Utilities paid by tenant means just that. You pay ALL utilities. Can include electricity, water/sewer/trash, gas (if piped for natural gas lines), tv services (cable/satellite), and phone (if a land-line). Add all that up before you sign the lease, so you know for certain what your monthly outlay is going to be. For $920 on an apartment in Texas, I hope you're getting ground floor, good parking, at least two bedrooms, a decent sized apartment (900-1000+sf), and have amenities such as a business center and swimming pool, and possibly even a detached garage option.
Have a blessed day!