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Introduction Ratio examples :

A ratio is a comparison of two numbers. They usually separate the two numbers in the ratio with a colon (:). Suppose they would like to write the ratio of 8 & 12.
They can write this as 8:12 or as a fraction 8/12, & they say the ratio is two to twelve.

Examples:

Jeannine has a bag with 3 cassettes, 4 marbles, 7 books, & 1 orange.

1) What is the ratio of books to marbles?

Expressed as a fraction, with the numerator = the first quantity & the denominator equal to the second, the answer would be 7/4.for more help with mean and standard deviation

Two other ways of writing the ratio are 7 to 4, & 7:4.

2) What is the ratio of cassettes to the total number of items in the bag?

There's 3 cassettes & 3 + 4 + 7 + 1 = 15 items total. Do you know Vast math knowledge

The answer can be expressed as 3/15, 3 to 15, or 3:15.

Math Question and Answer

Factoring of polynomials is the inverse process of multiplying polynomials. After factoring a polynomial, then divide the polynomial with the factors then the remainder will be zero.
Consider the identity a² - b² = (a + b)(a - b).In this identity a² - b² is the polynomial and a + b and a - b are the factors.
If we divide the polynomial with a + b or a - b then the remainder is 0.
Let us learn about factoring quadratic polynomial. Quadratic polynomial has three terms.They can be factored in three ways.
1. Factoring by grouping
2. completing the square
3. Using quadratic formula.
Some of the identities used while factoring polynomials are

• a² + 2ab + b² = (a + b)²
• a² - 2ab + b² = (a - b)²
• a² - b² = (a + b)(a - b)
• x² + x(a + b) + ab=(x + a)(x + b)
• a³ + b³ = (a + b)(a² - ab + b²)
• a³ - b³ = (a - b)(a² + ab + b²)

How to Factor Polynomials

Let us study the steps to factor a polynomial by grouping method.
First find if there is any common factor in all the terms in the given polynomial or try to find the GCD of all the terms in the polynomial and take it out and write the remaining terms in a ().
Check with any above and try to write the factors.
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Growing up with Mathematics

Let us learn how to add fractions
Adding fractions is of 2 kinds, - Adding fractions with same denominators.
- Adding fractions with different denominator
Below are the steps to show how to add fractions.
Adding fractions is very simple task it needs LCM technique to add fractions. And it also contains following method
Example: If c/a & d/b are the fractions then ab is the least common multiple of a and b.
c/a + d/b
Now divide LCM ab with a = ab/a = b and multiply with its numerator c = b x c = bc
Now again divide LCM ab with b = ab/b = a and multiply it with its numerator d = a x d = ad
Now we get
c/a + d/b = (bc + ad)/ab

How to add fractions online

Adding fractions online is the system that used to add the fractions in online. How to add fractions online teaches a clear way to calculate the fractions i.e. how to add fractions online.
Steps involved in fraction adding online:
• Need to enter the fractions in given fields.
• Ask for the desired answer.
• Check the answer.
It gives out the result instantly.
Example:
1/10 + 2/6 = ? LCM = 30
(6 + 20)/30 = 26/30
= 13/15.

Familiarization with math

Introduction to ks-1 math problem tutoring

In this article we are teaching about ks-1 mathematics problems and let we show how to solve them. Ks-1 (key stage) topic is covered 1^st and 2^nd grade lesson. This math worksheet is very useful to improve your problem solving ability.

Here you can get tutoring for math terms, Exam practices test, problem solving and online test. This topic based on Place value,missing numbers and word problem etc. Let us see Ks-1 mathematic problems.

Mathematic Problems:

Problem1: Ks-1 mathematic problem tutoring
What number has 3 hundreds,2 thousands, 8 tens, and 3 ones?
Solution:
In this problem we can write like numbers year 9 maths
Step 1: remember the place values.
2 thousands | 3 hundreds | 8 tens | 3 ones
Step 2: therefore 2383.
Here we deal Only mathematics

Step forward to math

Introduction to fraction problems.
A fraction is a number that can represent part of a whole. Reciprocals of integers were Fractions: ancient symbols representing one part of two, one part of three, one part of four, and so on. A "vulgar" fractions or development were the common which are still used today (½, ⅝, ¾, etc.)
Need help with adding fraction

Fraction Problems:

Solve
Solution:
The given two fractions +
We need to add the fractions

=
=
This can be simplified has
=
Answers the fraction (6/22)+(4/22)=1/2 or 0.5
Free Math online study can be availed here....

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Introduction to Types of data analysis:

Analysis of an data is a process of inspecting, cleaning, transforming, and modeling data with the goal of highlighting useful information, suggesting conclusions, and supporting decision making. Data analysis has been multiple facets and approaches, encompassing diverse techniques under a variety of names, in different business, science, and social science domains.And now we see about the types of data analysis.

Types of Data Analysis

Two types namely:

• Qualitative Analysis :

The method of analyzing the information which can be supported through qualitative analyses are called qualitative analysis

• Quantitative Analysis:

The method of understanding the mathematics in correct way are called the quantitative analysis and it involves some basis on natural statistics

Process on Data Analysis:

The some of the process in data analysis are limitations of ratio analysis
Data cleaning:
Data cleaning is a major method for the interval of in which the data are tested, and wrong data are if essential, preferable, and feasible corrected.
Preliminary Data analysis:
The preliminary data analysis are,
1) Quality of Data: Data can be performed in lot of methods,
Like histograms, normal probability plots mean, standard deviation, median
2) Quality analysis of measurements are: inspection of homogeneity, which provides a submission of the regularity of a element tool
Main data analysis:
The major variation between the preliminary data analysis and the main analysis is they can get through any analysis method
Final data analysis:
During the last stage, the results of the preliminary data analysis are documented,and effective Math Problems Help

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Introduction to Learning Geometry in Space

Geometry in space is the study of simple shapes, defining their properties and along with the formulas for finding the areas or volumes of the shapes. The Greek mathematicians of Euclid create a definition, axioms and postulates to study about the Geometry help online in Space. He used the term ‘postulate’ for assumptions that were specific to geometry. Axioms, on the other hand, were assumptions used throughout mathematics and not specifically linked to geometry.

Equation of a Line to Learn Geometry in Space

Equation of a line from a given point and parallel to a given vector b

Let be the position vector at given point. A with respect to the origin (O) of the rectangular coordinate system. Let (l) be the line which passes through the point A and is parallel to a given vector . Let be the position of vector in an arbitrary point (P) on the line solved geometry answers.

Then is parallel to the vector ,

i.e., = λ, where λ is some real number.

But = –

i.e. λ = −

For each value of the parameter λ Conversely, this equation gives the position vector of a point P on the line. Hence, the vector equation of the line is given by = + λ

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