Question

Part a determine the percent error in this approximate value. (there are 365.24 days in one year.)

Answer 1

The percent error when comparing the approximate value of 365 days in a year to the exact value of 365.2425 days is approximately 0.0667%.

Step-by-step explanation:

To determine the percent error of an approximate value, we compare it to a more accurate or exact value. Since we know the exact length of a year is 365.2425 days (from the Gregorian calendar), but the approximation given is 365 days, we can calculate the percent error using the formula:

Percent Error = |(Exact Value − Approximate Value) / Exact Value| × 100%

Applying the values:

Percent Error = |(365.2425 − 365) / 365.2425| × 100% ≈ 0.0667%

Answer 2

we know that

in one year---------> 365 days

365 day represent the 100%

by proportion

`(100)/(365) (\%)/(days) = (x)/(365.24) (\%)/(days) \\\\x*365=100*365.24 \\\\x= (365.24*100)/(365) \\\\x=100.07\%`

Find the percentage error

`Percentage\ error=100.07\%-100\%=0.07\%`

therefore

the answer is

the percentage error is equal to
`0.07\%`