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A student answered 86 problems correctly, which was 81.9% of the total number of problems on the test. How many problems did the student answer incorrectly? Choose 1 answer: (A) 4 (B) 19 (c) 86 (D) 105

A student answered 8686 problems correctly, which was 81.9% 81.9 \% of the total number of problems on the test. How many problems did the student answer incorrectly?\newlineChoose 11 answer:\newline(A) 44\newline(B) 1919\newline(C) 8686\newline(D) 105105

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Mean, median, mode, and range: find the missing numberright chevron icon

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Q. A student answered 8686 problems correctly, which was 81.9% 81.9 \% of the total number of problems on the test. How many problems did the student answer incorrectly?\newlineChoose 11 answer:\newline(A) 44\newline(B) 1919\newline(C) 8686\newline(D) 105105
  1. Find Total Number: First, we need to find the total number of problems on the test. We can do this by using the percentage of problems the student answered correctly.\newlineWe have:\newlinePercentage of problems answered correctly = 81.9%81.9\%\newlineNumber of problems answered correctly = 8686\newlineTo find the total number of problems, we use the formula:\newlineTotal number of problems = Number of problems answered correctly / (Percentage of problems answered correctly / 100100)
  2. Calculate Total: Now we calculate the total number of problems:\newlineTotal number of problems = 86/(81.9/100)86 / (81.9 / 100)\newlineTotal number of problems = 86/0.81986 / 0.819\newlineTotal number of problems ≈105\approx 105 (rounded to the nearest whole number since the number of problems cannot be a fraction)\newlineWe have found the total number of problems on the test.
  3. Find Incorrectly Answered: Next, we need to find the number of problems the student answered incorrectly. We can do this by subtracting the number of problems answered correctly from the total number of problems.\newlineNumber of problems answered incorrectly == Total number of problems −- Number of problems answered correctly
  4. Calculate Incorrectly Answered: Now we calculate the number of problems answered incorrectly:\newlineNumber of problems answered incorrectly = 105−86105 - 86\newlineNumber of problems answered incorrectly = 1919

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