Final answer:
The best estimate for the roly poly population on Anthony's parents' property is 980.
Step-by-step explanation:
Using the mark and recapture method, we can estimate the population of armadillidiidae bugs on Anthony's parents' property. Anthony initially captured and marked 38 roly polies, and later recaptured 19 of them out of a total of 490 roly polies caught. We can use the formula (Total population size = (Number marked in first capture * Total population size in second capture) / Number marked in second capture) to estimate the population. Plugging in the values, we get (38 * 490) / 19 = 980. Therefore, the best estimate for the roly poly population on Anthony's parents' property is 980, rounded to the nearest whole number.