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In statistics, the 68–95–99.7 rule, also known as the empirical rule, and sometimes abbreviated 3sr or 3 σ, is a shorthand used to remember the percentage of values that lie within an interval estimate in a normal distribution: approximately 68%, 95%, and 99.7% of the values lie within one, two, and three standard deviations of the mean ...
Suppose one needs to square a number n near 50. The number may be expressed as n = 50 − a so its square is (50−a) 2 = 50 2 − 100a + a 2. One knows that 50 2 is 2500. So one subtracts 100a from 2500, and then add a 2. For example, say one wants to square 48, which is 50 − 2. One subtracts 200 from 2500 and add 4, and get n 2 = 2304.
"The value for which P = .05, or 1 in 20, is 1.96 or nearly 2; it is convenient to take this point as a limit in judging whether a deviation is to be considered significant or not." [11] In Table 1 of the same work, he gave the more precise value 1.959964. [12] In 1970, the value truncated to 20 decimal places was calculated to be
[20] [21] In September 2012, according to the Institute for Policy Studies, over 60 percent of the Forbes richest 400 Americans grew up in substantial privilege. [22] Distribution of household wealth for the Top 1% and Bottom 50% in the U.S. since 1989, from the Federal Reserve (Wealth by wealth percentile group (Shares (%))).
This is a price increase of 60% and a quantity decline of 20%, an elasticity of (%) / (+ %) for that part of the demand curve. If the price falls from $16 to $10 and the quantity rises from 80 units to 100, however, the price decline is 37.5% and the quantity gain is 25%, an elasticity of ( + 25 % ) / ( − 37.5 % ) = − 0.67 {\displaystyle ...
A map of Catholicism by population percentage. Catholicism is the largest branch of Christianity and the Catholic Church is the largest among churches. About 50% of all Christians are Catholics. [1] [2] According to the annual directory of the Catholic Church or Annuario Pontificio of 2024, there were 1.390 billion baptized Catholics in 2022.
In finance, the rule of 72, the rule of 70 [1] and the rule of 69.3 are methods for estimating an investment's doubling time. The rule number (e.g., 72) is divided by the interest percentage per period (usually years) to obtain the approximate number of periods required for doubling.
1,458: (4 × 1) + (4 × 4) + (4 × 5) + 8 = 4 + 16 + 20 + 8 = 48. 7: Forming an alternating sum of blocks of three from right to left gives a multiple of 7 [5] [7] 1,369,851: 851 − 369 + 1 = 483 = 7 × 69. Adding 5 times the last digit to the rest gives a multiple of 7. (Works because (50 − 1) is divisible by 7.) 483: 48 + (3 × 5) = 63 = 7 ...