Nokea
In the town of Ellsford, there are approximately 1,450 residents who attend church weekly. If around 400 of them attend Catholic Churches, what percentage of churchgoers in Ellsford attends Catholic Churches?
- A. 23%
- B. 28%
- C. 36%
- D. 42%
Correct Answer: B
Rationale: To find the percentage of churchgoers who attend Catholic Churches, divide the number of Catholic churchgoers by the total number of churchgoers and then multiply by 100.
(400 · 1,450) 100 ≈ 27.59%, which rounds to 28%.
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In a study measuring the average hours worked per week by different types of hospital staff (such as nurses and physicians), what are the dependent and independent variables?
- A. The dependent variable is Nurses. The independent variable is Physicians.
- B. The dependent variable is Physicians. The independent variable is Nurses.
- C. The dependent variable is Hospital Staff. The independent variable is Average hours worked per week.
- D. The dependent variable is Average hours worked per week. The independent variable is Hospital Staff.
Correct Answer: D
Rationale: In this study, the dependent variable is the 'Average hours worked per week,' as it relies on the different types of 'Hospital Staff' (the independent variable). The amount of time worked per week varies based on the category of staff being considered. Therefore, the correct choice is D. Choices A and B incorrectly assign the dependent and independent variables to specific staff categories (Nurses and Physicians), which are actually different elements within the study. Choice C incorrectly defines the dependent variable as 'Hospital Staff,' when in fact, it is the 'Average hours worked per week' that is dependent on the type of staff.
In a research study, a researcher collects data on the number of hours spent studying and the grades students received. Which of the following is the dependent variable?
- A. The number of hours spent studying
- B. The grades students received
- C. The subjects students studied
- D. The number of students in the study
Correct Answer: B
Rationale: The correct answer is B: 'The grades students received.' In this scenario, the grades students received are the dependent variable because they are influenced by the number of hours spent studying. The grades are the outcome that is being measured based on the manipulation or observation of the independent variable, which in this case is the number of hours spent studying. Choices A, C, and D are incorrect. The number of hours spent studying is the independent variable being manipulated or observed, the subjects students studied is not directly related to the dependent variable, and the number of students in the study is not the variable being measured or influenced by the independent variable.
Joshua has to earn more than 92 points on a state test to qualify for a scholarship. Each question is worth 4 points, and the test has 30 questions. Which inequality can be solved to determine the number of questions Joshua must answer correctly?
- A. 4x < 30
- B. 4x < 92
- C. 4x > 30
- D. 4x > 92
Correct Answer: D
Rationale: Joshua must answer more than 92 points' worth of questions. Since each question is worth 4 points, the inequality is 4x > 92. Choice A (4x < 30) is incorrect as it represents that Joshua must answer less than 30 questions correctly, not earning more than 92 points. Choice B (4x < 92) is incorrect as it signifies that Joshua must earn less than 92 points, which contradicts the requirement. Choice C (4x > 30) is incorrect as it implies that Joshua must answer more than 30 questions correctly, but the threshold is 92 points, not 30 points.
Veronica has to create the holiday schedule for the neonatal unit at her hospital. 35% of her staff will be unavailable during the holidays, and of the remaining staff, only 20% are certified to work in the neonatal unit. What percentage of the total staff is certified and available to work?
- A. 7%
- B. 13%
- C. 65%
- D. 80%
Correct Answer: B
Rationale: The correct answer is 13%. To find the percentage of the total staff that is certified and available to work, we first calculate the percentage of staff available, which is 100% - 35% = 65%. Then, we find the percentage of the available staff that is certified, which is 20% of 65% = 0.20 0.65 = 0.13, or 13%.
Approximately what percentage more staff members at Hospital Y are female than at Hospital X?
- A. 5
- B. 10
- C. 15
- D. 20
Correct Answer: B
Rationale: To find the percentage more staff members at Hospital Y are female than at Hospital X, we first calculate the percentage of female staff members at each hospital. For Hospital Y: (90 / 183) x 100 ≈ 49.2%. For Hospital X: (97 / 250) x 100 ≈ 38.8%. The difference between these percentages is approximately 10%, making choice B the correct answer. Choice A, 5%, is too low as the difference is greater. Choice C, 15%, and choice D, 20%, are both too high as the actual difference is closer to 10%.