Nokea
What percentage of the total rainfall in this timeframe occurs during October?
- A. 0.135
- B. 0.151
- C. 0.169
- D. 0.177
Correct Answer: B
Rationale: To calculate the percentage of rainfall that occurs during October, divide October's rainfall (4.5 inches) by the total rainfall (29.38 inches) and multiply by 100. So, (4.5 / 29.38) * 100 = 15.31%. Among the choices given, option B, 0.151, is the closest to this calculated percentage. Options A, C, and D are not correct as they do not match the accurate calculation based on the provided data.
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Which of the following best describes the relationship in this set of data?
- A. High positive correlation
- B. Low positive correlation
- C. Low negative correlation
- D. No correlation
Correct Answer: B
Rationale: The correct answer is 'B: Low positive correlation.' In a low positive correlation, the variables tend to increase together, but the relationship is not strong. This description fits the data set provided. Choice A, 'High positive correlation,' is incorrect because the correlation is not strong. Choice C, 'Low negative correlation,' is incorrect as the variables are not decreasing together. Choice D, 'No correlation,' is incorrect because there is a relationship between the variables, albeit weak.
Which of the following best describes the data represented by this scatterplot?
- A. This is a linear association with a positive correlation.
- B. This is a linear association with a negative correlation.
- C. This is a nonlinear association.
- D. There is no association.
Correct Answer: A
Rationale: The correct answer is A. The scatterplot depicts a clear linear association with a positive correlation between the two variables. Choice B is incorrect as the correlation is positive, not negative. Choice C is incorrect because the scatterplot does not show a nonlinear association. Choice D is incorrect as there is a distinguishable association present in the data.
If 9.5% of a town's population of 51,623 people voted for a proposition, approximately how many people voted for the proposition?
- A. 3000
- B. 5000
- C. 7000
- D. 10000
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: 51,623 * 9.5% = 51,623 * 0.095 ≈ 4,904. Therefore, approximately 5,000 people voted for the proposition. Choice A (3000), C (7000), and D (10000) are incorrect because they do not accurately represent 9.5% of the town's population.
How can you visually differentiate between a histogram and a bar graph?
- A. A bar graph has gaps between the bars; a histogram does not
- B. A bar graph displays frequency; a histogram does not
- C. A histogram illustrates comparison; a bar graph does not
- D. A bar graph includes labels; a histogram does not
Correct Answer: A
Rationale: The key difference between a histogram and a bar graph is that a bar graph has gaps between the bars, while a histogram does not. This feature helps in visually distinguishing between the two. Choice B is incorrect because both types of graphs can show frequency. Choice C is incorrect as both graphs can be used for comparison. Choice D is incorrect as both types of graphs can have labels for better understanding.
A patient requires a 30% decrease in the dosage of their medication. Their current dosage is 340 mg. What will their dosage be after the decrease?
- A. 70 mg
- B. 238 mg
- C. 270 mg
- D. 340 mg
Correct Answer: B
Rationale: To calculate a 30% decrease in 340 mg, you multiply 340 by 0.3, which equals 102 mg. Subtracting this from the current dosage gives 340 - 102 = 238 mg. Therefore, the correct answer is 238 mg. Choice A (70 mg) is incorrect because it represents a 70% decrease, not 30%. Choice C (270 mg) is incorrect as it does not reflect the correct calculation for a 30% decrease. Choice D (340 mg) is the initial dosage and not the reduced dosage after a 30% decrease.