In ogilvie’s class of 40 students, 24 students report that english is their favorite class and 40% of the students report that keyboarding is their favorite class. show your work to explain how to determine whether more students prefer english or keyboarding.

Express the following as a function of a single angle, cos(60) cos(-20) - sin(60) sin(-20)

Explain step-by-step how to simplify -5(2x – 3y + 6z – 10).

Abox contains 1 plain pencil and 4 pens. a second box contains 5 color pencils and 5 crayons. one item from each box is chosen at random. what is the probability that a plain pencil from the first box and a color pencil from the second box are selected? write your answer as a fraction in simplest form.