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Conversely the period of the repeating decimal of a fraction c / d will be (at most) the smallest number n such that 10 n − 1 is divisible by d. For example, the fraction 2 / 7 has d = 7, and the smallest k that makes 10 k − 1 divisible by 7 is k = 6, because 999999 = 7 × 142857. The period of the fraction 2 / 7 is ...
Pearson's correlation coefficient is the covariance of the two variables divided by the product of their standard deviations. The form of the definition involves a "product moment", that is, the mean (the first moment about the origin) of the product of the mean-adjusted random variables; hence the modifier product-moment in the name.
Microsoft Excel 2003 XML XML Spreadsheet Yes Yes Microsoft Excel 4/5/95 XLS, XLW, XLT Spreadsheet Yes Up to 3.6 [78] Microsoft Excel 97–2003 XLS, XLW, XLT Spreadsheet Yes Yes Microsoft Excel 2007-2021 XLSX Spreadsheet Yes Yes Microsoft Excel Web Query File IQY Data sources, text From 5.4 [79] Microsoft Office 2007-2021 Office Open XML: DOCX ...
Lisbon (/ ˈ l ɪ z b ən / ⓘ LIZ-bən; Portuguese: Lisboa [liʒˈβoɐ] ⓘ) [2] is the capital and largest city of Portugal, with an estimated population of 567,131 as of 2023 within its administrative limits [3] and 2,961,177 within the metropolis. [4]
Fig. 1 Typical project cash flow with uncertainty. The mathematical equation for the DM Method is shown below. The method captures the real option value by discounting the distribution of operating profits at R, the market risk rate, and discounting the distribution of the discretionary investment at r, risk-free rate, before the expected payoff is calculated.
Water can generate electricity with a conversion efficiency of about 90%, which is the highest rate in renewable energy. [87] There are many forms of water energy: Historically, hydroelectric power came from constructing large hydroelectric dams and reservoirs, which are still popular in developing countries. [88]
The archipelago's extant main islands have been above the surface of the ocean for less than 10 million years, a fraction of the time biological colonization and evolution have occurred there. The islands are well known for the environmental diversity that occurs on high mountains within a trade winds field.