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What is the decimal equivalent of 7/25?
- A. 0.28
- B. 3.4
- C. 0.18
- D. 3.57
Correct Answer: A
Rationale: To convert a fraction to a decimal, divide the numerator by the denominator. For 7/25, the calculation would be 7 · 25 = 0.28. Therefore, the decimal equivalent of 7/25 is 0.28. This process involves dividing the numerator by the denominator to represent the fraction as a decimal number.
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What is the mean of the test scores listed below? 100, 78, 47, 84, 93, 78
- A. 80
- B. 78
- C. 81
- D. 96
Correct Answer: A
Rationale: To find the mean of a set of numbers, you need to sum all the numbers together and then divide by the total count of numbers. In this case, the sum of the test scores is 100 + 78 + 47 + 84 + 93 + 78 = 480. Since there are 6 test scores in total, you divide the sum by 6 to get the mean. Therefore, the mean = 480 · 6 = 80. Hence, the correct answer is A, which is 80. It represents the average test score among the provided values.
What length of plastic barrier is needed to enclose a circular flower bed with a 5-foot diameter? Use π = 3.14.
- A. 19.625 feet
- B. 15.7 feet
- C. 31.4 feet
- D. 7.85 feet
Correct Answer: B
Rationale: To calculate the length of the plastic barrier needed to enclose a circular flower bed, you must find the circumference (C) using the formula C = π * d, where d is the diameter. Substituting the values, C = 3.14 * 5 = 15.7 feet. Therefore, 15.7 feet of plastic barrier is required to enclose the flower bed. The correct answer is B, '15.7 feet,' as it corresponds to the calculated circumference of the circular flower bed.
A macaroni and cheese recipe calls for 1/2 cup of flour for every 1 cup of milk. To make a bigger batch, the chef uses 2 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?
- A. 2 2/5 cups
- B. 4 cups
- C. 3 8/15 cups
- D. 6 cups
Correct Answer: B
Rationale: To determine the amount of milk needed for 2 cups of flour, set up the proportion: 1 cup of milk / 1/2 cup of flour = x / 2 cups of flour. Cross multiply to get 2 cups of milk = 1 cup of flour * 2 cups of flour. Therefore, x = 4 cups of milk. The chef would need 4 cups of milk for the larger batch.
What is the most likely weight of a pencil?
- A. 25 mg
- B. 25 g
- C. 25 kg
- D. 25 cm
Correct Answer: B
Rationale: The weight of a pencil is typically measured in grams. Milligrams (mg) and kilograms (kg) are not commonly used units to measure the weight of a pencil. Centimeters (cm) are a unit of length, not weight. Therefore, 25g is the most appropriate measurement for the weight of a pencil.
How should the frequency for each day of the week that students get up after 8 a.m. be best displayed from a class survey?
- A. Bar graph
- B. Scatter plot
- C. Histogram
- D. Pie chart
Correct Answer: A
Rationale: A bar graph is the most appropriate way to display the frequency of students getting up after 8 a.m. on each day of the week. Bar graphs are well-suited for comparing discrete categories, making them ideal for showing the frequency distribution of responses for each day. Each day of the week can be represented on the x-axis, and the frequency of students getting up after 8 a.m. on the y-axis. This allows for a clear visual comparison between the days, making it easy to see which days have a higher frequency of students waking up after 8 a.m. In this case, a bar graph is preferred over other options like scatter plots, histograms, or pie charts, as it provides a simple and effective way to visualize and compare the data across different days of the week.