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hotels near mercedes benz stadium atlanta - Redraw

📅 May 7, 2026 👤 scraface

May 07, 2026

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📌 3Question: A quantum sensing device measures a sequence of five real numbers where the average of the first three is 12. If the average of the last three is 18, and the third number is 14, what is the sum of all five numbers?

📌 Solution: Let the five numbers be $ a_1, a_2, a_3, a_4, a_5 $. From the given, we have:

📌 We are also told $ a_3 = 14 $. Substituting into both equations:

📌 a_1 + a_2 + a_3 + a_4 + a_5 = 22 + 14 + 40 = 76

📌 Question: An angel investor observes that after funding two startups, her success rate in portfolio companies improves from 65% to 70%. If she originally funded 20 companies, how many of the new investments must have succeeded to achieve this improvement?

📌 Solution: Let $ x $ be the number of successful new investments. Originally, she funded 20 companies with a 65% success rate:

📌 After funding 2 more companies, total is $ 22 $ investments. A 70% success rate means:

📌 Question: A science policy analyst models technological adoption with a sequence of five real numbers where each term after the first is obtained by multiplying the previous term by a constant ratio $ r $. If the third term is 24 and the fifth term is 96, find the value of the first term.

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