Final answer:
The four responsibilities under the core Readiness competency for SGT/CPL are training proficiency, equipment maintenance, casualty care, and accountability.
Step-by-step explanation:
The four responsibilities that fall under the core Readiness competency for SGT/CPL are Training proficiency, equipment maintenance, casualty care, and accountability.
Training proficiency involves being skilled and knowledgeable in one's designated role and being able to perform tasks effectively. Equipment maintenance refers to the ability to properly care for and maintain military equipment to ensure its functionality. Casualty care involves being trained in first aid and being able to provide medical assistance to injured individuals. Accountability refers to the responsibility of ensuring that all personnel and equipment are present and accounted for.