Final answer:
To determine the correctness of a ratio table for 5:3, the entries must maintain the ratio, such as (5, 3), (10, 6), (15, 9), etc. Relative frequency is used to calculate the fraction of people commuting certain distances, but an accurate evaluation requires specific data from the survey in question. For proportions, consistent unit scaling is key.
Step-by-step explanation:
To evaluate whether the ratio table for 5:3 created by your friend is correct, we would need to see the specific entries in the table. Generally, a ratio table is a way of listing pairs of numbers that have the same ratio. If the table correctly represents multiples of 5 and 3 while maintaining the ratio, then the table would be correct. Without seeing the table, we can only say that the table should contain pairs like (5, 3), (10, 6), (15, 9), etc.
Regarding the proportion of people commuting various distances, if we interpret "relative frequency" from the provided data, we can say:
- True or False: Three percent of the people surveyed commute three miles. The statement is false because we would need to know the specific context or data from which the 3% is derived.
- The fraction of people commuting five or seven miles can be found by adding the corresponding relative frequencies if available, i.e., 5/100 + 7/100 = 0.12 or 12/100.
- For the fraction of people commuting 12 miles or more, less than 12 miles, or between five and thirteen miles (exclusive), one would need to sum the relative frequencies corresponding to those distances.
When handling proportions and ratios, it's important to align units and keep consistent scaling factors, as suggested by the examples provided.