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By default, your numerical entry is scored as correct if it is within 1% of the

ID: 1689160 • Letter: B

Question

By default, your numerical entry is scored as correct if it is within 1% of the correct answer. A rule of thumb is always to enter at least 3 digits for numerical questions.
If the correct answer is 7.75109, which of the following entries would be counted as correct? That is, which entries are within WebAssign's default tolerance?

a) 7.75
b)7.6
c)7.681
d)7.8208
e)7.91
f)7.5883

I look at the practice problems for this and all of them has 3 answers to it. So i chose the first 3 answers since they are closer to the actual answer but its still wrong

Explanation / Answer

1% of 7.75109 is .0775109. This means that any number between 7.75109 + .075109 and 7.75109 - .0775109 should be within 1% of our answer. So any solution between 7.8286009 and 7.6735791 These solutions would be a, c, d. The other solutions cannot work. A) 0.014% difference B) 7.6 cannot work because this number is less than 7.67 (our lower bound). [1.949%] C) 0.904% difference D) .899% difference E) 7.91 cannot work because this number is greater than our upper bound, 7.828.[2.05%] F) 7.58 This solution cannot work because it is again lower than our lower bound. [2.10%] You can also use the Percent Error formula |(Your Solution - Accepted Value)|/Accepted Value * 100 = % difference. If the % difference is