Huh? I answered every single question I was asked, pretty much.
I disconnected and then reconnected the mouse, didn't work, I have a brand new battery in it, still doesn't work, I restarted my computer and reconnected the mouse, still doesn't work. The type of mouse I have is the Microsoft Wireless Notebook Optical Mouse 4000. I don't know what BT and RF are, and I'm using Mac OS X Snow Leopard on a Macbook Pro 13.3 inch 2.3 Ghz i5.
What else do you need? I will gladly answer it. No need to be rude.