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What are some examples of correlation coefficients?

A correlation coefficient that is equal to 0 demonstrates the weakest possible linear relationship between the components being examined. A value of either -1 or 1 represents the strongest possible correlation. The correlation is negative if one variable decreases as the other grows. This could be exemplified by the deer and deer hunter relationship. The number of deer will most likely decrease as the number of deer hunters increases. In the case of the Fahrenheit and Celsius temperature relationship, the correlation will always be positive because as one variable increases, so does the other.

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What are systems of linear inequalities?

Systems of linear inequalities must be solved simultaneously and lead to a set of variable values that satisfies all of the inequalities at once. When the numbers of variables and inequalities are equal, the system is guaranteed to have a unique solution, if a solution exists. If there are fewer variables than inequalities, the system may not have a solution. If there are more variables than inequalities, the system will have an infinite number of solutions.

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How many bales of hay can be harvested per acre?

Hay is a type of vegetation, generally grass that is grown, mown, dried and cut to be used as fodder for horses and other farm animals. The total yield that each hay field produces is determined by several factors, including the type of herbage, plant age at the time of harvest, fertilization plan, hay quality and bale weight, which refers to how tightly the hay is bundled.In western Oregon, low productivity hay pastures typically average around 2 tons, or 4,000 lbs. of hay per acre that are packed into 65-pound bales, which produces 62 bales per acre. For high productivity fields with excelle..

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What percent is one number of another?

Percent really means per hundred, so finding the percent really means what is the equivalent fraction for the two numbers out of 100. Percents are useful for showing how much of the total amount any number accounts for. They are important in math, science, accounting, and business because they help communicate the sizes of different variables. A calculator is an invaluable tool when calculating percentages because once the formula is known it is easy to enter the numbers and find percentages.

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What is a nautical distance calculator?

The speed of 1 nautical mile per hour is referred to as a knot. By using a nautical distance calculator, users are able to calculate how long a trip is expected to take by taking the nautical miles between two locations and then dividing by the average knots per hour. Nautical miles are normally used to calculate distances for coastal and ocean waters, while statute miles are used for inland areas. Seven nautical miles is roughly equivalent to eight statute miles.

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How do you complete the square?

Convert the quadratic equation into standard formThe standard form of a quadratic equation is ax^2 + bx + c.Move the constant, c, to the other side of the equationIf you begin with an equation of the form x^2 + 8x - 9 = 0, add 9 to both sides, leaving you with x^2 + 8x = 9.Halve the coefficient of x, square it, and add this to both sidesDoing this to our sample equation yields x^2 + 8x + 16 = 25.Rewrite the left side of the equation in simplified formHere, the simplified form of x^2 + 8x + 16 is (x + 4)^2. Take the square root of both sides of the equation and solve for xRemember that positiv..

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What is a Pythagorean triple?

There are an infinite amount of Pythagorean triples, although the smaller ones are much more common. The first three sets of Pythagorean triples are (3, 4, 5), (5, 12, 13) and (7, 24, 25). To verify that a set is a valid triple, square all of the numbers and add the two smallest terms together. For example, 3 and 4 squared are 9 and 16 respectively, added together equals 25, which is 5 squared.

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What is elimination in math?

The elimination method works best when both of the equations have the same variables, so that there are no errors in the process along the way. Eliminating the extra numerals requires that both equations are compared together directly, and it is difficult to attain a simple whole number solutions from this if the two equations are vastly different. The two equations are also assumed to have the same values in their variables.\nAnother algebraic solving method is called the substitution method. This method requires manipulating the equations and keeping them balanced throughout the process. Loo..

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What is 0.75 as a fraction?

Any decimal can be turned into a fraction by writing a denominator of one. In order to turn it into a fraction that only contains whole numbers, the fraction as a whole must be multiplied by a multiple of 10. If there is one number after the decimal place in the numerator, multiply both the top and bottom of the fraction by 10. If there are two numbers after the decimal place, multiply instead by 100. Multiply the original fraction by a multiple of 10 that will result in an integer.Fractions are typically reduced into lowest terms whenever possible by dividing by the largest common factor. The..

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How many tenths are in one inch?

In some contexts, a tenth of an inch can also be referred to as a line. That is, there are 10 lines in one inch. Inches represent just one of the commonly used units of length measurement in the Imperial system, which also includes the familiar measurement units of feet and miles. Twelve inches equal one foot. Three feet equal one yard, and 5,280 feet equal one mile. The Imperial measurement system also includes some less commonly used lengths such as furlongs and spans.

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