Prove that the cut-cake positions 1 x s and 1 xt are not equivalent whenever s * t. (hint: find another cut-cake position ß so that adding b to the 1 x s position and adding ß to the 1 xt position give positions of different types.)

What does the sign of the slope tell you about a line?

What is the interquartile range of this data set? 2, 5, 9, 11, 18, 30, 42, 48, 55, 73, 81

Peter applied to an accounting firm and a consulting firm. he knows that 30% of similarly qualified applicants receive job offers from the accounting firm, while only 20% of similarly qualified applicants receive job offers from the consulting firm. assume that receiving an offer from one firm is independent of receiving an offer from the other. what is the probability that both firms offer peter a job?