How to use "believing" in a sentence

Little Red Riding Hood, hearing the big voice of the wolf, was at first afraid; but believing her grandmother had a cold and was hoarse, answered, "It is your grandchild Little Red Riding Hood, who has brought you a cake and a little pot of butter mother sends you."

If I see many more inanimate objects dancing around, I'm going to start believing in everything, no matter how freaky."

Apparently, Billy liked his view of the world to be as neat and uncluttered as everything else about him; if he started believing in ghosts, he'd have to reconsider his opinions about a lot of other things too, and then life would become intolerably messy.

They'll have enough trouble believing that I did it alone..

I stared around, hardly believing my eyes