Neco 2022 Civic Education Question 2

Three sources of potential conflict in a community are assigned monthly intensity scores: resource competition \(30\), ethnic tension \(40\), and political disagreement \(20\). The overall conflict index \(C\) is defined as the Euclidean norm of the three scores: \(C = \sqrt{R^{2}+E^{2}+P^{2}}\). A peace programme reduces each source's score by a specific factor: resource competition by \(15\%\), ethnic tension by \(10\%\), and political disagreement by \(25\%\). After these reductions, a synergy effect further lowers the overall index by \(5\%\) of the original index (the index calculated before any reductions). What is the new conflict index after the programme, rounded to two decimal places?