Help with Statistics Variance

Introduction to Statistics Variance calculator:
Calculator is a device, in which the given inputs are processed and the result is manipulated and gives the output for the input given. In the statistics variance calculators, when the given data set is put in the required input field, the calculator keeps processing the given input and gives the required output. Here some of the examples for the statistics variance calculators and steps for calculating the variance manually.

Definition Statistics Variance Calculator:
Definition of variance:
Variance is the measures of the summations of the total squared mean deviation value which is divided by the total number of values subtracted by one. For measuring the statistics variances we have to manipulate the mean value initially.This could also help us on graphing equations
Mean is the average of the given total numbers, total of all the given data set values to that divide it by the total given values in the data set.

Keep reading may be in the next session let me help you with exponents and radicals

Note on Homologous Structures

Introduction to examples of homologous structures :

The organs which are similar in structure and origin but dissimilar in function are called homologous organs and this phenomenon is called homology.
Examples of Homologous Organs from Plants and Animals

1. Thorns of bougainvillea and tendrils of cucurbita: The thorns of bougainvillea differ from the tendril of cucurbita in its function but both arise in axillary position as modified branches.

2.Pericarp: The wall of the ovary in flowering plants after fertilization of the ovules become modified in different ways to help in seed dispersal because wing like expansion for wind dispersal in maple ,fibrous and spongy in coconut for water dispersal and succulent in mango for animal dispersal.

3.Vertebrate fore limbs: The forelimbs of vertebrates such as seal, bird,bat ,horse man etc afford a good example for homologous organs. This could help us on hexagon shape
4.Insect mouth parts: In all the insects mouth parts include a labrum, a pair of mandibles, and 2 pairs of maxillae and these help in feeding.


I hope you liked my information on this article. Keep reading may be in the next session let me help you on area of circles problems

Examples of Mixtures

Introduction to examples of mixtures:
Mixtures

Mixtures are heterogeneous forms of matter.Mixture contains a combination of two or more elements or compounds mixed together without any chemical bonds.Mixtures can be combined with varying proportions of each substance. It can be separated into individual elements or compounds . Some common examples of the mixtures are soil, air, sea water etc.,There are two types of mixtures. They are

1. Homogeneous Mixture: All the components exist in a single phase and they are uniformly mixed. These mixtures are also called as solution.Potassium sulfide solution is a homogenous mixture.

2. Heterogeneous Mixture: The components exist in more than one phase. They are not uniformly mixed. A mixture of water and oil is heterogeneous in nature. This can also help us on what is a compound?

Properties of Mixtures:

* The composition of a mixture is variable.
* The compounds of a mixture retains its characteristic properties.
* Its components are easily separated

I hope you enjoyed reading on this article. Keep reading may be in the next session let me help you on Arithmetic Reasoning

Help on Unit Circle Chat

Unit circle:
As we had studied enough on circle and its types. Today let me help you on unit circle chat. A unit circle is a circle whose radius = 1 unit and center is ( 0,0). Angles are measured using this chart, angles measure clockwise would have positive values and angles measured in anticlockwise have negative values.

Following are the sample graph of unit circle chat.


On unit circle line inverse trigonometric functions are given as X = Cos and Y = sin
The value of sine is on the y coordinate of unit circle and value of cosine is on the x coordinate of unit circle. Using the unit circle any trigonometric function value can be calculated by using certain formulas. We divide the unit circle into 4 quadrants.

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Note on Meters to Centimeters

Introduction to meters to centimeters:

In this session let me help you on meters and centimeters.The meter is the basic unit in mathematics. The meter is used for calculating the distance. The symbol of meter is ‘m’.

The kilo meter is a unit of distance end to end in a metric system. It is the usually used measurement unit for expressing distances between geographical places in most of the world

One kilometer = 1000 meter

One meter = 1 * 100 centimeters

One kilometer = 1* 100000 centimeters

Examples for Meters to Centimeters:

This can also help us on mixtures

Example 1:

The Scale A 25 millimeter in one hour. The second scale B 8 millimeters in one ground. What is the difference between the Scale A and B?

Solution:

Here scale A and scale B having the speed in unusual units. Here we need to convert the speed in the equal unit and find the difference between Scale A and Scale B.

Scale A = one millimeter = 0.1 centimeter

So 25 millimeter = 25 * 0.1 = 2.5 centimeter

Scale B = 8 millimeter

Difference = 2.5 - 0.8 = 1.7 centimeter

Keep reading and leaver your comments. May ne in the next session let me help you on Examples on Probability

Differential Algebraic Equation

In this section let me help you on differential algebraic equation. keep reading and leave your comments. An equation is the combination of two expressions separated by an equal sign. In the equation the both sides of the equal sign has the same value.

For example,

2 + 18 = 4 * 5

Types of Equations

Fundamentals and types of Equations are :

Transcendental Equations

If f(x) is a polynomial in x, then f(x) = 0 is an algebraic equation.

Example; x7 + 5x - 2 = 0.

If f(x) contains algebraic and non algebraic functions namely exponential, logarithmic, trigonometric and inverse trigonometric functions then f(x) = 0 is called transcendental equation.

Example; x + log x + sin x=0. this will also help us on second order differential equations

Transcendental equations may have no root, exactly one root or more than one root.

Algebraic Equations:

Fundamental theorem on Algebra.

Every algebraic equation of degree n ≥ 1 has a root real or complex.

keep reading may be in the next session let me help you on homogeneous differential equations

Help on Linear Equation

Linear equation represent a straight line and it may be inclined or horizontal. The general format for a linear equation is as follows,

y = mx +b
where,
m = slope of the line (it is a number)

Working of a Linear Graph Solver:

once the enter button is pressed the linear solver accepts the linear equation given by the user and performs the following operations on it.

Step 1: The the given equation is y =ax+c. or x = ay +c.
Step 2: Assume first type y =ax+c. Since the given equation is a function of x, let y =f(x).
Step 3: Therefore f(x) = ax+c.
Step 4: It substitutes various values for ‘x’ and finds the corresponding value of f(x).
Step 5: It tabulates the values as columns x & f(x). The values of x as -2, -1, 0, 1, 2, 3 and for f(x), their corresponding values. will also help on algebra regents.
Step 6: The values in the table are the co-ordinates,
Step 7: It graphs the point and then joins them to give the graph.

This is only the introduction to Linear Equation. Keep reading may be in the next lesson let me help on Trigonometric Function

Steps for solving word problems

Word problem plays an important role in mathematic. Before i take you through on steps for solving word problems. let me help you understand what is word problem and how does it help mathematic.

What is word problem?

In mathematics education, a word problem is a mathematical question written without relying heavily on mathematics notation. Word problems commonly include mathematical modelling questions, where data and information about a certain system is given and a student is required to develop a model.This also plays an important role in algebra word problems.

Steps for solving word problems:-

Now let me help you go through the important steps to be followed in solving word problems before i take you through with the help of examples.

1) The problems are to be thoroughly read

2) The information given is to be listed and what is asked in the problem is to be clearly understood. An equation is to be formed with the information given. While forming equation key words are to be correctly noted for defining the correct operation like addition/subtraction/multiplication/division.

3) The equation is to be solved for knowing the variables.

Key words	Operation
Increased by, more than, combined together, total of, sum , added to	Addition
Key words	Operation
Less than, fewer than, reduced by, decreased by, difference of	Subtraction
Of, times, multiplied by	Multiplication
Per, a, out of, ratio of, quotient of, percent	Division

This was just a brief introduction to word problems. May be in the next lesson let me help you with a example so that you understand word problems in a better way. keep reading and leave your comments. And even if you have any doubts feel free to share with me .. i will be able to help you.

Understanding Polygons : Types of Polygon

A polygon is a two dimensional plane figure, bounded by line segments called as sides. A polygon can be classified as regular or irregular polygon, based on their sides. If all the sides are equal, then it is called as a regular polygon. An irregular polygon has unequal sides.
Hear are the few types of polygons -

1. Regular polygon,
2. Irregular polygon,
3. Convex Polygon,
4. Concave polygon,
5. Crossed polygon and
6. Equiangular polygon

Polygons can be classified as,
1. Convex and Concave polygon
2. Regular polygon
3. Congruent polygon
These are the types and classification of polygons..... I understand you still require a detailed explanation on all the types of polygons. keep reading.. we will try to learn that may be in the next lesson.

Examples of Congruent Triangles

we just learned on congruent triangles and now let me also help understand better with some examples on congruent triangles.

Examples of Congruent triangles:
The definition of congruent triangles describes only when the triangles are said to be congruent, and here are some examples of congruent triangles.

• If two line segments each measure 20 units, they are congruence segments.
• If two angles each measure 80 degrees, they are congruent angles, even if they are in different locations and facing different directions.
• If two triangles have sides measuring 4, 6, and 8 units, and their equivalent angles are congruent, then the triangles are congruence too
• If two polygons have 20 sides, and the corresponding sides and angles are congruent, then the polygons are congruent too.

I hope you got a good knowledge on congruent triangles. keep reading...... and if you are really keen on leaning math's and need help on any topics then leave your comments. I can help you understand better with my examples....

Note on Congruent Triangles

we were been trying to understand more on number sense and now.. let me help you understand on congruent Triangles.

Introduction:

The triangles are said to be congruent when all the subsequent sides and interior angles are congruent. The triangles will have same shape and size, but one may be a mirror image of other in the definition of triangles

Congruent Triangles:
Probably the most generally used example of congruence is the congruence of two triangles. Congruence in triangles is able to be proven using one of several rules. The rules for the definition of congruent triangles include side-angle-side, angle-side-angle, side-side-side, or angle-angle-side. The below definition gives the meaning of the congruent triangles.

• Side-angle-side – If the two sides and the included angle of one triangle are said to be congruent to two sides and the included angle of another triangle, the triangles are congruent.
• Angle-angle-side – If the two sides and then a non-included angle of one triangle are congruent to two sides and a non-included angle of another triangle, the triangles are congruent

Now you got an good understanding on congruent triangles. keep reading and leave your comments... may be on the next lesson.. let me share my knowledge on Examples of Congruent Triangles.