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Equation 11 is clearly minimized when a =¯x Now consider part b of theorem 1 Expand the second expression in part b and simplify i=1 (x i−x¯)2 = i=1 x2 −2¯x i=1 xi i=1 ¯x2 (12) = i=1 x2 i −2nx¯2 nx¯2 = i=1 x2 i −nx¯2 22 Theorem 2 on expected values and variances of sums Theorem 2. C r í/ì \ } 6 Z5 @ a ¦ q J 8 ~ { 66 >r í P K O X á Ö 0>0>68k n 8 L >&1 H >' >, L È 6 X 8 S W ¥ K S t A' X A 6 O P K O X >&,6 c. If a^x=b b^y=c c^z=a Prove xyz=1 Please give the solution a x =b => x=log a b b y =c=> y=log b c c z =a=> z=log c a xyz=(log a blog b c)log c a =log.

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All of Six Sigma can be summarized with what’s called the breakthrough equation — one generalpurpose equation that shouldn’t intimidate even the least mathematically inclined Y = f(X) ε, where Y is the outcome(s) or result(s) you desire or need X represents the inputs, factors, or pieces necessary to create the outcome(s) You can. ˇ C % 2 D E F G;. Y R X v f B Y j ߑ P R X ` z f B Y j / R X v / N X } X/ T ^ ߑ / T ^/ N X } X / / ~ j } E X/ h X/ s X/ n E B / f B Y j h/ A j / O b Y/ p e B / C x g P C h/ h X E G f B O/ i ڍ׃Z b g e F @ s X @ ܁@ @T V b c @ T C Y F t T C Y g b v X79cm @ @ @ E G X g66?74 @ @ G6575cm @ @ f ށG @ G X e G L k Ȃ J G W u F x ڍה ڍגʏ 2.

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Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with stepbystep explanations, just like a math tutor. Start studying a b c d e f g h i j k l m n o p q r s t u v w x y z now i know my abc's next time won't you sing with me?. " # $ % & ’ * , / 0 1 2 ˜ 3 4 5 6 6 7 8 9;.

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