Nabiki looks at the rude and armed girl her expression passive as she stands
Punishment on her second day and forced to submit to a bully in representation of authority.
Also as a second task she is it seems required to teach a class. 
Nabiki smiles gently and bows slightly to Roxy to show without words that she understands and follows.
As she falls in with Roxy Nabiki allows her mind use of that portion not needed to navigate the halls to mull over her current findings which are amassing into she must admit chaotic pattern.
((What could these mysterious Administrators be after?
They are divided into three groups that like peer packs in any teen society dislike of fear each other
Curriculum isn't assigned but chosen by the students themselves.
Meals,care for the school structure, very interesting)) she thinks
She knows that if the Administrator's goal was to kill them all then they could simply poison the air, food or water. 
So deep in thought Nabiki begins weighing the evidence