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A Force P In The Xy Plane Acts On The Triangular Plate The Moments Of P About Points O A And B Are M O 350 N M

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Xy on p&id-P has two values that differ by 90o They are known as the principal angles For one of these angles σ x1 is a maximum principal stress and for the other a minimum The principal stresses occur in mutually perpendicular planes 2 tan2 x y xy P σ σ τ θ − = 2 ( ) sin2 cos2 R R x y P xy P σ σ θ τ θ − = = P 1 for the maximum stressA)(o, ȳ) b)(ẍ,0) c)(ẍ, ȳ) d)(ẍ/2,ȳ/2) 47 Which of the statements do not hold true?

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In statistics, Somers' D, sometimes incorrectly referred to as Somer's D, is a measure of ordinal association between two possibly dependent random variables X and YSomers' D takes values between − when all pairs of the variables disagree and when all pairs of the variables agree Somers' D is named after Robert H Somers, who proposed it in 1962A) Pxy/σy 2 b) P xy/σx 2 c) P xy/σxσy d) σy/σx 46 Both regression lines pass through a point which is the point of intersection of the 2 regression lines Which is that point?Cy«;Ë'V^0\ »MßmÉ™;¼6ȱ‚ô3`³ÔtTðhrÙ„Ä¢%eLªQ g Ó¥&9d3ç«Æq óH²¢LÍ'óÝç h Õ Š‰÷QÛ_ l˜(qŠ¿¬ ž"áÉ ÓáéÞ • "™ I³ E WÓ‡ }ߨ ÜF ¯sœ¹R' Îr_ \¬ Ô†*DE z r­q D²> ¡g"™ø%ã è—E¹ó/¥‰ÿû d0ˆ ÑO l ²)€ ‡C { £€#Ä HöÄÍðy=Lô§vw¾TžH{ ÞAÔ¯Òÿ±C

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A product distribution is a probability distribution constructed as the distribution of the product of random variables having two other known distributions Given two statistically independent random variables X and Y, the distribution of the random variable Z that is formed as the product = is a product distributionExample 3 Find the value of x from the given figure, in which O is the centre of the circle Solution Example 4 P is the centre of the circle Prove that ∠XPZ = 2 (∠XZY ∠YXZ) Solution Given A circle with centre P, XY and YZ are two chords Example 5 O is the centre of the circle ∠OAB = °, ∠OCB = 55° Find ∠BOC and ∠AOC

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