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Henry predicted whether he got answers right or wrong in his 50 question exam. He identified the 32 questions he thought he got right. It turns out that Henry got 2 questions wrong that he thought he got correct and he only got 15 of the questions wrong he had predicted. What is the percentage accuracy he had with predicting his scores?

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MathPhys

Answer:

90%

Step-by-step explanation:

Of his 50 answers, the number that he correctly predicted as being right or wrong is 30 + 15 = 45.

So his accuracy is 45/50 = 90%.

Using it's concept, it is found that the percentage accuracy he had with predicting his scores is 90%.

The percentage of a relative to b is given by:

[tex]P = \frac{100a}{b}[/tex]

In this problem:

  • In total, there are 50 questions.
  • Of the ones he got right, he identified 30 right.
  • Of the ones he got wrong, he identified 15 correctly.

Hence, since he identified 45 out of 50 correctly:

[tex]P = \frac{100a}{b} = 100\frac{45}{50} = 100(0.9) = 90\%[/tex]

The percentage accuracy he had with predicting his scores is 90%.

A similar problem is given at https://brainly.com/question/10491646

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