17-04-05 - 17.4.5 Conveyor Belt Malfunctions The times in...

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17.4.5 Conveyor Belt Malfunctions The times in hours that a conveyor belt operates before a mechanical malfunction occurs are given in the first column of DS 17.4.1. n := 25 F x j := j - 0.3 n + 0.4 x j y = Fxj x_ = ln(x) y_ = ln(ln(1/(1-y))) 3 1 .027559055118 1.098612288668 -3.577483693182 7 2 .066929133858 1.945910149055 -2.669683806380 14 3 .106299212598 2.639057329615 -2.185831480015 20 4 .145669291339 2.995732273554 -1.848730450303 23 5 .185039370079 3.135494215929 -1.586622799032 46 6 .224409448819 3.828641396489 -1.369907213742 50 7 .263779527559 3.912023005428 -1.183433029953 62 8 .303149606299 4.127134385045 -1.018366275508 63 9 .342519685039 4.143134726392 -.869072148177 75 10 .381889763780 4.317488113536 -.731704113790 88 11 .421259842520 4.477336814478 -.603486236336 98 12 .460629921260 4.584967478671 -.482313742834 101 13 .500000000000 4.615120516841 -.366512920582 113 14 .539370078740 4.727387818712 -.254685390741 132 15 .578740157480 4.882801922586 -.145597689834 139 16 .618110236220 4.934473933131 -.038093129059 146 17 .657480314961 4.983606621708 .068990609957 148 18 .696850393701 4.997212273764 .176914335055 186 19 .736220472441 5.225746673713 .287163173568 239 20 .775590551181 5.476463551932 .401646492590 295 21 .814960629921 5.686975356340
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