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What is a mediating variable?

Mediating variables are statistically significant when the relationship between two variables becomes nonsignificant when the mediating variable is introduced into the statistical model. Mediating variables are defined in contrast to moderator variables. Moderator variables change the strength or the nature of the relationship between a predictor variable and an outcome variable. Moderator variables explain the conditions in which an effect occurs. Moderator variables can increase or decrease the strength between a predictor and outcome variable or reverse the relationship altogether.

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What are 3-D shapes?

Single-dimensional shapes exist only in one dimension, which means that they only possess length. Two-dimensional shapes have two dimensions, including length and width. These shapes are always flat. Examples of 2-D shapes are squares, triangles and circles. By adding an additional dimension to these 2-D shapes, many 3-D shapes can be constructed, such as cubes, pyramids and spheres. The mathematical term for a solid 3-D shape is "polyhedron."

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What is the Lagrange remainder?

The Lagrange remainder may sometimes refer to the remainder when terms in the Taylor series are taken up the second last power. Lagrange's remainder is applicable to the binomial series studied by Jean d'Alembert, as it provides solutions to pertinent questions such as, determining what happens when X is equal to one. It also provides accurate answers as to the exact number of terms that must be taken when a series converges for the attainment of the desired accuracy.\nIt also clarifies on the degree of accuracy, which can be obtained once a series diverges. The Lagrange remainder is..

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What is the square root of 106?

For the number 106, the formula for the square root is expressed as 10.29 times 10.29 equals 106. Graphing calculators contain the function to determine the square root, as many basic calculators do not offer that function. Although sometimes a number can be simplified to determine the square root by factoring out the square of a whole number, the square of 106 can not be simplified.

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What are the advantages and disadvantages of a graph?

Graphs have several purposes, including showing and comparing data and illustrating facts. Seven main types of graphs exist: the bar or pareto graph, the pie chart or circle graph, the histogram, stem and leaf plots, dot plots, scatterplots, and time-series graphs. Bar or pareto graphs show a bar for each category or set of data that is qualitative. Pie graphs show data in the form of a pie, and each piece of the pie represents a different data set. Histograms look similar to bar graphs, and they illustrate quantitative and not qualitative data. Stem and leaf plots illustrate quantitative data..

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What is a three-dimensional trapezoid called?

The three-dimensional figure sides are its flat surfaces. The edges are where the faces meet, and the vertices are the corners or points where three or more surfaces meet. The volume of a three-dimensional object is the amount of cubic space inside the shape, and it is measured in cubic units, such as cubic inches or cubic gallons. Some of the common types of three-dimensional figures are cone, cube, sphere, pyramid and cylinder.

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How do you find solutions for the math problems in Algebra With Pizzazz?

Algebra With Pizzazz is part of a three-book series by Steve Marcy, released under the Marcy Mathworks publication umbrella. The series also includes Middle School Math With Pizzazz and Pre-Algebra With Pizzazz. Each book contains puzzles and riddles to help supplement and reinforce a pre-established math curriculum.\nAccording to Amazon reviews, those who purchase Algebra With Pizzazz are generally happy with the product. An algebra teacher of eight years raves about the book in her review, stating that the puzzles help to reinforce the lessons taught in class, and that some of the activities..

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How do you find the area of a circle?

An easy way to measure the radius is to measure the distance across the entire circle (called the diameter) and then cut that in half. Multiply that by itself, and then multiply the product by the number ?. The digits of ? go on forever, but here are the first 10 digits: 3.141592653. The more digits you use, the more accurate your answer becomes.\nIt is important not to get this equation mixed up with C=2?r, which gives you the circumference or the length of the edge of the circle. The equation for the area of a circle is also often confused with the equation A=4?r^2, which gives you the surfa..

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How is the scale factor obtained?

A scaled up or scaled down shape is identical to the original shape in terms of number of sides and size of internal angles. The original and scaled shape can be matched up based on the equivalent angles. The scale factor is calculated dividing a side on the resulting shape by the matching side on the original. The lengths of other sides on the scaled shape can be calculated by multiplying other sides of the original by the scale factor.

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How do I subtract percentages?

Alternatively, an employee may first calculate the actual tax (basic pay x 27/100) and then subtract it from the basic pay. If a buyer pays $7.61 for an item that was priced at $6.95, the applicable percentage sales tax (x) is calculated as follows: x = (7.61- 6.95)/ 6.95; x = 9.5 percent.\nMathematically, a percentage of any value means the value multiplied by the percentage in its decimal form. For example, 35 percent of 80 means 0.35 x 80. It’s also possible to calculate a percentage rate of a value if the actual fraction is known. For example, if x represents a percent of 20 that equals ..

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