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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 ...
The proton radius puzzle is an unanswered problem in physics relating to the size of the proton. [1] Historically the proton charge radius was measured by two independent methods, which converged to a value of about 0.877 femtometres (1 fm = 10 −15 m).
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 result reported by Charles Hutton (1778) suggested a density of 4.5 g/cm 3 (4 + 1 / 2 times the density of water), about 20% below the modern value. [16] This immediately led to estimates on the densities and masses of the Sun , Moon and planets , sent by Hutton to Jérôme Lalande for inclusion in his planetary tables.
Edible kilocalories produced from kilocalories of energy required for cultivation are: 18.1% for chicken, 6.7% for grass-fed beef, 5.7% for farmed salmon, and 0.9% for shrimp. In contrast, potatoes yield 123%, corn produce 250%, and soy results in 415% of input calories converted to calories able to be utilized by humans. [ 4 ]
Using the equipartition theorem, given that the energy is evenly distributed among all three degrees of freedom in equilibrium, we can also split () into a set of chi-squared distributions, where the energy per degree of freedom, ε is distributed as a chi-squared distribution with one degree of freedom, [13] = ()
San Francisco had the highest rate at 7,031 per square mile, or over 344,000 total graduates in the city's 46.7 square miles (121 km 2). [ 182 ] San Francisco has the highest estimated percentage of gay and lesbian individuals of any of the 50 largest U.S. cities, at 15%. [ 183 ]
In the mid-2000s, the share of the oil and gas sector in GDP was around 20%, and in 2013 it was 20–21% of GDP. [409] The share of oil and gas in Russia's exports (about 50% [ citation needed ] ) and federal budget revenues (about 50% [ citation needed ] ) is large, and the dynamics of Russia's GDP are highly dependent on oil and gas prices ...
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