Well, it really all depends on what denomination you belong to. If you follow Reform or (I think) Reconstructionist Judaism, all you need is one Jewish parent, of either gender, to be considered Jewish. In Conservative Judaism, you will be accepted in theory if your only Jewish parent is your father, but you might still run into so issues because of your non-Jewish mother. In Orthodox Judaism, you will not be accepted in the community if your mother is not Jewish. Of course, if you go through an official conversion, you will be accpeted anywhere.
Well, it really all depends on what denomination you belong to. If you follow Reform or (I think) Reconstructionist Judaism, all you need is one Jewish parent, of either gender, to be considered Jewish. In Conservative Judaism, you will be accepted in theory if your only Jewish parent is your father, but you might still run into so issues because of your non-Jewish mother. In Orthodox Judaism, you will not be accepted in the community if your mother is not Jewish. Of course, if you go through an official conversion, you will be accpeted anywhere.