At a University, 72% of courses have a final exam, 46% of courses require a final paper, and 32% of courses have a final exam and require a final paper. What is the probability that a randomly selected course at this University requires a final exam or a final paper

Part of the total score for each program is the sum of five program component scores. on the free program, the sum of these five program component scores is multiplied by a factor of 2.0. yuzuru hanyu, of japan, earned scores of 9.07, 8.96, 8.89, 9.21, and 9.36 for the program components portion of his free program. how many total points did he receive for this portion?

Seymour is twice as old as cassandra. if 16 is added to cassandra’s age and 16 is subtracted from seymour’s age, their ages become equal. what are their present ages? show !

Solve each quadratic equation by factoring and using the zero product property. [tex]x^2+6x+8=0[/tex]