Nokea
Two even integers and one odd integer are multiplied together. Which of the following could be their product?
- A. 3.75
- B. 9
- C. 16.2
- D. 24
Correct Answer: D
Rationale: When multiplying two even integers and one odd integer, the product will always be even. This is because multiplying any number of even integers will always result in an even number. Therefore, the only possible product from the given options is 24, as it is the only even number listed. Choices A, B, and C are incorrect as they are all odd numbers, and the product of two even integers and one odd integer will never result in an odd number.
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Approximately how many people voted for the proposition if 9.5% of the town's population of 51,623 voted for it in a municipal election?
- A. 3,000
- B. 5,000
- C. 7,000
- D. 10,000
Correct Answer: B
Rationale: To find the approximate number of people who voted for the proposition, multiply the town's population by the percentage that voted for it. 9.5% of 51,623 is about 0.095 * 51,623 ≈ 4,904. Rounded to the nearest thousand, this gives an estimate of 5,000 people. Therefore, choice B, '5,000,' is the correct answer. Choices A, C, and D are incorrect as they do not align with the calculated estimation.
Simplify the following expression: 5 x 3 · 9 x 4
- A. 5/12
- B. 8/13
- C. 20/27
- D. 47/36
Correct Answer: A
Rationale: To simplify the expression 5 x 3 · 9 x 4, first perform the multiplications and divisions from left to right: 5 x 3 = 15 and 9 x 4 = 36. So, the expression becomes 15 · 36. When dividing fractions, multiply the first fraction by the reciprocal of the second fraction. Hence, 15 · 36 = 15/36. To simplify the fraction further, find the greatest common divisor, which is 3. Divide both the numerator and denominator by 3 to get the final result: 15/36 = 5/12. Therefore, the correct answer is A. Choices B, C, and D are incorrect because they do not represent the correct simplification of the given expression.
Simplify the following expression: 1.034 + 0.275 - 1.294
- A. 0.015
- B. 0.15
- C. 1.5
- D. -0.15
Correct Answer: A
Rationale: To simplify the expression, begin by adding 1.034 and 0.275, which equals 1.309. Then, subtract 1.294 from the sum: 1.309 - 1.294 = 0.015. Therefore, the correct answer is 0.015. Choice B (0.15) is incorrect as it does not reflect the accurate calculation. Choice C (1.5) is incorrect as it is not the correct result of the expression simplification. Choice D (-0.15) is incorrect as it represents a different value than the correct outcome of the expression simplification.
Given the histograms shown below, which of the following statements is true?
- A. Group A is negatively skewed and has a mean less than Group B.
- B. Group A is positively skewed and has a mean greater than Group B.
- C. Group B is negatively skewed and has a mean greater than Group A.
- D. Group B is positively skewed and has a mean less than Group A.
Correct Answer: C
Rationale: The correct answer is C. Group B is negatively skewed, indicating more high scores, leading to a higher mean for Group B when compared to Group A. Choice A is incorrect because Group A is not negatively skewed and doesn't have a mean less than Group B. Choice B is incorrect as Group A is not positively skewed and its mean is not greater than Group B. Choice D is also incorrect because Group B having a mean less than Group A contradicts the fact that Group B has a higher mean due to being negatively skewed.
Veronica decided to celebrate her promotion by purchasing a new car. The base price for the car was $40,210. She paid an additional $3,015 for a surround sound system and $5,218 for a maintenance package. What was the total price of Veronica's new car?
- A. $50,210
- B. $48,443
- C. $43,225
- D. $40,210
Correct Answer: B
Rationale: To find the total cost of Veronica's new car, you need to sum up all her expenses. So, $40,210 (base price) + $3,015 (surround sound system) + $5,218 (maintenance package) = $48,443. Therefore, the correct answer is $48,443. Choice A ($50,210) is incorrect as it incorrectly adds the base price to the other costs. Choice C ($43,225) is incorrect as it only includes the base price and the maintenance package, omitting the cost of the surround sound system. Choice D ($40,210) is incorrect as it only includes the base price of the car and not the additional costs for the surround sound system and maintenance package.