Introduction Probability is the possibility of happening an event. In the other words, it is the ratio of the total number of favorable outcomes to the total number of favorable outcomes and if the probability is one it means an event is a sure event or if the probability is zero then it means that event will not happen. Probability is simply a useful description (in the form of a mathematical model) for experiments whose exact outcome is difficult to predict in advance When you toss a coin, it's tough to know in advance if a head or a ... Read More

Introduction Before we learn about multiple linear regression, let us understand what linear regression is. Linear regression helps in determining the relationship between two variables in data sets. As already stated linear regression has its limitation to two variables. Therefore, multiple linear regression helps in determining the relationship between more than two variables. Though multiple linear regression cannot overcome the weakness of linear regression, multiple linear regression is used to make a regression model with multiple independent variables and single dependent variable. Multiple linear regression is used most importantly in econometrics and financial inference. Definition Simple ... Read More

Introduction Usually, various physical entities are expressed in a mathematical equation that includes several variables. A function can represent the nature of variables during the process. A function can be graphically presented between the variable and the desired response. However, most of the time, we need to find the specific points at which the function gives a maximum and a minimum value. In this direction, the derivative test, which is a fundamental concept of calculus, is found to be quite helpful. In this tutorial, we will learn about the derivative, its application in optimization, and the determination of maxima and ... Read More

Introduction There are two methods of integration − Deterministic integration and Indefinite integration. Definitive integration is performed on boundaries or areas specified by boundaries. Since the curve is finite, the area under the curve is also said to be finite, but indefinite integrals are used for functions that have no upper or lower bound, but because the function is essentially infinite, the upper bound and the lower limit is indefinite. Functions + ∞ & -∞. Integrals In differential calculus we are concerned with the methods of finding the derivative (or differential) of a differentiable function. ... Read More

Introduction In statistical mathematics population can mean a set of observations or objects. Population, in statistics and quantitative methodology, can be defined as a collection of data satisfying specific conditions. A sample can be defined as a group of observations from a population. The sample size is always less than the size of the population. Non-probability sampling can further be divided into quota sampling, judgement sampling, and purposive sampling. Population and sample are used in market research widely in inferring behaviour of a population. Statistical analysis in financial decisions also implements population and sample. In this tutorial ... Read More

Introduction Place value is the foundation for understanding number systems in mathematics. Place value helps in understanding the base 10 number system. Place value worksheet is an important tool to understand the concept, and helps students develop logical, problem-solving and reasoning skills. Place Value Each digit in a multi-digit number has a specific position in that number, which is defined by the base 10 number system. When a multi-digit number is written in numerical form, the position of a number can vary from unit to infinity. Place Value Chart For a 10-digit number, the following table represents the placement of ... Read More

Introduction Many people find math a difficult subject. You have to ask about the benefits of studying mathematics and the practical application of mathematics. Mathematics is ubiquitous, as is the relationship between the meaning of numbers and everyday life. Mathematics is all about numbers, and numbers can be categorized into different types of numbers, including Integers, real numbers, complex numbers, rational numbers, irrational numbers, and many others. Negative Numbers Neither the negative numbers are greater than nor are equal to zero. They are the numbers along with a minus sign or a hyphen (-). On the number line, negative numbers ... Read More

Introduction The midpoint theorem in geometry helps in determining the sides of triangles that are missing values. It establishes a link between a triangle's sides and the line segment created by any two of the triangle's sides' midpoints. A line that connects two places has a midpoint in the middle of the line. The centre of a line is located halfway between its two endpoints. A line connecting these two places has a midpoint at the point where it is divided into two equal pieces. A second line that was drawn to divide the two regions in half also runs ... Read More

Introduction The section formula can be applied to a line segment located in 2D or 3D. The division of a line segment is a method or process in which the line segment is divided into several parts (equal or non-equal). Points are used to divide a line segment. It is an important method used in coordinate geometry to determine the centroid, incenter, and excenter of a triangle. In this tutorial, we will discuss the 3D geometry, section formula, and distance formula with solved examples. 3D Coordinate Geometry The 3D coordinate geometry represents the geometrical figures in 3D space. It requires ... Read More

Introduction In calculus, Derivatives are a basic tool in solving problems and differential equations. Derivatives are used as a tool by scientists to analyse dynamic systems to determine the change in variables, and use this to frame differential equations, and use integration to predict the future changes. To put simply, a second-order derivative is the two consequent derivatives of a function, or it is the derivative of the first order derivative of that function. In this tutorial, we will learn about derivatives, order of derivatives, second order derivatives, second order derivatives of parametric functions, and some solved examples. Derivative Derivative ... Read More