#### 545.18

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• \[ a = \frac{v - u}{t} = \frac{60}{10} = 6 \text{ m/s}^2 \]
• #### 300The geographer observed that a coastal region has lost 12% of its wetlands every decade due to rising sea levels. If the region originally had 800 square kilometers of wetlands, how many square kilometers will remain after 30 years?
• Remaining wetlands = 800 × (1 - 0.12)^3 = 800 × (0.88)^3 = 800 × 0.681472 = <<800*0.681472=545.1776>>545.1776
• The quantum physics instructor explained that a quantum state has a 1/3 probability of being measured in state A, 1/4 in state B, and the rest in state C. What is the probability of measuring the system in state C?
• Probability of C = 1 - (1/3 + 1/4) = 1 - (4/12 + 3/12) = 1 - 7/12 = <<1-7/12=5/12>>5/12
• The Mars researcher analyzed 4 rock samples and found microbial DNA in 3 of them. If she randomly selects 2 samples for further sequencing, what is the probability both contain microbial DNA?

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