Final answer:
A female German roach has 6-8 egg sacs in her lifetime, each containing about 30-40 eggs, and carries them until the eggs are ready to hatch.
Step-by-step explanation:
The statement that is true about German roaches is that a female German roach has 6-8 egg sacs, also known as oothecae, in her lifetime. These oothecae can contain approximately 30 to 40 eggs each, and the female carries the sac around with her until just before the nymphs are ready to hatch. German roaches do not fasten eggs in cabinets or attach them in corners but are known for their high reproductive rate, which contributes to their status as common pests.