Math

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What is the definition of "presentation of data"?

To present a large amount of data in an understandable format, researchers often condense the results into groups. The groupings are referred to as "classes," and the size of each class is called a "class width" or "class size." A class width features a lower class limit and upper class limit. So, in the class 30-39, "30" represents the lower class limit while "39" denotes the upper class limit. This kind of data are condensed into tabular form or subsets for demonstration purposes.\nThe University of Leicester supports the idea of presenting data using tables. However, according to the school..

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How do you measure effectiveness and efficiency?

Measuring efficiency and effectiveness takes time on a sliding scale. These measurements refer to systems, hardware, applications and individuals within the organization. They also require looking at the impact of these implementations on customer audiences.\nEfficiency is much faster and easier to measure. It requires short-term comparisons of performance metrics for various systems under scrutiny. Measuring efficiency is basically looking at how many steps it takes to get from the start of a task to the end, as well as how quickly these actions are completed.\nEffectiveness is concerned with..

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In what real-life situations would you use polynomials?

Newtonian mechanics demonstrates that the displacement of an object in free fall is given by the relation\nD = v?i*t + ½ *a*t^2 , where D is the displacement, vi is the initial velocity, a is the acceleration, and t is the time. This displacement equation is a polynomial expression. Polynomials enable people to describe the physical world. For example, assume that a ball is released from rest at the top of a building measuring 8.52 meters tall. How long does it take for that ball to reach the ground? Using the displacement equation above and solving for t, where D = 8.52 meters and a = -9.8 m..

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How many milligrams are in a gallon?

A milligram is a unit used to measure mass, and a gallon is used to measure volume. For water, 1 milligram takes up exactly 1 cubic centimeter. According to UnitConversion.org, 1 gallon is equal to 3785.411784 cubic centimeters. Not all substances have this convenient conversion, however. Other substances have different densities. Density is a ratio of units mass per unit volume. Density can be affected by air pressure, so depending on the altitude at which the measurement is taken, the previously stated conversion of water may not be accurate.

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How many degrees are in a right angle?

Right angles have their own symbol, which is a square in the corner where the two lines of the angle meet. Math has six kinds of angles: acute, right, obtuse, straight, reflex and full. Acute and obtuse angles are defined in relation to right angles, as acute angles are less than 90 degrees and obtuse angles are between 90 and 180 degrees. A straight angle is exactly 180 degrees, and a full angle is exactly 360 degrees. Reflex angles fall between 180 and 360 degrees.

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How many degrees are in a pentagon?

A pentagon can be either concave or convex. Concave pentagons have at least one internal angle greater than 180 degrees. This means the angle points inward on the pentagon. Convex polygons do not have any internal angles greater than 180 degrees.\nTo qualify as a pentagon, a polygon must have five straight sides connected to each other. If it's not a closed shape, it's not a pentagon even if it has five sides.

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What is a linear relationship?

Positive linear relationships involve the two variables moving in the same direction. Both variables either increase or decrease with each unit change. In a negative linear relationship, an increase or decrease in one variable correlates to a decrease or increase in the other variable. The variables move in opposition of one another.

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What is the easiest way to convert a decimal to a fraction?

Lacking immediate access to a computer, the following procedure is the easiest method for converting a decimal to a fraction. First take the fraction and divide it by one. For instance, if your decimal were 0.125 then you would write this as 0.125/1. Now, multiply both the numerator (the top number, 0.125) and the denominator (the bottom number, 1) by multiples of ten until all the decimal places in the numerator have been removed. In this instance, you multiply each number 10 x 10 x 10, resulting in the fraction 125/1000. Finally, you simplify this fraction by finding whole integers that both..

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What is a derived quantity?

Most derived quantities have been assigned special names and symbols because of their complexity of presenting them using base units. An example of this is the newton, which is a unit of force that equates to the amount of force needed to accelerate 1 kilogram by 1 meter per second per second. Two of the derived quantities, the radian and steradian, are dimensionless.

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What are "friendly numbers" in math?

Wolfram's MathWorld explains that any numbers that are not friendly are known as solitary numbers. The Daily Caller discusses the fact that friendly numbers are a concept that was introduced by the common core system in public schools. The common core is a controversial system designed to simplify math, although there has been significant criticism of its ability to achieve that goal. Friendly numbers are used to make a complicated math problem simpler to solve. For example, the Daily Caller explains that a problem in which the student is asked to subtract 270 from 530 could be made simpl..

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