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khorasanpublic
16.08.2020 •
Mathematics
1 Let a = 5.2 and b = 4.7.
a Find the exact value of 3a + b3.
Xena estimates that the answer to part a is 140.
b Find the percentage error made by Xena in her estimation.
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Ответ:
Part (a)
Replace every 'a' with 5.2 and replace every 'b' with 4.7
Then use your calculator to evaluate.
3a + b^3 = 3*5.2 + (4.7)^3 = 119.423
119.423Part (b)
The true value is 119.423 which is the result of part (a)
The estimated value is 140
Subtract the two values
140-119.423 = 20.577
and divide that over the true value
20.577/140 = 0.14697857142858
Which, when rounded to 4 decimal places, we get 0.1470
Move the decimal place over to the right 2 spots to get 14.70%
14.70% error (approximate)Ответ: