Two expressions with bark

In English, dogs bark. Sometimes they bark a lot. Does the sound of barking bother you? It drives me pretty crazy. Especially when someone ties the dog up outside in front of my building, and leaves the dog barking. Not appreciated! But on to the expressions...
We have two key expressions with bark. The first one is: to bark up the wrong tree. This means to be mistaken about something, to have the wrong idea. For example: the police were barking up the wrong tree investigating Mary; she was out of the country when the crime was committed.
The second expression is: his/her bark is worse than her bite. This means that the person seems angrier or meaner than he or she really is. For example: "Don't be afraid of Jimmy! His bark is worse than his bite."