Nokea
A student lives 23.2 miles from the local community college. Which of the following distances in kilometers does the student travel to go to class? (Round to the nearest tenth.) Note: 1 km = 0.62 mi
- A. 37.4 km
- B. 14.4 km
- C. 61.1 km
- D. 23.6 km
Correct Answer: A
Rationale: To convert miles to kilometers, use the formula: kilometers = miles ÷ 0.62. Thus, 23.2 mi ÷ 0.62 ? 37.419 km, rounded to 37.4 km.
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What is the median of the following set of data: 5, -3, 10, -2, 0?
- A. 10
- B. 5
- C. -2
Correct Answer: D
Rationale: To find the median, we first need to arrange the data in ascending order: -3, -2, 0, 5, 10. Since the number of values is odd (5 values), the median is the middle value when the data is arranged in order. In this case, the middle value is 0. Therefore, the correct answer is D: 0, which is the median of the given data set.
What is the equivalent weight of 50 kg in pounds (1 kg = 2.2 lb)?
- A. 110 lb
- B. 220 lb
- C. 52.2 lb
- D. 22.7 lb
Correct Answer: A
Rationale: To convert 50 kg to pounds, we need to multiply by the conversion factor 2.2 lb/kg. Therefore, 50 kg * 2.2 lb/kg = 110 lb. The correct answer is A, which is 110 lb. The provided conversion factor (1 kg = 2.2 lb) is used to convert kilograms to pounds. By multiplying 50 kg by the conversion factor, we get the equivalent weight in pounds, which is 110 lb.
2.50 × 0.25 Simplify the expression above. Which of the following is correct?
- A. 6.25
- B. 0.0625
- C. 6.025
- D. 0.625
Correct Answer: D
Rationale: Multiplying 2.50 by 0.25 gives 0.625.
A farmer grows apple, orange, lemon, banana, and pear trees. The number of trees planted this year is shown in the table above. Which of the following would best display the data?
- A. Bar graph
- B. Scatter plot
- C. Stem-and-leaf plot
- D. Line graph
Correct Answer: A
Rationale: A bar graph is the most appropriate way to display categorical data like the number of each type of tree planted by the farmer. In a bar graph, each type of tree can be represented by a separate bar, allowing for easy visual comparison of the quantities. Scatter plots are used to illustrate relationships between two sets of data, which is not the case here. Stem-and-leaf plots are more suitable for displaying numerical data in a grouped format, not categorical data like types of trees. Line graphs are typically used to portray trends or changes over time, making them less suitable for this scenario.
Four friends are sharing a pizza. One friend eats half of the pizza. The other three friends equally divide the rest among themselves. What portion of the pizza did each of the other three friends receive?
- A. 1/6
- B. 1/4
- C. 1/3
- D. 1/6
Correct Answer: D
Rationale: After one friend eats half of the pizza, half of the pizza remains to be divided among the other three friends. Dividing this remaining half equally among three friends means each friend receives 1/6 of the pizza (1/2 · 3 = 1/6). Therefore, each of the other three friends receives 1/6 of the pizza.