No, Bobbsy, those mics don't come with a cable. They are regular XLR type mics.
At jjrandall,
I can only assume that by "fuzz", you are referring to background noise or hiss. If that is the case, I would suspect that the mixer may either be noisy (crappy) or you have incorrect gain settings somewhere on the mixer. You can quickly find out by process-of-elimination. You can bypass the mixer altogether by plugging the mics straight into the zoom h4n recorder (using xlr cables,) and see if the noise goes away. If it does, then your problem is most likely in the gain settings you've chosen. (In fact, if that works fine, I'm not sure that you even need the mixer, but that is your choice.)
On the mixer, there needs to be a reasonable balance between the channel GAIN, channel LEVEL, main LEVEL knobs. First off, the channel GAIN should be thought of as a boost for a weak incoming microphone signal. It should only be turned up far enough to raise the signal to a usable level for the rest of the signal path. The idea is to boost the incoming signal level to a healthy point so that the rest of the mixer circuitry doesn't need to increase level any further. Instead, all of the other level knobs in the path should be set in such a way that they are simply passing it along to the next stage.
I generally run my channel and main level knobs at roughly between 50% and 80% depending on volume needs. Then I bring up the GAIN knob to suite the meters. While talking into your mics normally, bring up the GAIN knob until your meters show a good strong signal which bounces at or near zero. That is your target signal strength. Too far below zero and you are sending a weak signal to the recorder. Too far above zero and you may be adding audible distortion to the signal.
If there is a gain setting in the zoom recorder, the same rules apply there. Boost weak signals. Don't boost an already strong signal.
I hope this has helped. Good luck.