The following definitions are used: a relation on a set a is defined to be irreflexive if, and only if, for every x a, x r x; asymmetric if, and only if, for every x, y a if x r y then y r x; intransitive if, and only if, for every x, y, z a, if x r y and y r z then x r z. determine whether the relation is irreflexive, asymmetric, intransitive, or none of these. (select all that apply.) r2

Apsychology student wishes to investigate differences in political opinions between business majors and political science majors at her college. she randomly selects 100 students from the 260 business majors and 100 students from the 180 political science majors. does this sampling plan result in a simple random sample? why or why not? no, because each group of 200 students in the sample does not have the same chance of being selected. yes, because each group of 200 students in the sample has the same chance of being selected. no, because each individual student does not have an equal chance of being selected. yes, because each individual student has the same chance of being selected.

Celeste wants to have her hair cut and permed and also go to lunch. she knows she will need $50. the perm cost twice as much as her haircut and she needs $5 for lunch. how much does the perm cost?

Factor the polynomial by its greatest common monomial factor.