The oxygen equivalence number of a weld is a number that can be used to predict properties such as hardness, strength, and ductility. The article;"Advances in Oxygen Equivalence Equations for Predicting the Properties of Titanium Welds"; presents several equations for computing the oxygen equivalence number of a weld. An equation designed to predict the strength of a weld is X = 1.12C + 2.69N + O &amp;minus; 0.21 Fe, where X is the oxygen equivalence, and C, N, O, and Fe are the amounts of carbon, nitrogen, oxygen, and iron, respectively, in weight percent, in the weld. Suppose that for welds of a certain type, μ;C=0.0247,μ;N=0.0255,μ;o=0.1668,μ;Fe=0.0597,σ;C=0.0131,σ;N=0.0194,σ;o=0.0340,and σ;Fe=0.0413. Furthermore assume that correlations are given by ρ;C,N=min;0.44,ρ;C,O=0.58,ρ;C,Fe=0.39,ρ;N,O=min;0.32,ρ;N,Fe=0.09,and ρ;O.Fe=min;0.35. a. Find μ;x. b. Find Cov(C, N), Cov(C, O), Cov(C, Fe), Cov(N, O), Cov(N, Fe), and Cov(O, Fe). c. Find σ;X. .

Question

The oxygen equivalence number of a weld is a number that can be used to predict properties such as hardness, strength, and ductility. The article;&quot;Advances in Oxygen Equivalence Equations for Predicting the Properties of Titanium Welds&quot;; presents several equations for computing the oxygen equivalence number of a weld. An equation designed to predict the strength of a weld is X = 1.12C + 2.69N + O &amp;amp;minus; 0.21 Fe, where X is the oxygen equivalence, and C, N, O, and Fe are the amounts of carbon, nitrogen, oxygen, and iron, respectively, in weight percent, in the weld. Suppose that for welds of a certain type, μ;C=0.0247,μ;N=0.0255,μ;o=0.1668,μ;Fe=0.0597,σ;C=0.0131,σ;N=0.0194,σ;o=0.0340,and σ;Fe=0.0413. Furthermore assume that correlations are given by ρ;C,N=min;0.44,ρ;C,O=0.58,ρ;C,Fe=0.39,ρ;N,O=min;0.32,ρ;N,Fe=0.09,and ρ;O.Fe=min;0.35. a. Find μ;x. b. Find Cov(C, N), Cov(C, O), Cov(C, Fe), Cov(N, O), Cov(N, Fe), and Cov(O, Fe). c. Find σ;X.​ .

Aniqa O&#039;Neill · Accepted Answer

(a) 0.250522&amp;nbsp;(b) Cov(C, N) = —0.0001118216, Cov(C, 0) = 0.000258332, Cov(C, Fe) 0.0002110017, Cov(W,0) = —0.000211072, Cov(N, Fe) = 0.0000721098, Cov(O, Fe) = —0.00049147&amp;nbsp;(c) 0.0546

The oxygen equivalence number of a weld is a number that can be used to predict properties such as hardness, strength, and ductility.

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