Final answer:
The regulatory agency responsible for county jails and privately-operated municipal jails in a state is generally called the state's Department of Corrections or a similar body within the corrections system.
Step-by-step explanation:
The regulatory agency for all county jails and privately-operated municipal jails in a state is typically known as the state's Department of Corrections or a similar entity, depending on the state. This agency is part of the corrections system, which is tasked with supervising individuals who have been arrested for, convicted of, or sentenced for criminal offenses. Specific responsibilities of this regulatory agency often include oversight of the conditions in jails, management of inmate care, and ensuring the enforcement of state standards within these facilities.
In addition to the Department of Corrections, other frameworks of local government such as charter, commission system, council-administrator system, and council-elected executive system might play various roles in the broader governance of county facilities, including jails, but are not directly responsible for jail regulation.