To calculate a weighted average, use the formula weighted average where w is the weight of the piece of data, x; xw is the sum ofΣ» the products of each piece of data multiplied by its weight; and wis the sum of the weights. Suppose that your final grade for a course is determined by a midterm exam and a final exam. The midterm exam is worth 45% of your grade, and the final exam is worth 55%. If your midterm grade is 76 and your final exam grade is 96, calculate your final weighted average. Your weighted average is?

Determine whether the set of whole numbers is closed under addition. explain why the set is or is not closed. give an example.

Write the contrapositive of the conditional statement. determine whether the contrapositive is true or false. if it is false, find a counterexample. a converse statement is formed by exchanging the hypothesis and conclusion of the conditional. a) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. true b) a statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. false; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional. c) a non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. false; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional. d) a statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. true

Ofin . (2,4) (2,1) a. y= 2 b. x= 2 c. x= -2 d. y= 2x