Nope.
0.90 * 0.05 = 0.05
0.90 * 0.05 = 0.05
Step 1: Calculate the allowed error range:
5% of 90 cents = 0.05 * 90 = 4.5 cents
Step 2: Calculate the difference between the son's guess and the actual amount:
|Guess - Actual| = |81 - 90| = 9 cents
Step 3: Compare the difference with the allowed error range:
9 cents > 4.5 cents
Since the difference between the son's guess and the actual amount held by the father is greater than the allowed error range of 5%, the son did not guess close enough to receive the money from his father.
First, we calculate 5% of 90 cents:
(5/100) * 90 = 4.5 cents
Then, we find the lower and upper boundaries of the range by subtracting and adding the error value from the actual amount of money held by the father:
90 - 4.5 = 85.5 cents (lower boundary)
90 + 4.5 = 94.5 cents (upper boundary)
Since the son's guess was 81 cents, we need to see if it falls within this range.
81 cents is less than the lower boundary of 85.5 cents. Therefore, the son's guess is not within the 5% error range, and he would not receive the money from his father.