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What is a plane in geometry?

A plane is also defined as a set of points. Three noncollinear points, or points that don't lie on a single line, are said to lie in a unique plane. There are infinite points in a plane. A line and a point not lying on this line are also said to lie in a unique plane. In geometry, a plane is often represented as a four-sided figure on paper, which allows for the study of planes. The top of a table, the surface of a book and a page in a book are examples of portions of a plane.

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What is the importance of statistics in people's daily lives?

One important use of statistics is helping people to prevent certain diseases by knowing their risk. Doctors and scientists use statistics to determine how likely it is for someone to develop a disease. For example, Americans have about a 40.2 percent risk of developing diabetes at some point in their lifetime. Scientists and doctors determine these statistics through medical research.

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What is a ray in geometry?

A ray is part of a line, which goes on infinitely in both directions and is indicated with the symbol . Like a ray, a line cannot be measured. A line segment, however, can be measured because it is part of a line with both a beginning and an ending point. When two rays share the same fixed point, an angle is formed, and that common point is known as the vertex.

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What is the sum of a geometric series?

In the generic formula, the variable a is the value of the first term, r is the common ratio that relates all of the terms in the sequence and n is the number of terms in the entire sequence. The equation to find a sum of a geometric series is expressed using the Greek sign sigma, with a value above and below it indicating the number of terms in the series.

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Who are some famous French mathematicians?

The mathematical theory of probability was created in 1654 by two mathematicians after a gambling dispute. These mathematicians were Pascal and de Fermat. They were approached by a French nobleman who was concerned with the fairness of a favorite dice game. He was concerned that the dice were not being thrown enough times and wanted to make sure the probability was matching up with the risks he was taking with his money. Before de Fermat and Pascal were able to look at the chances and probability of dice games, there were no official records of any type of established probability theories. Som..

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What is rotational symmetry in capital letters?

The letters Z, S, H and N, when rotated 180 degrees clockwise or counterclockwise, will look the same after rotation completion. This is called rotational symmetry on the order of two, because there were two 90 degree rotations. The letter O has rotational symmetry on the order of one, because after being rotated by 90 degrees, it still looks the same.\n\nLetters can also have lines of symmetry, either vertically or horizontally. Examples of letters with a vertical line of symmetry include: A, H, I, M, O, T, U, V, W, X and Y. Examples of letters with a horizontal line of symmetry include B, C,..

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Why are statistics important?

Large sets of data can be complex, and understanding what the data means requires advanced analytical tools. Statistics is a set of tools than can inform experts dealing with complex information. Many medical studies rely on the p-value, which helps determine if a statistically significant effect is present at the end of a trial. Relatively new tools, like Bayesian analysis, can provide even better information.\nWhile politicians are often accused of implementing policy based on polling data, public opinion polls can help politicians determine what citizens want; however, public opinion polls ..

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What are the main steps in statistical investigation?

When being involved in a statistical investigation, it is important to determine the specific context that is particular to each group and pertains to the question at hand. Before proceeding, it is essential to determine what all of the variables are, and to minimize the amount of variables that may sway the results and create inaccuracies to emerge. Statistical investigation has been crowned as a highly structural approach to the problem-solving of various questions.

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What is the square root of one?

For example, the square root of 4 is 2, because 2 multiplied by itself equals 4. Likewise, the square root of 9 is 3, because 3 multiplied by itself, or squared, equals 9.\nThe concept of square roots dates back at least 3,600 years, as of 2014, to writing on a Babylonian clay tablet that shows approximate values for the square root of 2 by itself and multiplied by 30. The Egyptians also had a basic understanding of the operation of square roots, as shown by the Rhind Mathematical Papyrus.

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What is a geometric space figure ?

Three dimensional objects have width, length and height and can be made up of various geometric shapes. An example of a complex space figure is the rhombicosidodecahedron. It consists of 30 square faces, 20 triangle faces, 12 pentagon faces, 120 edges and 60 vertices. A rhombicosidodecahedron is an Archimedean solid and is considered a convex, isogonal, nonprismatic solid.

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