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30 20 10 0 -10 -20 -30 -20 - 0 20 During a PET scan, a random coincidence event is recorded for an elliptical patient centred at the origin of a detector circle (patient semi-major axis 25 cm and semi- minor axis 20 cm). The detector has diameter 70 cm, the geometry of which is illustrated above. The first event occurs at position co-ordinates a = (-10,0). The second event occurs at b = (10,0). The event at b is subsequently detected at ring position (x, y) = (0,35). If the false detection event due to random coincidence is 5 (5, 4), find the true time interval between events at a and b. recorded at d = √2

30 20 10 0 -10 -20 -30 -20 - 0 20 During a PET scan, a random coincidence event is recorded for an elliptical patient centred at the origin of a detector circle (patient semi-major axis 25 cm and semi- minor axis 20 cm). The detector has diameter 70 cm, the geometry of which is illustrated above. The first event occurs at position co-ordinates a = (-10,0). The second event occurs at b = (10,0). The event at b is subsequently detected at ring position (x, y) = (0,35). If the false detection event due to random coincidence is 5 (5, 4), find the true time interval between events at a and b. recorded at d = √2

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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30 20 10 -10 -20 -30 -20 During a PET scan, a random coincidence event is recorded for an elliptical patient centred at the origin of a detector circle (patient semi-major axis 25 cm and semi- minor axis 20 cm). The detector has diameter 70 cm, the geometry of which is illustrated above. The first event occurs at position co-ordinates a = (-10,0). The second event occurs at b = (10,0). The event at b is subsequently detected at ring position (x, y) = (0,35). If the false detection event due to random coincidence is recorded at d (5,-4), find the true time interval between events at a and b. 20
Transcribed Image Text:30 20 10 -10 -20 -30 -20 During a PET scan, a random coincidence event is recorded for an elliptical patient centred at the origin of a detector circle (patient semi-major axis 25 cm and semi- minor axis 20 cm). The detector has diameter 70 cm, the geometry of which is illustrated above. The first event occurs at position co-ordinates a = (-10,0). The second event occurs at b = (10,0). The event at b is subsequently detected at ring position (x, y) = (0,35). If the false detection event due to random coincidence is recorded at d (5,-4), find the true time interval between events at a and b. 20
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