Aprofessor believes the class he is teaching in the current semester is above the average of the classes he has taught. in order to test this hypothesis, he analyses the scores of midterm of all 120 students he teaches this semester. their average score of this exam is 82 out of 100, with a standard deviation of 12. the mean score of the midterm for all students that he has taught for the last thirty-two years is 78 out of 100, with a standard deviation of 15. use an alpha level of 0.01 for this analysis.

Graph red beads cost $1 an ounce and gold beads cost $3 an ounce. juanita wants to purchase a 12-ounce mixture of red and gold beads that she can sell for $2 an ounce. the solution of the system shows the number of beads needed for juanita to break even. x + y = 12, x + 3y = 24 how many ounces of red beads will juanita buy to break even? how many ounces of gold beads will she buy?

Which of the following is not a subset of {1,2,3}?

Michelle and julie work at a catering company. they need to bake 264 cookies for a birthday party that starts in a little over an hour and a half. each tube of cookie dough claims to make 36 cookies, but michelle eats about 1/5 of every tube and julie makes cookies that are 1.5 times as large as the recommended cookie size. it takes about 8 minutes to bake a container of cookies, but since julie's cookies are larger, they take 12 minutes to bake. a. how many tubes should each girl plan to bake? how long does each girl use the oven? b. explain your solution process what did you make? c. what assumptions did you make?