Due to the presence of the quantum correlation between the pair-produced D0 and D0bar from the decay of the psi(3770), the time-integrated single and double tag decay rates depend on charm mixing amplitudes, doubly-Cabibbo-suppressed amplitudes, and the relative strong phase, delta, between D0 and D0bar decays to identical final states. Using 281 pb^-1 of integrated luminosity collected with the CLEO-c detector on the psi(3770) resonance, we measure the absolute branching fractions of D0 decays to K-pi+, CP eigenstates, and semileptonic final states to determine cos(delta) for K-pi+ and to limit the mixing amplitude y.