Let (r) have the standard inner product and u be the subset spanned by the two vectors (ie, polynomials) u,-1+3r-2x2 and u,-x + 2r" +z" find a basis for the orthogonal complement u

:24% of students in a class are girls. if there are less than 30 students in this class, how many students are there? how many girls are there?

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.

What percent of 18 is 24? and plz explain thx.