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#### 1023
February 22, 2026
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Rick is building a binary tree structure for a data visualization app. Each node stores a health metric, and every level doubles the number of nodes from the previous. Starting with 1 node at level 0, how many total nodes are there in a tree with 10 levels?
This is a geometric series: level 0: 2⁰ = 1, level 1: 2¹ = 2, ..., level 9: 2⁹.
Total nodes = Σ from k=0 to 9 of 2ᵏ = 2¹⁰ − 1 = <<2^10-1=1023>>1023.
Sierra is analyzing patient wait times at a clinic. The average wait time is 22 minutes with a standard deviation of 5 minutes. Assuming a normal distribution, what percentage of patients wait longer than 30 minutes?
Find z-score: (30 − 22) / 5 = <<8/5=1.6>>1.6.
Using standard normal table, P(Z > 1.6) ≈ 1 − 0.9452 = 0.0548.
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