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📅 May 12, 2026 👤 scraface

May 12, 2026

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📌 First discount: 15% of 120 = 0.15 × 120 = 18 → discounted price = 120 – 18 = 102

📌 Second discount: 10% of 102 = 0.10 × 102 = 10.2 → final price = 102 – 10.2 = 91.8

📌 If 8 workers can complete a task in 10 days, how many days would it take 5 workers to complete the same task, assuming constant work rate?

📌 Total work = 8 workers × 10 days = 80 worker-days

📌 Let d = days for 5 workers → 5 × d = 80 → d = 80 / 5 = 16

📌 #### 16**Question:

📌 A science policy analyst is reviewing the distribution of grants for three categories of projects: renewable energy, AI research, and public health. There are 5 grants for renewable energy, 7 for AI research, and 3 for public health. If a committee randomly selects 3 grants to review, what is the probability that exactly 2 are for AI research and 1 is for public health?

📌 To solve this problem, we need to calculate the probability of selecting exactly 2 AI research grants and 1 public health grant out of the total grants.

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