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A method analogous to piece-wise linear approximation but using only arithmetic instead of algebraic equations, uses the multiplication tables in reverse: the square root of a number between 1 and 100 is between 1 and 10, so if we know 25 is a perfect square (5 × 5), and 36 is a perfect square (6 × 6), then the square root of a number greater than or equal to 25 but less than 36, begins with ...
At any step in a Gauss-Seidel iteration, solve the first equation for in terms of , …,; then solve the second equation for in terms of just found and the remaining , …,; and continue to . Then, repeat iterations until convergence is achieved, or break if the divergence in the solutions start to diverge beyond a predefined level.
Thus 24/1000 (2.4%) of the total output will be defective and the likelihood that a randomly selected defective item was produced by machine C is 5/24 (~20.83%). This problem can also be solved using Bayes' theorem: Let X i denote the event that a randomly chosen item was made by the i th machine (for i = A,B,C).
The first 3 powers of 2 with all but last digit odd is 2 4 = 16, 2 5 = 32 and 2 9 = 512. The next such power of 2 of form 2 n should have n of at least 6 digits. The only powers of 2 with all digits distinct are 2 0 = 1 to 2 15 = 32 768, 2 20 = 1 048 576 and 2 29 = 536 870 912.
Country % of income of the richest 1% Albania 8.2 Algeria 9.7 Angola 15.2 Australia 9.1 Austria 9.3 Bahrain 18.0 Belgium 7.8 Benin 17.5 Bosnia and Herzegovina 8.9
2–3 million 1–1.6% of Russian population [14] 1918–1922 Russia: 13 Cocoliztli epidemic of 1576: Cocoliztli 2–2.5 million 50% of Mexican population [12] 1576–1580 Mexico 14 1772–1773 Persian Plague: Bubonic plague 2 million – 1772–1773 Persia: 15 735–737 Japanese smallpox epidemic: Smallpox 2 million 33% of Japanese population ...
By race, in 2014, 38% were non-Hispanic white (including Arabs and Iranians, up from 32% in 2007), 28% were Asian (mostly Indians, Pakistanis, and Bangladeshis, up from 20% in 2007), 28% were black (down from 32%), 4% Hispanic (down from 7%), and 3% of mixed or other race (down from 7%). Since 2007, the black proportion had shrunk, while the ...
In many early attempts, such as in Ancient Egypt and the Persian Empire, the focus was on counting merely a subset of the population for purposes of taxation or military service. [2] Published estimates for the 1st century (" AD 1 ") suggest uncertainty of the order of 50% (estimates range between 150 and 330 million).