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A bioinformatician applies a machine learning model that correctly identifies gene functions with 92% accuracy. If the model analyzes 2,500 genes, and 1,800 are truly annotated, how many non-annotated genes are incorrectly labeled if total errors are distributed uniformly across false positives and false negatives?Total correct = 92% of 2,500 = 0.92 × 2,500 = <<0.92*2500=2300>>2,300.Total errors = 2,500 - 2,300 = <<2500-2300=200>>200.Assuming errors evenly split: false positives + false negatives = 200.So, incorrectly labeled non-annotated genes = 100% of errors assigned to non-annotated group if symmetric → <<200=200>>200.An astronomer calculates that a protoplanetary disk has a total mass of 5 × 10³⁰ kg, with 60% forming into planets and the rest dissipating. If the largest planet collects 2.4 × 10³⁰ kg, what fraction of the planetary mass did it receive?Mass forming planets = 60% of 5 × 10³⁰ = 0.6 × 5 × 10³⁰ = <<0.6*5e30=3e30>>3 × 10³⁰ kg.Fraction received = 2.4 × 10³⁰ / 3 × 10³⁰ = <<2.4/3=0.8>>0.8.#### 0.8A geographer uses GIS to analyze urban sprawl and finds that a city’s area grew from 400 km² to 750 km² over 25 years. If the growth was exponential, what is the annual growth rate (as a percent)?