It's the gamble that banks make. A bank holds your money and will give it to you at any time. To fund this, they make an assumption about how many of their customers will actually want their money at any one time, and they invest the rest.
If all their customers decide to withdraw their money, this is a "run on the bank" and generally dooms the bank.
Presumably Tether planned to do the same: a percentage of the money they held would be invested, based on the assumption that not everyone who held Tether would want USD at any one point in time.
Of course, this stretches the meaning of "reserve", and utterly fails if they mismanaged the investment bit and lost the money they invested