People use statistics daily for weather forecasts, predicting disease, preparing for emergencies, medical research, political campaigns, tracking sales, genetics, insurance, the stock market and quality testing. Statistics lends credibility to these industries and makes it easier to track different things in the industry.
The formulas of algebra are used every day in real life when distance needs to be determined, volumes in containers need to be figured out and when sale prices need to be calculated. When using a recipe and doubling it or cutting it in half, algebra is used to determine the exact amount of ingredients. Basic algebraic equations are used almost every day although people often do not realize it.
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 kilogram is approximately 2.20 pounds. The kilogram is the base unit the metric system uses for mass. Beginning in July 1959, the internationally accepted standard for the avoirdupois pound became exactly 0.45359237 kg.
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.
While people struggle with math for many reasons, one of the most common is that math is a sequential subject and missing one concept along the way leaves the student in a growing state of confusion. A child who struggles with basic arithmetic doesn't have the foundation for algebra or advanced math classes. Other math-haters struggle to connect math to real life or suffer from a learning disability with numbers.
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).
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.
The median is the number that is in the middle in a list of sorted numbers. To find the median, the numbers must be sorted from lowest to highest.
The abacus is a counting frame used since ancient times as a calculating device. The word abacus is derived from the Greek word "abax" meaning "flat surface."
A stack of one dollar bills equals $100 and measures .43 inches high, which means that $1 trillion dollar bills would stack to a height of approximately 67,866.16 miles. The moon is about 238,855 miles from the Earth, which would require a stack of $3.5 trillion dollar bills to reach.
In mathematics, an array is a set of numbers or objects placed in rows or columns. Arrays are often used to represent multiplication or division.
Greek mathematician Archimedes is widely considered by many to be the "father of mathematics." He is regarded as one of the leading scientists in classical antiquity and is credited with designing numerous innovative machines, including the screw pump and siege engines.
The abbreviations "sin," "cos," "tan," "csc," "sec" and "cot" stand for the six trigonometric functions: sine, cosine, tangent, cosecant, secant and cotangent. Each function represents a particular relationship between the measure of one of the angles and the ratio between two sides of a right triangle.
The class midpoint, or class mark, is calculated by adding the lower and upper limits of the class and dividing by two. The class midpoint is sometimes used as a representation of the entire class.
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 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 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.
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.
Several types of graphs are used for displaying information in mathematics including the bar graph; pie chart or circle graph; histogram; stem and leaf plot; dot plot; scatter plot; and time-series graphs. The type of graph chosen depends on whether the data is quantitative, qualitative or paired.
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 line graph is a graph that charts the relationship between two variables or a progression of a single quantity through time. Without the lines connecting points of data, it would be difficult to make sense of the data being presented if there was no overall trend between the dots. A bar graph, on the other hand, is meant to compare two or more statistics, such as population figures.
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.