Respuesta :
Answer:
The minimum score needed on the semester exam to earn an 80 by Javier is 87.
Step-by-step explanation:
The scores he has scored in the papers = 73, 71 and 82
Let us assume the score Javier scores in the semester exam = p
The average of the total marks = 80
Now , as semester exam is counted TWICE:
The total of all the marks obtained by Javier = 73+ 71 + 82 + p + p
= 226 + 2p
Now, the average marks of 5 papers
= [tex]\frac{\textrm{Sum of total marks of 5 papers}}{{5}} = \frac{226 + 2p}{5}[/tex]
But the average here is given to be 80.
[tex]\implies ( \frac{226 + 2p}{5}) = 80\\\implies 226 + 2p = 400\\\implies 2 p = 400 - 226 = 174\\\implies p =\frac{174}{2} = 87[/tex]
or, p = 87
Hence, the minimum score needed on the semester exam to earn an 80 by Javier is 87.
