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What does "average" mean in mathematics?

An example of how to find the average of the given set of numbers 1, 3, 5, 7 and 4 is to add these numbers to get 20, and then divide 20 by 5 (the amount of numbers in the set) to get 4 as the average.\nWhile the number in the middle of a set is called the median value, the mode is the number that most often repeats in a set. In the example, 5 would be the median, and there is no mode.

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Why does the inequality sign change when both sides are multiplied or divided by a negative number?

Positive numbers are greater than zero, and are denoted with a + sign or no sign at all. Negative numbers are less than zero, and they're denoted with a - sign. As positive numbers increase in magnitude, they become larger. For instance, 3 is greater than 2, which is greater than 1. As negative numbers increase in magnitude, they become smaller. Therefore, -3 is smaller than -2, and -2 is smaller than -1.\nAn inequality equation compares the values of both sides of an equation. When both sides of an inequality equation reverse signs because they've been multiplied or divided by a neg..

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What are the 25 prime numbers between 1 and 100?

Greek mathematicians studied prime numbers as far back as 300 BCE when Euclid published a series of theorems in his treatise "Elements." Euclid's work demonstrated that all non-prime numbers, or composites, are made up of a unique combination of prime numbers. In other words, a series of prime numbers can be multiplied to produce each composite number. For example, 2 x 3 = 6, and 2 x 2 x 3 = 12.\nMathematician Eratosthenes designed a rudimentary algorithm in 200 BCE that used a grid system to quickly sort out divisible numbers. The series of prime numbers is considered infinite, and as of..

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Who discovered the golden ratio?

The golden ratio refers to a specific ratio between two numbers which is the same as the ratio of the sum of those numbers to the larger of the two original quantities. This can also be expressed as "a plus b is to a as a is to b" assuming that "a is greater than b and b is greater than zero." The value of the golden ratio is an irrational number, which is 1.6180339887...., and is often represented by the Greek letter "phi." Because the geometric shapes and designs whose proportions exhibit this ratio appear pleasing to the eye and are frequently found in nature, the golden ratio has also been..

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How do you find the zeros of a function?

Begin breaking down polynomials into binomialsBinomials are two-term expressions such as x + 1, 5x - 3, or 2y + 4. When given a trinomial, determine what factors of the last term add up to make the second term. For example, when given the term x^2 - 6x + 9, the factors of 9 that add up to -6 are -3 and -3. Therefore, this trinomial can be broken into (x - 3)(x - 3).Cancel out like terms in the numerator and denominatorIf for example the expression x^2 - 6x + 9/x^2 - 2x - 15 is factored, it ends up as (x - 3)(x + 3)/(x - 5)(x + 3). The x + 3 terms cancel out because they equal 1 and serve no pu..

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What comes in groups of eight?

The number of hot dog buns in a pack is attributable to the fact that buns are usually baked in pans that can hold eight buns. The eight-bun pan is popular among bakers.Spiders and octopuses also have eight limbs each. In the spider's case, all eight limbs are legs. In the case of the octopus, there are six arms and two legs, making eight limbs total. Spiders differentiate themselves from insects by having eight legs. In the case of insects, there are generally only six legs.

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