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Introduction Constructing ASA triangles explains to construct a triangle where the measure of two angles and one of the side lengths is given to us. Geometry is the branch of mathematics that deals with properties & relations of points, lines, surfaces & solids. Also, it deals with geometrical construction. Geometrical construction is constructing or drawing geometrical figures like lines, line segments, triangles, circles & quadrilaterals etc. There are several methods of constructing geometrical figures. We can construct geometrical figures by using geometrical instruments like ruler, protractor, compass, divider & set squares. Triangles are mostly constructed by using a ruler, protractor ... Read More
Introduction Continuity and discontinuity can be defined as properties of functions that are used in statistics to predict or estimate values. Mathematical functions can be categorised into two types − continuous and discontinuous variables. Continuity is the property of functions that can be shown on a graph without breaking. Discontinuity, on the other hand, is a property of functions which have unconnected points on a graph. In this tutorial, we will understand the concept of continuity and discontinuity along with examples. Continuity In nature, continuity is seen all around us. For example, the flow of rivers, time etc., are some ... Read More
Introduction Continuous variables are the ones which in between any two numeric values have an infinite number of values. Variables in statistics can be quantitative variables, which define the quantity of measurement. Quantitative measurement can further be divided into continuous variables and discrete variables. Such variables are used widely in statistical research and tools. In this tutorial, we will learn about variables and its types, continuity, and continuous variables along with some solved examples. Variables In statistics, a variable may be defined as a term that represents an unknown value which is not fixed and is in numerical form. Variables ... Read More
Introduction Cross multiplication method is used to solve linear equation in two variables. An algebraic equation in the form of $\mathrm{y\:=\:mx\:+\:b}$ is called a Linear equation. In this equation m is the slope, b is the intercept. x and y is the distance of this line from x-axis and y-axis. The solution of each equation represents a point on the line. An equation in the form of $\mathrm{ax\:+\:by\:+\:c\:=\:0}$ where a, b, c are real numbers, and the values of both a and b are not zero. Now this equation will be called the linear equation in two variables x and ... Read More
Introduction Comparison of ratios means comparing the relationship between two or more ratios. Finding out how many times one number is greater than the other is required if you are comparing two numbers. Or, to put it another way, we must represent one number as a fraction of the other. Unitary methods are used to calculate single unit values from given multiples. This method is commonly used to demonstrate the notion of ratio and proportion. In this tutorial, we will discuss the comparison of ratios. Proportions: Comparing Ratios Ratio The ratio is a divisional comparison of two numbers or ... Read More
Introduction A compound statement is a collection of two or more statements joined together using terms like "or, " "and, " "if-then, " and "only if." A statement is the fundamental building block of mathematical reasoning, which is a deductive process. The statements used in reasoning may be compound, meaning they may combine two or more separate statements. In mathematical reasoning issues, some particular words or phrases, such as And, Or, etc., are employed to form compound propositions. These are referred to as connectives. To answer questions relating to mathematical reasoning, conjunctions like AND, disjunctions like OR, and so on ... Read More
Introduction Concentric circles, congruent circles & tangent circles are the types of circles. The circle is one of the basic shape in geometry. It is a closed two-dimensional shape formed due to points that are placed equidistant from the central point. The word circle is derived from the Greek word Kirkos it means “hoop” or “ring”. A circle divide a plane interior i.e inside a circle & exterior i.e outside a circle. A circle is measured in the term of its radius. Congruent circles, concentric circles, intersecting circles & tangent circles are different types of circles. In this tutorial, we ... Read More
Introduction Conditional probability is defined as the likelihood of an event or outcome occurring, based on the occurrence of a previous event or outcome. In this tutorial, we will learn about Probability, Dependent and Independent Events, Conditional Probability and Conditional Probability theorem. We will also learn about Multiplication Rule in Probability and Total Probability and Bayes’ theorem. The probability of an event occurring given that another event has already occurred is known as conditional probability. For Conditional probability the events has to be dependent. Dependent events are the events where the occurrence of one event causes change in the probability ... Read More
Introduction Consecutive integers are those integers that follow each other in a particular sequence or order. Natural numbers, whole numbers, rational & irrational numbers, real numbers & integers are some types of numbers. Integers are the set of whole positive & negative numbers with zero. ‘Integer’ is a Latin word which means whole or complete. This means fractional or decimal numbers are not included in integers. For example, 1, −5, 4, 9, −6. We can carry out basic arithmetic operations i.e addition, subtraction, multiplication & division on integers. Consecutive integers are those numbers that follow each other in a ... Read More
Introduction The binary division is a method to divide one binary number from another binary number. Binary numbers can undergo the four major arithmetic operations addition, division, subtraction, and multiplication-like numbers. The binary division is similar to the division of decimal numbers, while in the case of decimal numbers, there were 0-9, 10 digits. Here, in the case of binary numbers, there are only two digits 0 and 1.The long division method is one of the significant methods used in binary division. Definition Binary Numbers: The word ‘bi’ means two so, it is a number system that is used ... Read More
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