Final answer:
The purpose of a specialized school open to all students in a district on a competitive or lottery basis is all of the above. These schools provide unique educational specialties, draw children away from segregated neighborhood schools, and promote science, math, and the performing arts.
Step-by-step explanation:
The purpose of a specialized school open to all students in a district on a competitive or lottery basis is all of the above. These schools are designed to provide unique educational specialties, draw children away from segregated neighborhood schools, and promote subjects such as science, math, and the performing arts. The idea behind these schools is to offer more choices and opportunities to students and parents, allowing them to tailor their education to their interests and needs.