You are given the following three pairs of image and corresponding object distances (1.01 mm, 100.030m), (10.02 mm, 1,000.020 m), and (99.97 mm, 10,000.025 m). Assuming that the standard deviations of the image and object distance measurements are ±20 µm and ±20 mm, respectively, what are the corresponding image scale and standard deviation using each of these pairs? What would you infer from these derived scales/standard deviations?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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You are given the following three pairs of image and corresponding object
distances (1.01 mm, 100.030m), (10.02 mm, 1,000.020 m), and (99.97 mm,
10,000.025 m). Assuming that the standard deviations of the image and object
distance measurements are ±20 µm and ±20 mm, respectively, what are the
corresponding image scale and standard deviation using each of these pairs?
What would you infer from these derived scales/standard deviations?
Transcribed Image Text:You are given the following three pairs of image and corresponding object distances (1.01 mm, 100.030m), (10.02 mm, 1,000.020 m), and (99.97 mm, 10,000.025 m). Assuming that the standard deviations of the image and object distance measurements are ±20 µm and ±20 mm, respectively, what are the corresponding image scale and standard deviation using each of these pairs? What would you infer from these derived scales/standard deviations?
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