The width of a rectangular piece of land is measured to be 48.25ft,if the measurement has a relative error of Tof at most 2%,then what is an upper bound for the absolute error?Suppose the ambient temperature is A = 76.2° ± 0.4°F. In what interval does the true temperature lie?

Answered: The width of a rectangular piece of…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

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The width of a rectangular piece of land is measured to be 48.25ft,if the measurement has a relative error of T
of at most 2%,then what is an upper bound for the absolute error?
Suppose the ambient temperature is A = 76.2° ± 0.4°F. In what interval does the true temperature lie?

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Step 1

Solution - The width of a rectangular piece of land is measured to be 48.25 ft. If the measurement has a relative
error of εt of at most 2%, then what is an upper bound for the absolute error?

Answer. We are given of εt <= 0.02. (From theorm 1 given in next step) it follows that of εa<= 0.02/(1 - 0.02) = 0.020408.
Therefore the absolute error is no more than (0.020408..)(48.25) = 0.9846.

Q-: Suppose the ambient temperature is A = 76.2° ± 0.4°F . In what interval does the true temperature lie?

Answer. The true ambient temperature is between 75.8 and 76.6 .

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