Minneapolis has had the "Shot-spotter" system for about ten years. They have dozens of installations and can dispatch a patrol to a hotspot in seconds. One of the facilities I used to manage for the County was Detox at 1800 Chicago Avenue, it had one of the first of these systems installed. At that time, we were ordered not to talk about it.
A lot has changed since then. With so many sites, the triangulation is now excellent - they can tell when the shot originated within about 100 feet.
Whether they dispatch a patrol depends on what part of the city you live in. There are some ares where gunshots are so common as to be ridiculous.
Glad I'm retired!