The phrase "and hence decide" is correct and usable in written English.
It can be used to indicate a conclusion or decision that follows logically from the preceding information or argument.
Example: "The evidence presented was compelling, and hence decide to move forward with the project."
Alternatives: "and therefore conclude" or "and thus determine".
Also, the transmitting users have some side information, by which they know if a collision has occurred and, hence, decide to retransmit.
Essentially the transmitters need to know only an appropriate value of t to calculate how far the arrival rate is from the capacity region and hence decide their transmission rate.
While governments are seen to be investing in LNG infrastructure through port authorities, many ship owners continue to prepare for different contingencies and hence decide against investing in LNG-only ships.
With the IAWA, it is possible to decide more flexibly the proper distribution of transmission time between the two air interfaces and hence, decide what is the best trade-off between goodput of an air interface and fairness of the system.
The child belongs to the family, so almost any adult could take care of the child and hence decide on behalf of the child.
However, as a natural fiduciary, the physician-researcher retains her/his unwaived obligations such as the obligation to deliberate on the patient's situation, and hence, decide whether it is still reasonable for the patient to be part of the trial or whether, for the patient's interest, the patient ought to be removed from the trial.
Ms. Rowling may well have felt that the reaction, both critical and commercial, was distorted by her fame, and hence decided on a pseudonym for "The Cuckoo's Calling".
At Volkswagen, employees were afraid to admit that VW automobiles could not meet the emission standards and hence decided to cheat.
I was a person who found herself moving (and hence decided to have adventures) in the midst of trying to settle down somewhere, with art supplies I needed.
The participants feared being talked about if sex did not go right and, hence, decided to avoid it altogether.
Usually either the most severe health state or dead state is the least valued state and hence decides the lower bound of utility values [ 3].
