Clarice goes to a local home improvement store to purchase new carpet and to have the new carpet installed in a room. Clarice says the room is approximately 400 square feet. Installers arrive and, after taking measurements, determine that the room is 373 square feet. (a) Compute the absolute error. (Simplify your answer completely.) AE = Interpret the result. Clarice's approximation was this many square feet off of the measured square footage of the room. Clarice's approximation had this percent error. The square footage of Clarice's carpet was increased by this amount. This is the ratio of Clarice's approximation to the measured square footage of the room. Clarice's approximation was off by this much relative to the measured square footage of the room. (b) Compute the relative error. Round to three decimal places. (Simplify your answer completely.) RE = Interpret the result. Clarice's approximation was this many square feet off of the measured square footage of the room. Clarice's approximation had this percent error. The square footage of Clarice's carpet was increased by this amount. This is the ratio of Clarice's approximation to the measured square footage of the room. Clarice's approximation was off by this much relative to the measured square footage of the room.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Clarice goes to a local home improvement store to purchase new carpet and to have the new carpet installed in a room. Clarice says the room is approximately 400 square feet. Installers arrive and, after taking measurements, determine
that the room is 373 square feet.
(a) Compute the absolute error. (Simplify your answer completely.)
AE =
Interpret the result.
Clarice's approximation was this many square feet off of the measured square footage of the room.
O Clarice's approximation had this percent error.
The square footage of Clarice's carpet was increased by this amount.
This is the ratio of Clarice's approximation to the measured square footage of the room.
Clarice's approximation was off by this much relative to the measured square footage of the room.
(b) Compute the relative error. Round to three decimal places. (Simplify your answer completely.)
RE =
Interpret the result.
Clarice's approximation was this many square feet off of the measured square footage of the room.
Clarice's approximation had this percent error.
The square footage of Clarice's carpet was increased by this amount.
O This is the ratio of Clarice's approximation to the measured square footage of the room.
Clarice's approximation was off by this much relative to the measured square footage of the room.
Transcribed Image Text:Clarice goes to a local home improvement store to purchase new carpet and to have the new carpet installed in a room. Clarice says the room is approximately 400 square feet. Installers arrive and, after taking measurements, determine that the room is 373 square feet. (a) Compute the absolute error. (Simplify your answer completely.) AE = Interpret the result. Clarice's approximation was this many square feet off of the measured square footage of the room. O Clarice's approximation had this percent error. The square footage of Clarice's carpet was increased by this amount. This is the ratio of Clarice's approximation to the measured square footage of the room. Clarice's approximation was off by this much relative to the measured square footage of the room. (b) Compute the relative error. Round to three decimal places. (Simplify your answer completely.) RE = Interpret the result. Clarice's approximation was this many square feet off of the measured square footage of the room. Clarice's approximation had this percent error. The square footage of Clarice's carpet was increased by this amount. O This is the ratio of Clarice's approximation to the measured square footage of the room. Clarice's approximation was off by this much relative to the measured square footage of the room.
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