Statistics play an important role in research of almost any kind because they deal with easily-quantified data. When working in fields such as science or medicine, trials are needed, and experimental data has to be collected and analyzed. The study of statistics enables researchers to look at a large set of data and condense it into meaningful information.
A linear inequality is similar to a linear equation; however, where a linear equation has an equals sign, a linear inequality uses an inequality symbol. Inequality symbols include > (greater than), < (less than), ≤ (less than or equal to), ≥ (greater than or equal to) and ≠ (not equal to).
According to Dictionary.com, a curved line is a type of line that continuously bends without any angles. In the United States, the curve is often portrayed as a central angle measured using degrees.
The identity of the first person to discover that the ratio between the diameter and the circumference of a given circle is a constant will probably never be known. The search for that constant, commonly known as pi, goes back nearly 4,000 years, to the Egyptians and Babylonians.
The set of all points is called space. Space is taken as the largest possible set in geometry and algebra. Points, lines, line segments, rays, angles and planes are all considered as subsets of space.
A formula equation is a visual representation of a reaction using chemical formulas. A chemical formula is an expression that states the number and types of atoms that make up any given molecule using the symbols for the elements and sub-scripted numbers.
Quadratic equations govern many real world situations such as throwing a ball, calculating certain prices, construction, certain motions and electronics. They are most often used to describe motion of some sort.
Calculate the sum of an arithmetic sequence with the formula (n/2)(2a + (n-1)d). The sum is represented by the Greek letter sigma, while the variable a is the first value of the sequence, d is the difference between values in the sequence, and n is the number of terms in the series.
According to Saint Louis University, the ancient Egyptians created the square root and most likely used it for architecture, building pyramids and other daily activities that required math. Most of the present-day knowledge of Egyptian math comes from papyri written during the 12th dynasty.
In the United States, a roll of quarters is worth $10. It includes 40 quarters.
The Babylonian society used a cuneiform method of writing that included numerical characters; this is the earliest-known form of numbers, meaning that, as far as humans know, the Babylonians created numbers. This system of numerical writing is about 5,000 years old, and it is a base-60 system as opposed to a base-10 system, which is what most humans use for counting and mathematics in the modern world. Time measurements, in which an hour consists of 60 minutes and a minute consists of 60 seconds, are one example of a sexidecimal, or base-60, numerical system that is alive and well in the modern world.
A fraction is converted to a percentage by first expressing the fraction with a denominator of 100, then writing the numerator with a percent sign behind it. Some fractions can be easily converted if basic ratio equivalents are known.
One million has exactly 1,000 thousands in it. Simply divide the number 1,000,000 by 1,000 in order to find the answer to this math problem.
A nonlinear function in math creates a graph that is not a straight line, according to Columbia University. Three nonlinear functions commonly used in business applications include exponential functions, parabolic functions and demand functions. Quadratic functions are common nonlinear equations that form parabolas on a two-dimensional graph.
A few examples of how logarithms are used in the real world include measuring the magnitude of earthquakes or the intensity of sound and determining acidity. A logarithm explains how many times a number is multiplied to a power to reach another number. It is expressed as loge(x) and is commonly written as ln(x).
To calculate bulk density, simply weigh the sample and divide its mass by its volume. Bulk density is commonly used when referring to solid mixtures like soil. Just like particle density, bulk density is also measured in mass per volume.
A Pythagorean triple is a set of three positive integers, (a, b, c), such that a right triangle can be formed with the legs a and b and the hypotenuse c. The most common Pythagorean triples are (3, 4, 5), (5, 12, 13), (8, 15, 17) and (7, 24, 25).
A Riemann sum is a method of approximating the area under the curve of a function. It adds together a series of values taken at different points of that function and multiplies them by the intervals between points. The midpoint Riemann sum uses the x-value in the middle of each of the intervals.
According to class notes from Bunker Hill Community College, calculus is often used in medicine in the field of pharmacology to determine the best dosage of a drug that is administered and its rate of dissolving. Usually, the drug is slowly dissolved in the stomach.
A segmented bar graph is similar to regular bar graph except the bars are made of different segments that are represented visually through colored sections. A segmented bar graph is sometimes known as a stacked bar graph, and it offers greater detail about data sets.
Numerical data is data that is expressed with digits as opposed to letters or words. For example, the weight of a desk or the height of a building is numerical data.
Graphs are beneficial because they summarize and display information in a manner that is easy for most people to comprehend. Graphs are used in many academic disciplines, including math, hard sciences and social sciences. They make appearances in corporate settings, serving as useful tools to convey financial information and facilitate data analysis.
A bar graph is used to compare items between different groups and track changes over a period of time. Bar graphs are best used for changes that happen over a large amount of time instead of just months or weeks.
To make a tally chart, single lines are drawn next to one another until reaching five, where the fifth line crosses the four other lines diagonally. This is a simple charting method that can be used quickly for surveys or other needs.
Graphs of various types provide convenient visual representations of scientific data that would otherwise be presented in intimidating blocks of text or a series of numbers. Graphs represent statistics such as changes over time, comparisons, or parts of a whole. Graphs can be used to make date more accessible to both scientists and laypersons.