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CLEP College Mathematics Exit Section Calculator Mark Roviow Help Back Next Question 16 of 60 00:46:24 Hide Time A statistics exam consisted of three parts, Part A, Part B, and Part C. The scores for Part A, Part B, and Part C were, respectively, worth 20%,30%, and 50% of the total score of the exam. Nathan's score from Part A was 80% of the score for Part A, his score from Part B was 90% of the score for Part B, and his overall score on the exam was 70% of the total score of the exam. What was Nathan's score from Part C in terms of a percent of the score for Part C ? % Click on the answer box and type in a number. Backspace to erase.

CLEP College Mathematics\newlineExit Section\newlineCalculator\newlineMark\newlineRoviow\newlineHelp\newlineBack\newlineNext\newlineQuestion 1616 of 6060\newline0000:4646:2424\newlineHide Time\newlineA statistics exam consisted of three parts, Part A A , Part B B , and Part C C . The scores for Part A A , Part B B , and Part C C were, respectively, worth 20%,30% 20 \%, 30 \% , and 50% 50 \% of the total score of the exam. Nathan's score from Part A A was 80% 80 \% of the score for Part A A , his score from Part B B was B B 22 of the score for Part B B , and his overall score on the exam was B B 44 of the total score of the exam. What was Nathan's score from Part C C in terms of a percent of the score for Part C C ?\newlineB B 77\newlineClick on the answer box and type in a number. Backspace to erase.

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Q. CLEP College Mathematics\newlineExit Section\newlineCalculator\newlineMark\newlineRoviow\newlineHelp\newlineBack\newlineNext\newlineQuestion 1616 of 6060\newline0000:4646:2424\newlineHide Time\newlineA statistics exam consisted of three parts, Part A A , Part B B , and Part C C . The scores for Part A A , Part B B , and Part C C were, respectively, worth 20%,30% 20 \%, 30 \% , and 50% 50 \% of the total score of the exam. Nathan's score from Part A A was 80% 80 \% of the score for Part A A , his score from Part B B was B B 22 of the score for Part B B , and his overall score on the exam was B B 44 of the total score of the exam. What was Nathan's score from Part C C in terms of a percent of the score for Part C C ?\newlineB B 77\newlineClick on the answer box and type in a number. Backspace to erase.
  1. Calculate Part A Weighted Score: Calculate the weighted score for Part A.\newlineNathan's score for Part A = 80%80\% of Part A's weight.\newlineSo, Nathan's score for Part A = 0.80×20%=16%0.80 \times 20\% = 16\%.
  2. Calculate Part B Weighted Score: Calculate the weighted score for Part B.\newlineNathan's score for Part B = 90%90\% of Part B's weight.\newlineSo, Nathan's score for Part B = 0.90×30%=27%0.90 \times 30\% = 27\%.
  3. Calculate Total Weighted Score: Calculate the total weighted score for Parts A and B.\newlineTotal weighted score for Parts A and B = 16%+27%=43%16\% + 27\% = 43\%.
  4. Calculate Remaining Percentage: Calculate the remaining percentage needed to reach the overall score.\newlineNathan's overall score = 70%70\%.\newlineRemaining percentage needed = 70%−43%=27%70\% - 43\% = 27\%.
  5. Calculate Part C Score: Calculate Nathan's score for Part C.\newlineSince Part C is worth 50%50\% of the total score, and Nathan needs 27%27\% more to reach 70%70\%, his score from Part C must be 27%27\% of the total score.\newlineBut we need to express this as a percent of the score for Part C, not of the total score.\newlineSo, Nathan's score for Part C = (27%/50%)×100%=54%(27\% / 50\%) \times 100\% = 54\%.

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