How would the instructor come up with this answer?
1-1/5with a exponet of 2 = 96%
1 - (1/5)^2 = 96%
1 - (1/25) = 96%
(25/25) - (1/25) = 96%
(24/25) = 96%
0.96 = 96%
(0.96) 100% = 96%
96% = 96%
1-1/5with a exponet of 2 = 96%
I'm not sure how to interpret your data. You can indicate an exponent by putting this symbol (^) before the exponent. This what I assume:
1 - 1/5^2 = 1 - .2^2 = 1 - .04 = .96 = 96%
However, from the way you stated your question, it could be:
(1 - 1/5)^2 = (4/5)^2 = .8^2 = .64
I hope this helps. Thanks for asking.
To determine how the instructor arrived at the answer of 96%, let's break down the steps they likely took:
Step 1: Evaluate (1 - 1/5)²:
Start by simplifying the expression within the parentheses. (1 - 1/5) can be written as (5/5 - 1/5) = 4/5. So, (1 - 1/5)² becomes (4/5)².
Step 2: Calculate the square of 4/5:
To square a fraction, you multiply the numerator by itself and the denominator by itself. In this case, (4/5)² = (4*4)/(5*5) = 16/25.
Step 3: Convert the fraction to a percentage:
To express the result as a percentage, divide the numerator by the denominator and multiply by 100. (16/25) * 100 = 64/25 * 100 = 2560/25 = 102.4%.
Based on the above steps, it seems like there might be an error in the answer mentioned (96%) because the correct calculation yields 102.4%.