What is the average number of heartbeats per second?
2/3 beat per second
2 beats per second
1 1/2 beats per second
3 beats per second
The average number of heartbeats per second is 1 1/2 beats per second.
To calculate the average number of heartbeats per second, we need to sum up the individual rates and then divide by the number of rates provided. Let's calculate it step by step:
First, we add up all the rates:
2/3 + 2 + 1 1/2 + 3
To add fractions like 2/3 and 1 1/2, we need to find a common denominator. In this case, the common denominator is 6. We can convert 2/3 to 4/6 and 1 1/2 to 3/2 (by multiplying the whole number, 1, by the denominator, 2, and adding the numerator, 1).
So now, the equation becomes:
4/6 + 2 + 3/2 + 3
To add the fractions with different denominators, we need to find a common denominator. In this case, the common denominator is again 6.
Now, let's rewrite the equation with a common denominator:
4/6 + 2 * 6/6 + 3/2 * 3/3 + 3 * 6/6
This simplifies to:
4/6 + 12/6 + 9/6 + 18/6
To add the fractions together, we add the numerators (4 + 12 + 9 + 18) while keeping the denominator the same (6). The resulting fraction is:
43/6
Now, to find the average, we divide this sum by the total number of rates provided (4):
43/6 divided by 4
To divide by a fraction, we flip the second fraction and multiply:
43/6 * 1/4
Multiplying the numerators (43 * 1) and the denominators (6 * 4), we get:
43/24
So, the average number of heartbeats per second (in terms of a fraction) is 43/24.
To find the average number of heartbeats per second, you need to add up the number of beats per second for each scenario and divide it by the total number of scenarios.
So, let's calculate:
Scenario 1: 2/3 beat per second
Scenario 2: 2 beats per second
Scenario 3: 1 1/2 beats per second (which is equivalent to 3/2 beats per second)
Scenario 4: 3 beats per second
Adding up the number of beats per second:
2/3 + 2 + 3/2 + 3
Now, let's calculate the sum:
2/3 + 2 + 3/2 + 3 = 2/3 + 6/3 + 9/6 + 18/6 = (2 + 6 + 9 + 18)/6 = 35/6
To find the average, we divide the sum by the total number of scenarios:
35/6 / 4 = 35/6 * 1/4 = 35/24 ≈ 1.46
Therefore, the average number of heartbeats per second is approximately 1.46.