Broadcasts are just that -- messages broadcast to anyone listening. They are inherently insecure, and delivery to the intended recipient isn't guaranteed, because there really isn't an intended recipient. For example, the CONNECTIVITY_CHANGE broadcast makes this quite clear: When connectivity changes in an Android device, many apps might be interested. Rather than the ConnectivityManager having to notify each app via specific Intent, it sends a broadcast. Any app that has registered interest in this event will be notified. Any app that isn't running or doesn't care... won't.
An Intent is "sent" when one app or Activity wants to launch another to do something very specific. For example, a file-manager might want to launch an image viewer or video player. Your app might want to launch a very specific Activity within another one of your apps, etc. The communication by specific intents (i.e. including package name and component name) can not easily be intercepted, so it's somewhat more secure. Most importantly, there's only and exactly one "receiver" -- if none can be found, the Intent will fail.
Further, a BroacastReceiver will be active within an Activity or Service and received broadcasts will generally only change state and/or do minor UI updates... for example, you might disable a few actions if your internet connectivity is dropped. By comparison, a specific Intent will usually launch a new Activity or bring an existing one to the foreground.