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Dr. Marcus Wright, a machine learning engineer, trains a diagnostic model on 2,400 medical images. If 60% are labeled as normal, 30% as benign, and 10% as malignant, and he splits the data into training, validation, and test sets in a 7:2:1 ratio, how many malignant images are in the test set?
Professor Lin assigns a group project where students must analyze 180 scientific papers. If 5 students work in teams of 2, each analyzing an equal number, and one student finishes 18 papers in 3 hours, how many papers does each team member analyze?
A student completes 18 in 3 hours — half the workload, so likely in half the time, but the question asks how many each analyzes, not rate.
Dr. Aris Thorne develops a synthetic virus with 4 gene segments. To test immunity, he creates 500 viral variants, each containing a unique combination. If 40% have segment A, 50% have segment B, 30% have segment C, and 20% have segment D, and the presence of D correlates with immunity, how many variants are likely immune-capable if only those with D are effective and hourly testing detects 1 variant per 5 minutes, how long to test all?
But the question asks for time to test all — so total time is 2500 minutes = 41.67 hours.
However, final answer should be in minutes unless specified — but question implies duration.
So total time = 2500 minutes. But since output format expects a number and previous examples use integers, we check:
Wait — the question asks how long, but in context, likely the time to test all.
But to match format, output the time in minutes as computed.
Dr. Priya Mehtas team builds an AI model using 3,600 clinical notes. She splits data into training (70%), validation (20%), and test (10%). She then augments the training set by generating 50% more synthetic entries based on originals. How many total notes are in the augmented training set?
