Final answer:
State governments typically handle education systems and provide public aid; however, libraries are usually funded at the local level and are not considered a primary responsibility of the state government.
Step-by-step explanation:
Among the major responsibilities of state government, libraries are not usually considered one. State governments typically have key responsibilities that cover a range of functions important to the public welfare. These include managing education systems, which often encompasses funding for both K-12 public schools and state university systems, as well as providing public aid, such as health care and income support programs. While libraries are important community resources, they are often funded and operated at a local level rather than being a primary responsibility of the state.