An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (2)
Calculate the number of vaccinated people: 2321 − 1085 = 1236 .
Calculate the number of people who tested positive: 2321 − 1371 = 950 .
Calculate the number of vaccinated and negative: 1236 − 465 = 771 .
Calculate the number of not vaccinated and positive: 950 − 465 = 485 .
Calculate the number of not vaccinated and negative: 1371 − 771 = 600 .
The two-way table is:
Positive
Negative
Total
Vaccinated
465
771
1236
Not Vaccinated
485
600
1085
Total
950
1371
2321
Explanation
Understand the problem and provided data We are given the following information:
Total number of people in the study = 2321
Number of people who did not receive a flu vaccination = 1085
Number of people who were vaccinated and tested positive for the flu = 465
Total number of participants who tested negative = 1371
Our objective is to create a two-way table showing the counts of people based on vaccination status (vaccinated vs not vaccinated) and flu test result (positive vs negative).
Calculate the number of people who were vaccinated First, let's calculate the number of people who were vaccinated. We know the total number of people and the number of people who were not vaccinated, so we can subtract to find the number of people who were vaccinated: 2321 − 1085 = 1236 So, 1236 people were vaccinated.
Calculate the number of people who tested positive Next, let's calculate the number of people who tested positive. We know the total number of people and the number of people who tested negative, so we can subtract to find the number of people who tested positive: 2321 − 1371 = 950 So, 950 people tested positive.
Calculate the number of people who were vaccinated and tested negative Now, let's calculate the number of people who were vaccinated and tested negative. We know the number of vaccinated people and the number of vaccinated people who tested positive, so we can subtract to find the number of vaccinated people who tested negative: 1236 − 465 = 771 So, 771 people were vaccinated and tested negative.
Calculate the number of people who were not vaccinated and tested positive Next, let's calculate the number of people who were not vaccinated and tested positive. We know the total number of people who tested positive and the number of vaccinated people who tested positive, so we can subtract to find the number of people who were not vaccinated and tested positive: 950 − 465 = 485 So, 485 people were not vaccinated and tested positive.
Calculate the number of people who were not vaccinated and tested negative Now, let's calculate the number of people who were not vaccinated and tested negative. We know the total number of people who tested negative and the number of vaccinated people who tested negative, so we can subtract to find the number of people who were not vaccinated and tested negative: 1371 − 771 = 600 So, 600 people were not vaccinated and tested negative.
Construct the two-way table Finally, let's construct the two-way table using the calculated values:
Positive
Negative
Total
Vaccinated
465
771
1236
Not Vaccinated
485
600
1085
Total
950
1371
2321
Examples
Two-way tables are commonly used in medical studies to analyze the relationship between different factors, such as vaccination status and disease occurrence. For example, public health officials can use this type of table to assess the effectiveness of a flu vaccine by comparing the rate of flu infection among vaccinated and unvaccinated individuals. This helps in making informed decisions about vaccination policies and strategies.
The total charge that flows through the device is 450 coulombs, which corresponds to approximately 2.81 x 10^21 electrons that flow through it in 30 seconds.
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