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Introduction to study material
Study Materials are knowledge/reference materials. Materials are used for studying/to prepare - for various exams, on various topics and/or based on subjects. The text books of all subjects of all grades are also termed as study materials. By study materials we mean text books, guide books, notes, computer websites and other reference books. Reference books or books based on topics are found in the school/college library.

Study Materials

Today apart from the study material in the form of books, computer plays a vital role in one's life. From students of primary level to college level, it plays a pivotal part. Its a source of information to students as well to elders. Students prepare notes on trinomial factor calculator the basis of various study materials so that during exam time they can just go through the notes. But now a days we find that there are many websites offering online study materials, well prepared by experts so that one can understand easily.
These days one need not have to search for reference text books in the markets. Study materials in the form of CD's on various subjects and topics are easily available Grammar Test. Engineering students, Medical students and students of other professional courses can now refer to various study materials available online. Study materials for competitive exams like IELTS, IAS, GATE, CAT, NET exam, MBA, IIT JEE, Bank clerical exam, IES are available in the form of text books/notes, in CD's and in websites.
The availability of study materials are immense. Apart from study materials available in the market, there are websites offering e-books for fields like Economics, Business, Management, Politics, Computer and others Step forward to math. Some offer free e-books and others on subscription. One needs to go through and understand in depth to get success. Students need not have to go out in search of study materials. Its available in his/her doorstep.

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An Arithmetic progression which consists of the sequence of numbers and the terms except the first can be obtained by adding one number to its preceding number sum of arithmetic series. Arithmetic progression is denoted as the arrangement of two consecutive numbers, the progression which is constant.

A general arithmetic progression is a, a+d,a+2d,a+3d,......

1st term is a

2nd term is a+d

3rd term = (a+d)+d = a+2d

4th term = (a+2d)+d = a+3d Do you need help with calculating percent yield

Similarly nth term is (a+(n-1)d).

So the formula is given for Common term t_n = a+(n-1)d.

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Incerdible Online Math

Algebra is a division of arithmetic designed to help solve definite types of issues faster & simpler. Exponential definition Algebra is based on the idea of unknown values called variables, example the number 47 always represents 47 units or 47 like arithmetic which is based entirely on known number values.
This topic introduces an important algebraic idea known as the Equation. The idea is that an equation represent a scale such as the one shown on the right.
The equation may even be balanced by a gizmo called a variable. Also look into variable calculator. A variable is an unknown number represented by any letter in the alphabet (often x).Types of equation are important & basic equations The worth of each variable must stay the same in each issue
Many symbols are used to relate all of the variables & constants together. These symbols are listed & explained below.Lets us learn math with creativity.You can also multiplying radical expressions.
• Multiply
* Multiply
/ Divide
+ Add or Positive
- Subtract or Negative
( ) Calculate what is inside of the parentheses first. (also called grouping symbols)

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Do You know that calculus homework help
Write first five terms of the sequence given by the rule a_n = (2n + 1) and obtain the corresponding series.
Solution:
We have, a_n = (2n + 1) ...... (1)
Putting n = 1, 2, 3, 4, 5, ..... successively in (1), we get precalculus tutorials
a₁ = (2 * 1 +1) = 3
a₂ = (2 * 2 +1) = 5
a₃ = (2 * 3 +1) = 7
a₄ = (2 * 4 +1) = 9
a₅ = (2 * 5 +1) = 11
Hence, the required sequence is 3, 5, 7, 9, 11, ......
The corresponding series is 3 + 5 + 7 + 9 + 11 + .....
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Growing up with Mathematics

Theorem on Isosceles Triangle defines that, If two sides of a triangle are equal, the angles opposite to them are equal.

In AB = AC



Draw AD, the bisector of to meet BC at D.

Proof of Isosceles Triangle Theorem Find free online tutors:

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The process of observing or recording a measurement under a given set of conditions is a trial or experiment. Outcomes of an experiment are called events. conditional probability calculator. The probability of an A, denoted by P ( A ) is the chance A will happen. Let us discuss what is conditional probability in this article.

Definition of Conditional Probability in Statistics

A set of conditions C the definition of the probability of an event. If no restrictions other than the conditions C are applied when calculating the probability P ( A ), then this probability is called unconditional.
But, in many cases, one has to arrive to the probability of an event under the condition that another event B whose probability is greater than Zero has already occurred.
" The probability of an even A , given that an event B has occured, is called the conditional probability of A given B and denoted by the symbol P ( A / B )."

Formula for Conditional Probability in Statistics

If the probability of an event B is greater than Zero then the conditional probability of an event A, given that the event B has occurred, is calculated by the formula and Ratio examples
P ( A / B ) = P(AB)/P(B)
where AB is the event that both A and B occur.
Similarly, If P ( A ) > 0, the conditional probability of an even B, given that the event A has occurred, is defined by the formula
P ( B / A ) = P(AB)/P(A)

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Introduction to prime number sieve

It is one of the oldest almost ancient methods for finding and list prime numbers. It may be useful to know a few facts about prime numbers before knowing what the prime number sieve is and be able to appreciate its sheer simplicity.

A Prime number can be defined either as a positive integer with exactly two factors one and itself; or alternatively as a positive integer that cannot be expressed as a product of two smaller numbers. It is worthwhile to note that 1 is not considered a prime number and exclusion of 1 is by definition. Irrespective of how one looks at the definition the concept of prime numbers has always attracted mathematicians and been subject of many researches.

Listing Prime Numbers Sieve:

The prime numbers for different reasons has always kept mathematicians busy. One of the oldest and commonest methods is by division, i.e. actual verification by division. It is Slow and time consuming to check each number one by one and accept or discard depending on the result.
Prime Number Sieve provides a faster and simpler tool to identify prime numbers quickly and accurately for compiling a list aslo need help with Number learning.Listing is important for its various applications. It acquired an added urgency when it was mathematically established that two very large prime numbers along with their product could be instrumental in creating virtually an unbreakable code As a result of these efforts lists of prime numbers up to ten digits are freely available.

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Introduction of circular functions:
Trigonometric functions or Circular functions the functions of an angle in a triangle. These are very helpful in the analysis of the properties of triangles and used to describe the relationship between the angles and side lengths of triangles.
Sine, cosine, tangent are the most popular circular functions co-secant, secant and cotangent are their respective reciprocals.
Need help with solving right triangles
On the basis of an angle in a triangle, the sine function gives the y-component of a triangle and cosine function gives the x-component. The tangent function gives the slope of a triangle.

Right Triangles for Circular Functions

If one of its angle is right angle or equal to 90 degree. The hypotenuse and the other two sides being leg₁ and leg_{2which is} opposite to the right angle ,in the Right triangle only then the triangle is said to be a right triangle .Also, find interesting topic on Solving math with formula

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Introduction of line graph pictures:

A pictures of graphs is one of the line charts. It is very easy to understand the data’s. We can compare two variables in line graph pictures. On Line graph pictures has each variable is plotting along each axis. A graph picture has a vertical and horizontal axis. Let we learn about line graph pictures.

Following statements are necessary for line graph pictures:
examples of line graphs.

• A line graph picture is a visually used to determine up to the frequency of incidence of different character of data.
• Give a summary of the data at top on line graph pictures (Title).
• Axes are known by what information is presenting on the each axes. It is representing data groups.
• They are best one to displaying information (values of data) and easy to make graph pictures.

Basic needs for graph pictures:

• We should give a clear summary about data and then place the title for them.
• First we may decide how to do a line graph with axis.
• Assign the value to horizontal axis and vertical axis.
• Apply the given data on vertical axis and horizontal axis. These are the basic steps for graph pictures.
• Also find some interesting content on Number learning

Math is Alpha Numeric data

Here you can get Statistics Homework Help

Statistics is the art of making effective use of numerical data relating to groups of individuals or experiments. It deals with not only the collection in all aspects,analysis and interpretation of such data, but also the planning of the collection of data, in terms of the design of surveys and experiments. Now we will see the statistics problems.

Find out the median,mean, mode and the range of these numbers?
14,18,20,27,30.
Solution
The given numbers are 14,18,20,27,30.
Mean
The mean is the average of the given number. with the help of the total value of given numbers we can find the average.
Sum of the given numbers are = 14+18+20+27+30
=109.
Now divide the total value with 5 (5 is the given numbers total) =
= 21.8
Median
Median is the central value of the given number series.
Need help with median formula
The number series is 14,18,20,27,30.
The central value of the above series is 20.
Therefore we can say the median is 20.
Mode
Mode is a duplicate value of the given number series. Here no same value.
So the solution of mode is null or empty.You can avail Free math deal
Range
From the highest value subtract the least value in the series.
Range= 30-14
= 16.

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Introduction of learning geometry quadrilaterals :

A learning geometry quadrilateral is the closed figure in a plane formed by four line segments online geometry tutoring. A learning geometry quadrilateral is a plane shape enclosed by four straight lines. Join the lines with opposite vertices are called diagonals of the quadrilateral.

A learning free geometry problems quadrilateral has four vertices, four sides, four angles and two diagonals. In learning geometry quadrilateral, the sum of all angles is 360°.

Types of learning geometry quadrilateral:

• Trapezium
• Parallelogram
• Rhombus
• Rectangle
• Square

Also refer for free geometry answers

Solving math with formula

You have studied about figures of different shapes such as squares,rectangles, triangles and quadrilaterals. You have also calculated perimeters and geometry help free the areas of some of these figures like rectangle, square etc. For instance, you can find the area and the perimeter of the floor of your classroom.

Let us take geometry problems free around the floor along its sides once; the distance we walk is its
perimeter. The size of the floor of the room is its area.

So, if your classroom is rectangular with length 10 m and width 8 m, its perimeter would be 2(10 m + 8 m) = 36 m and its area would be 10 m × 8 m, i.e., 80 m2. Unit of measurement for length or breadth is taken as meter (m) or centimeter (cm) etc. Unit of measurement for area of any plane figure is taken as square metre (m2) or square centimeter (cm2) etc.

Suppose geometry answers free that you are sitting in a triangular garden. How would you find its area?

Area of a triangle =1/2× base × height

Corresponding Angles

Do you know what are Corresponding Angles

In geometry, an angle (in full, plane angle) is the figure formed by two rays sharing a common endpoint, called the vertex of the angle. The magnitude of the angle is the "amount of rotation" that separates the two rays, and can be measured by considering the length of circular arc swept out when one ray is rotated about the vertex to coincide with the other (see "Measuring angles", below). Where there is no possibility of confusion, the term "angle" is used interchangeably for both the geometric configuration itself and for its angular magnitude. Now let us see about the corresponding angles

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When two lines are crossed by another one line (which is called the Transversal), the angles in matching corners are called corresponding angles.
The corresponding angles are not necessarily congruent, but if they are the coplanar lines are also parallel. In that, the corresponding angles are congruent, those angles can be used to determine the degrees of the other angles of the parallel lines.
Also find some useful hints on Least Common Multiple

Understand Misleading Graphs

Introduction:
Most of the students usually make two types of errors that show the way to misleading graphs. These errors are made in bar line graphs and in scatter plots. They pertain to the axes of these graphs.

• missing zero
• missing categories

These are the two types of errors. Let us learn the errors in the graphs with some sample examples.

Missing Zero in the Vertical Axis in Misleading Graphs:

In each bar graph, line graph, or scatter plot, the vertical axis must contain the zero. When zero is not revealed, then the vertical axis is supposed to pinch as a wrecked axis to show the absent part of the scale.
Changing the range of scale on the vertical axis clearly distorts the relative lengths of bars in a bar graph, the shape of line in a line graph, or the shape of the "dot cloud" in the scatter plot.

The vertical axis of every double bar graph, line graph, or scatter plot should hold the zero. When zero is not exposed, then the vertical axis is believed to dash as a broken axis to demonstrate the missing part of the range.

Hope you liked the above explanation. Please leave your comments, if you have any doubts.

Introduction to Statistics and Probability

Introduction:

In Mathematics, introduction to statistics and Probability is the possibility that rather will happen - how to be expected it is that some event will happen. Now and again you can measure a probability with a number: "10% chance of rain", or you know how to use words such as impossible, unlikely, and possible, even chance, likely and certain. when a coin is tossed there is a probability of getting head and tail possible outcomes for an experiment occur is sample space helps solving probability problems.

Statistics is the branch which is applied by mathematics, which deals with the scientific analysis of data. The word ‘Statistics’ is derived from Latin word ‘Status’ which means ‘political state’. In statistics introduction datas are in two types which are primary and secondary datas. Sometimes an investigator uses the primary data of another investigator collected for a different purpose. Such data are called statistics secondary data.

Statistics Properties:

Statistics deals with three properties, which are

• Mean
• Median
• Mode
  
  
  Hope you liked the above explanation. Please leave your comments, if you have any doubts.

List of prime numbers

Introduction:

Prime numbers are the numbers which can be divided only by 1 and the number itself. Prime numbers cannot have any other factors except one and the number by itself. The +ve(positive) integers are divided into two such as prime numbers and composite integers rules.

Totally there is 25 prime numbers between 1 and 100. So remaining are the composite numbers. Now we give the list of prime numbers upto 100.

The numbers are like

2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97

as the list shows there are 25 prime numbers between 1 to 100.

That twenty five prime numbers are in between 1-100, These numbers cannot be divided by any other number except 1 and the number itself. And the same is called prime numbers and includes the list of prime numbers.

List of Non Prime Numbers from:

Among natural numbers, composite numbers have other factors compared to prime numbers other than one and itself except the 25 prime numbers between 1 to 100 all the other numbers are composite numbers. All the numbers except the numbers in the list of prime numbers upto 100 are composite.

In that, the list of composite numbers 4,6,8,9,10,12,14,15,16,18,20,21,22,24,25,26,27,28,30,32,33,34,35,36,38,39,40,42,44,45,46,48,49,50,51,52,54,55,56,57,58,60,

62,63,64,65,66,68,69,70,72,74,75,76,77,78,80,81,82,84,85,86,87,88,90,91,92,93,94,95,96,98,99,100.......

These were the composite numbers between 1 to 100.

Hope you liked the above explanation. Further you can learn on prime-factorization. Please leave your comments, if you have any doubts.

Explain area of a circle calculator

Introduction:
In mathematics, a circle is the shape which is in the topic geometric shapes. The area of circle calculator is the calculator used to calculate the area value. The area value is calculated by using just one parameter in this area of circle calculator. The steps and formulas used in an area of circle calculator is given below.

Area of a Circle Calculator - Steps:

In geometry, the area of circle is based on only one dimension and it is known as radius (R). Area of a circle with radius R is given below.

The diagram for the circle is given below:

The formula used in area of circle calculator with radius R is given as,

Area = Π R²

Steps used in area of circle calculator are given below:

Step 1: Enter the value of radius in the particular box.

Step 2: After that press “calculate” button.

Step 3: After the calculation process the area value is display in the box.

Then you note the area value.

Hope you liked the above explanation of calculating and circles area. Please leave your comments, if you have any doubts.

How to graph Linear Equation in Two Variable

Introduction:
Graphing linear equation in two variables is as similar as graphing any linear equation so before learning about linear equations in two variables, the basic knowledge includes about constructing linear equations graph and what is rectangular axes etc.

Rectangular axes for Linear Equation Graph:

The position of a point in a plane is fixed by selecting two axes of reference which are formed by combining two number lines at right angles so that their zeros coincide.

The horizontal number line is called x-axis and the vertical number line is called y-axis.
The point of intersection of the two number lines is called origin.
The two number lines together are called rectangular axes.

Hope you liked the above explanation. Please leave your comments, if you have any doubts.

Data Correlation Analysis

Introduction:
The analysis of correlation in a bivaraite data is called Data Analysis Correlation. In the bivariate data if the change in the value of one variable is accompained by the change in the value of the other , then the variables are referred as related variables and this relation is called as correlation.

Correlation is an arithmetic technique to be able to show whether along with how powerfully pairs of variables be associated. Example, height and weight be associated; taller people be inclined toward exist heavier than shorter people.Even though this correlation is practically understandable your data can include unsuspected correlations. You may well also believe here are correlations, except don't recognize which are the strongest. An intelligent correlation analysis be able to lead to a greater accepting of your data.

Data Correlation Analysis for Correlation Coefficient

The major result of a correlation is calling the correlation coefficient "r". It ranges since 0 to +1.0. The nearer r is to +1 or -1, the further closely the two variables are associated. But r is close to 0, it way here is no connection between the variables.

If r is positive, it means to as one variable get larger the other gets larger. If r is negative it means to when one gets larger, the further gets smaller (frequently called an "inverse" correlation.

Examples -

1. Increase in the weight of a man with increase in age upto a definite period of time.
2. Fall in price of a commodity with rise in production or supply.
3. Increase in expenses with an increase in income.

Hope you liked the above explanation. Please leave your comments, if you have any doubts.

Special Right Triangles and Types

Introduction:
In mathematics, the special right triangles are triangle in the topic trigonometry. In trigonometry, the special right triangles are having three angles. In trigonometry, special right triangles are classified into two types. The names of the special right triangles are given as isosceles right triangles and scalene right triangles. The detailed explanations to solve the special right triangles are given below.

Special Right Triangles – Types:

Isosceles right triangles:

The diagram for these special right triangles is given below,

The angle measurements to solve these special right triangles are in 45-45-90. Where, 45-45-90 is another name for these special right triangles.
The ratio to solve the sides of these special right triangles is (1, 1, √ (2)).

Scalene right triangles:

The diagram for these special right triangles is given below,

The angle measurements to solve these special right triangles are in 30-60-90. Where, 30-60-90 is another name for these special right triangles.
The ratio to solve the sides of these special right triangles is (1, √ (3), 2).
Formula to solve the sides of the special right triangles is,
c² = a² + b²

Hope you liked the above explanation. Please leave your comments, if you have any doubts.