Final answer:
To have a mean of 4 miles per day over four days, you should run 5 miles on the fourth day.
Step-by-step explanation:
To find the number of miles you should run on the fourth day, you need to calculate the total distance you need to run over the four days and then find the difference between that total and the sum of the distances you've already run.
Let's calculate the total distance:
- Add up the distances for the first three days: 2 + 4 + 5 = 11 miles.
- Multiply the mean distance per day (4 miles) by the total number of days (4): 4 * 4 = 16 miles.
To find the distance for the fourth day, subtract the total distance you've already run from the calculated total: 16 - 11 = 5 miles.
Therefore, you should run 5 miles on the fourth day to have a mean of 4 miles per day.