An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (2)
A current of 15.0 A for 30 seconds results in a total charge of 450 C . This charge corresponds to approximately 2.81 × 1 0 21 electrons flowing through the device. Thus, a vast number of electrons pass through in that time.
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Calculate the total percentage of participants taking vitamins: 27.4% + 49.5% = 76.9% .
Compare the total percentage to 50%. Since 50\%"> 76.9% > 50% , more than half of the participants take vitamins.
The student's statement is correct.
The final answer is: Yes
Explanation
Understand the problem The problem provides a two-way table showing the percentage of people who take vitamins and whether they gained weight. We need to determine if more than half of the study participants are taking vitamins.
Identify the relevant data To find the total percentage of people taking vitamins, we add the percentage of people taking one vitamin per day and the percentage of people taking more than one vitamin per day. From the table, 27.4% take one vitamin per day and 49.5% take more than one vitamin per day.
Calculate the total percentage Now, let's calculate the total percentage of people taking vitamins: 27.4 + 49.5 = 76.9 So, 76.9% of the participants take vitamins.
Compare and conclude To determine if more than half of the participants take vitamins, we compare the calculated percentage (76.9%) to 50%. Since 76.9% > 50%, more than half of the participants take vitamins. Therefore, the student's statement is correct.
Final Answer The student is correct because the total percentage of people taking vitamins is 76.9%, which is greater than 50%.
Examples
In market research, understanding the proportion of consumers using a particular product (like vitamins) can guide marketing strategies and product development. For example, if a company wants to launch a new vitamin supplement, knowing that a significant portion of the population already takes vitamins can help them tailor their marketing messages and distribution channels effectively. This type of analysis is also crucial in public health to assess the adoption of health-promoting behaviors and inform interventions.
