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Mathematically, we write 40:60 = 2:3, or equivalently 40:60∷2:3. The verbal equivalent is "40 is to 60 as 2 is to 3." A ratio that has integers for both quantities and that cannot be reduced any further (using integers) is said to be in simplest form or lowest terms.
u+00be ¾ vulgar fraction three quarters The "one-half" symbol has its own code point as a precomposed character in the Number Forms block of Unicode , rendering as ½ . The reduced size of this symbol may make it illegible to readers with relatively mild visual impairment ; consequently the decomposed forms 1 ⁄ 2 or 1 / 2 may be more ...
The top 30 students from grades 8-11, the top 6 students from grade 12, and an additional 5 girl students from grades 8-11 from each region qualify for writing the INMO, the third stage exam. Stage 3 or Indian National Mathematical Olympiad: The INMO is held on the third Sunday of January at 28 centers across the country. The examination paper ...
the latter inequality being true because it is assumed that 1< a / b < 3/2, giving a / b + √ 2 ≤ 3 (otherwise the quantitative apartness can be trivially established). This gives a lower bound of 1 / 3 b 2 for the difference | √ 2 − a / b | , yielding a direct proof of irrationality in its constructively ...
If a data distribution is approximately normal then about 68 percent of the data values are within one standard deviation of the mean (mathematically, μ ± σ, where μ is the arithmetic mean), about 95 percent are within two standard deviations (μ ± 2σ), and about 99.7 percent lie within three standard deviations (μ ± 3σ).
Random close packing (RCP) of spheres is an empirical parameter used to characterize the maximum volume fraction of solid objects obtained when they are packed randomly. For example, when a solid container is filled with grain, shaking the container will reduce the volume taken up by the objects, thus allowing more grain to be added to the container.
From fiscal years 2001 to 2009, spending increased by 6.5% of gross domestic product (from 18.2% to 24.7%) while taxes declined by 4.7% of GDP (from 19.5% to 14.8%). Spending increases (expressed as percentage of GDP) were in the following areas: Medicare and Medicaid (1.7%), defense (1.6%), income security such as unemployment benefits and ...
India is the habitat for 8.6% of all mammals, 13.7% of bird species, 7.9% of reptile species, 6% of amphibian species, 12.2% of fish species, and 6.0% of all flowering plant species. [ 197 ] [ 198 ] Fully a third of Indian plant species are endemic. [ 199 ]