The final exam of a particular class makes up 40% of the final grade, and Moe is failing the class with an average (arithmetic mean) of 45% just before taking the final exam. What grade does Moe need on his final exam in order to receive the passing grade average of 60% for the class?

Answer:%82.5Step-by-step explanation:The final exam of a particular class makes up 40% of the final gradeMoe is failing the class with an average (arithmetic mean) of 45% just before taking the final exam.From point 1 we know that Moe´s grade just before taking the final exam represents 60% of the final grade. Then, using the information in the point 2 we can compute Moe´s final grade as follows:[tex]FG=0.40*FE+0.60*0.45[/tex],where FG is Moe´s Final Grade and FE is Moe´s final exam grade. Then, [tex]\frac{ FG-0.60*0.45}{0.40}=FE[/tex].So, in order to receive the passing grade average of 60% for the class Moe needs to obtain in his exam:[tex]FE=\frac{ 0.60-0.60*0.45}{0.40}=0.825[/tex]That is, he need al least %82.5 to obtain a passing grade.