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x^2 - 9 = (x - 3)(x + 3) - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Efficiency = 85% − 17.5% = <<85-17.5=67.5>>67.5%

📌 A hydrothermal vent ecosystem hosts 12,000 extremophiles. A deep-sea probe collects a random sample of 4.5% of the population. How many organisms are sampled, and if 1 in every 300 carries a rare gene, how many rare-gene carriers are expected in the sample?

📌 Sample size = 4.5% of 12,000 = 0.045 × 12,000 = <<0.045*12000=540>>540

📌 Rare-gene carriers = 540 / 300 = <<540/300=1.8>>1.8 → round to nearest whole = 2

📌 Lena measures pH levels at five vent sites: 5.2, 4.9, 5.5, 5.0, and 4.7. She excludes the highest and lowest values to reduce outlier impact. What is the mean of the remaining three?

📌 Lowest: 4.7, Highest: 5.5 → remaining: 5.2, 5.0, 4.9

📌 Sum = 5.2 + 5.0 + 4.9 = <<5.2+5.0+4.9=15.1>>15.1

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Solution:** First, determine how many positive integers \( n \) satisf...
First, factor 120:
= 2^3 \cdot 3 \cdot 5
The total number of positive divisors of 120 is:
Now, list all divisors of 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Among these, the divisors \( \leq 60 \) are all except 120. So there a...
There are 60 positive integers from 1 to 60.
Thus, the probability that a randomly chosen positive integer \( n \le...
\frac{15}{60} = \frac{1}{4}

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