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In particular, the quantile is 1.96; therefore a normal random variable will lie outside the interval in only 5% of cases. The following table gives the quantile z p {\textstyle z_{p}} such that X {\textstyle X} will lie in the range μ ± z p σ {\textstyle \mu \pm z_{p}\sigma } with a specified probability p {\textstyle p} .
Every prime number p divides a Fibonacci number that can be determined by the value of p modulo 5. If p is congruent to 1 or 4 modulo 5, then p divides F p−1, and if p is congruent to 2 or 3 modulo 5, then, p divides F p+1. The remaining case is that p = 5, and in this case p divides F p.
This table lists the 336 incorporated places in the United States, excluding the U.S. territories, with a population of at least 100,000 as of July 1, 2023, as estimated by the U.S. Census Bureau. Five states have no cities with populations exceeding 100,000.
The Sykes–Picot Agreement (/ ˈ s aɪ k s ˈ p iː k oʊ,-p ɪ ˈ k oʊ,-p iː ˈ k oʊ / [1]) was a 1916 secret treaty between the United Kingdom and France, with assent from Russia and Italy, to define their mutually agreed spheres of influence and control in an eventual partition of the Ottoman Empire.
In 2009, property taxes on the mansion were reported to be US$1.063 million, on a total assessed value of US$147.5 million. [190] The 66,000-square-foot (6,100 m 2 ) estate has a 60-foot (18 m) swimming pool with an underwater music system, as well as a 2,500-square-foot (230 m 2 ) gym and a 1,000-square-foot (93 m 2 ) dining room.
One radian is defined as the angle at the center of a circle in a plane that subtends an arc whose length equals the radius of the circle. [6] More generally, the magnitude in radians of a subtended angle is equal to the ratio of the arc length to the radius of the circle; that is, =, where θ is the magnitude in radians of the subtended angle, s is arc length, and r is radius.
Mumbai (/ m ʊ m ˈ b aɪ / muum-BY; ISO: Muṁbaī, Marathi: ⓘ), also known as Bombay (/ b ɒ m ˈ b eɪ / bom-BAY), is the capital city of the Indian state of Maharashtra.Mumbai is the financial capital and the most populous city proper of India with an estimated population of 12.5 million (1.25 crore). [20]
The EBRD expressed concerns about regulatory independence and enforcement, price setting, and the market power of incumbent infrastructure operators. [ 21 ] Income inequality as measured by the Gini coefficient rose significantly in the transition economies between 1987 and 1988 and the mid-1990s.