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What is the sum of squared deviations?

To arrive at the sum of squared deviations, or more simply, the sum of squares (SS), first the deviation of each number is calculated by subtracting it from the mean of all of the numbers. The individual deviation numbers are then squared and the squares are added. Finally, the added squared deviations are plugged into a formula used to calculate the overall sum of squares for a given data set.

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How do you find the area of a quadrilateral?

Find the height and width of the quadrilateralFor a square and a rectangle, identify the length of the base and one side. For a parallelogram, find the vertical height from the base to its parallel side. For a trapezoid, add the two parallel sides together to get the width and divide by two, then find the vertical height between those two sides. Find the diagonals for other quadrilateralsFor quadrilaterals such as a rhombus and a kite, find the diagonals. Identify the diagonals as the measurements between both sets of opposite angles. Multiply the two numbers and divide if necessaryMultiply th..

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What is DreamBox Math?

The learning engine that was designed into DreamBox Math is a feature that differentiates the program from other kindergarten through either grade student-interactive platforms, as noted in a review published by HomeschoolMath.net. The program contains an enormous number of different learning paths it can progress a student through, but the actual path that the learner takes is decided by the program through its click-by-click analysis of each individual student's progress. The program provides a customized curriculum for each learner by first determining that the student has fully master..

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What are some real-life examples of exponential growth?

Mathematicians and scientists use the term "exponential growth" to refer to any quantity that increases by a set proportion over a given period of time. The proportionate increase stays the same as the value of the quantity increases, so the quantity increases more quickly as it gets larger. This phenomenon is depicted in graphs of exponential growth as a characteristic j-shaped curve.\nIn the finance world, a savings account with an annual interest rate of r grows exponentially because the amount of money in the account increases annually by the proportion r. In population biology, any theore..

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How many faces are there in a square pyramid?

A square pyramid has a square base. Each side of the base is attached to a triangle, and all the triangles slant to meet at the top of the pyramid. The pyramid has five vertices, four on the base and one at the tip of the pyramid. The figure also has eight edges, four where the triangles attach to the base and four more at the sides, where the triangles attach to one another.

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How do you find the y-intercept of a line?

Write the equation of the line in standard formThe standard form of a linear equation is ax + by = c. The variables a and b are coefficients of x and y ordered pairs.Substitute 0 for the value of xThe y-intercept is the point of a line that lies on the y-axis, so x has to be 0. For example, if the equation 3x + 5y = 15 is present, you substitute 0 for x, so you only have to solve for y.Solve for yDivide both sides of the equation by the coefficient of y. Using the example, this would be 5, leaving y as 3.Plug both values into the original equation to see if it holds trueThe equation should loo..

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What is 200 degrees Celsius in Fahrenheit?

This formula is especially useful in the United States, where Fahrenheit remains the standard unit of temperature despite scientists favoring Celsius for its practical utility. Formerly known as centigrade, Celsius was originally based on the freezing point (0 degrees Celsius) and boiling point (100 degrees Celsius) of water, and degrees Celsius are also the same size as degrees Kelvin, another commonly used unit of temperature in science.

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What are Roman numerals?

Roman Numerals were not only used for counting the number of objects but also the order of people sharing the same name. For example, Pope Benedict XV was the 15th pope, and Pope Benedict XVI was the 16th pope.\nOne of the main problems with the Roman numeral system is that it does not contain a symbol for the number zero, which is one of the reasons it fell out of use.

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How do you set up an equation to solve for x with fractions?

Determine and simplify fractions in the equationWhen working with algebraic expressions, rewrite all division operations as fractions. \n\nDistribute coefficients applied to operations of x, so you can see what fractions are influencing x. For example, if you are given the equation y=(3x-4)/2, you can distribute the1/2 coefficient so the equation reads y=(3/2)*x-2.Isolate the x by cancelingFirst, subtract out any terms on the x-side of the equation that don't contain the x variable. For the equation y=(3/2)*x-2, subtract -2 (or add +2) to both sides, creating y+2=(3/2)*x.\n\nTo cancel a c..

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What is the derivative of e^-x?

The chain rule of derivatives states that a composite function's derivative can be found by multiplying the inside function's derivative and the outside function's derivative. In this example, the larger function is e, and the inside function is -x. The outside function's derivative in this case is e-x, and the inside function's derivative is -1. When multiplied, these give a resulting derivative of -e-x.

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