Answer: No, he can't pass the course.
Explanation:
Since we have given that
Marks on tests 1, 2, and 4 are given by
82, 76, 90 respectively.
Unfortunately, he cut the third test and receive a 0.
According to question, we have given that passing grade for the course is 70, and his one test left to take ,
Let the marks obtained in fifth test be x
So,
![\frac{82+76+90+0+x}{5}=70\\\\248+x=5\times 70=350\\\\x=350-248\\\\x=102](https://tex.z-dn.net/?f=%5Cfrac%7B82%2B76%2B90%2B0%2Bx%7D%7B5%7D%3D70%5C%5C%5C%5C248%2Bx%3D5%5Ctimes%2070%3D350%5C%5C%5C%5Cx%3D350-248%5C%5C%5C%5Cx%3D102)
And it is not possible to get 102 over 100.
so, he can't still pass the course.
Hence, No, he can't pass the course.