluous means unnecessary and extra, which does contrast with “the human experience.” Critical, meaning important, does not. Preposterous means utterly absurd and is probably too strong a word for … Read more

Answer 34.286 If each number is multiplied by 4, the new grocery bag amounts are: 44, 20, 24, 36, 48, 40, and 28. The sum of these values is 240. Dividing by 7 results in the average, 34.286. Alternatively, find the average of the original values and multiply that by 4. Review the question + … Read more