Final answer:
To determine the impact of a 65% test grade worth 30% of your grade on an overall grade of 70%, you multiply the test score by 30%, add this to 70% of the overall grade, and find that the new grade would be 68.5%.
Step-by-step explanation:
If a 65% grade on a test is worth 30% of your overall grade, and you currently have a 70% overall grade, you need to calculate what your new weighted overall grade will be after this test score is included. To do this, multiply the test score by the weight of the test and add this to the weighted percentage of the rest of your coursework. If the rest of the coursework is 70% of your grade, and the test is 30%, your calculation for the new overall grade would look like this:
(0.65 * 0.30) + (Current Grade * 0.70) = New Overall Grade
(0.195) + (0.70 * 0.70) = New Overall Grade
(0.195) + (0.49) = New Overall Grade
0.685 = New Overall Grade
This means your new overall grade would be 68.5%, rounding to the nearest tenth.