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Home » Step 2: Sum of divisors function for odd part. - Parker Core Knowledge

Step 2: Sum of divisors function for odd part. - Parker Core Knowledge

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 Dr. Elena is analyzing dose-response data: a drug at 5 mg reduces amyloid plaques by 20%, and each additional 5 mg increases reduction by 18% of the previous increment. What is the total plaque reduction at 15 mg?

📌 Theo calculated that a neutron stars radius shrinks by 12 km every year during its cooling phase. If it started at 12 km and reached a radius of 2.4 km, how many years did the phase last?

📌 Dr. Elena combines two experimental compounds: Compound A is effective in 70% of cases, Compound B in 60%, and together they are effective in 40% of patients due to synergy. What is the probability a patient responds when both are used, assuming independence in failure?

📌 But observed effective when both used: 40%

📌 But data says 40% effective with both — contradiction?

📌 But the synergy claim (40%) may reduce independent efficacy, but problem states patients respond in 40% when both are used. So use given: 40% = P(A or B) when both used.

📌 Thus, synergy reduces individual effect but not joint probability.

📌 But question: what is the probability a patient responds when both are used? and gives 40% as observed.

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