Help with proportions and ratios

Proportions and Ratios
The ratio 50/15 may be simplified and written as 10/3.
50/15=10/3
An equation that state that the two ratios are equal is called a proportion. The preceding proportions may also be written in the form 50:15=10:3.
Percentage:
A percentage is a way of expressing number as a fraction of 100 (per cent meaning "per hundred"). This could also help us on inverse tangent calculator
Ratios:
The ration of two numbers p and q(q≠0) is the quotient of the numbers. The numbers p and q referred to as the terms of the ratio.

Help with Composite Number

Introduction to composite number:
In this section let me help you on what is composite number? A composite number is a positive integer which has a positive divisor other than one or itself. In other word, if n > 0 is an integer and there are integers 1 < n =" a" href="http://en.wikipedia.org/wiki/composite">composite number.

The numbers one is a unit – it is neither prime nor composite. For example, the integers 14 is a composite number because it can be factored as 2 × 7. Likewise, the integer 2 and 3 are not composite numbers because each of them can only be divided by one and itself. This could also help us on direct variation

Introduction to obtuse triangles

Introduction to obtuse triangles:

There are three types of triangles ( based on size of angles ), namely

* Acute angled triangles ( triangles with angles measuring less than 90 degrees)
* Right angled triangles ( triangles with one angle measuring exactly 90 degrees) and
* Obtuse angled triangles ( triangles with one angle measuring more than 90 degrees)

Obtuse triangle is also called obtuse angled triangle. Unlike acute triangles, where there can be three acute angles in a triangle, an obtuse triangle can have only one obtuse angle.

Obtuse Angle

Before going deeper, we need to know what an obtuse angle is. Obtuse angle is an angle that measures more than 90 degrees. This could also help us on mole fractionThis is an obtuse angle. Here angle ‘a’ is the obtuse angle.

What does arithmetic mean?

In this section let me help you on what is arithmetic mean.

Definition for Arithmetic mean:

In mathematics and statistics, the arithmetic mean (or simply the mean) of a list of numbers is the sum of all of the list divided by the number of items in the list. If the list is a statistical population, then the mean of that population is called a population mean.

Steps to Find out the Mean:

1. Add all the numbers (on a scratch piece of paper if needed.)

2. After we have added the numbers correctly, count how many numbers there are

(for example: 2, 3, 5, 4, 1 there are 5 numbers, right.)

3. Now divide the integer of how many of the numbers you have by the sum

(For example: 20(sum) divided by 5,(how many of the numbers) the answer would by 4). This can also help us on homework now

Formulas for Arithmetic Mean

Grouped Data Arithmetic Mean Definition:

Data arising from organizing n observed values into a smaller number of disjoint groups of values, and counting the frequency of each group; often presented as a frequency table.

Formula:

Grouped Data Arithmetic Mean :

Arithmetic Mean = ΣfX / Σf

where

X = Individual score

f = Frequency

Balancing Equation Calculator

Introduction on learning how to balance equations:-

In this section let me help you on balancing equation calculator. Learn how to balance equations is the first step into learning chemical equations in chemistry. This is because each and every equation you come across while studying chemistry is and should be written in the balanced form. An unbalanced equation doesn't imply any meaning similarly as a sentence without a verb has no meaning. Thus, learn how to balance equations is an important step in chemistry.

This will also help us on numeral most commonly Chemical equations need to be balanced in order to uphold the most fundamental rule of science – the Law of conservation of matter. The total number of atoms of each element that takes part in a chemical reaction should be equal on the side of the reactants and products in the chemical equation.

Help on Linear Equation

Linear Equations

A set of linear equations having a regula solution set is called system of coincidents linear equations.Find values of three unknowns, given three linear equations in the three unknown variables. Linear equation in three unknowns x, y, z is report of parity of form ax + by + cz + d = 0 where a, b, c, d are real numbers with a ≠ 0, b ≠ 0 and c ≠ 0.

Solve two equations in x, y

* Two equations are given.

* Removing y variable.This can also help us on system of linear equation

* Substitute value of x in any one of two equations

* Solve them in the usual way.

* Thus the values of x and y are obtained.

Fraction Problems

In this section let me explain on fraction problems. Before i go more deeper on that let me explain what are the kinds of fraction.



I hope you might have come to an conclusion with the kind of fraction about what is all about fraction.


In this section let me also help you on how do you multiply fractions.


A fraction is a number that can represent part of a whole. The earliest fractions were reciprocals of integers: ancient symbols representing one part of two, one part of three, one part of four, and so on.

Examples on Probability

We have studied enough about what is probability and it's importance towards mathematics. Now i am going to help you probability examples with the solutions.

Questions on Probability.

Here is some Statistics and Probability Question Answers , which will explain how to find the mean , median and mode for the series of numbers

Question:1 The median of prime numbers between 51 and 80.

Answer: 53, 59, 61, 67, 71, 73, 79

Median = Middle-most score

Median = 67

Question:2 The mean of 31 results is 60. If the mean of the first 16 results is 58 and that of the last 16 results is 62, find the 16th result. This will also help us on types of lines

Answer: The sum of 31 results = 60 x 31 = 1860

The sum of first 16 results = 58 x 16 = 928

The sum of second 16 results = 62 x 16 = 992

:.16th result = (928 + 992) - 1860 = 60

16th result = 60

Note on Multiplying Exponents in Math

In this lesson let me help you go through on multiplying exponents in math. I hope you will enjoy reading this and do practice this at home. so that you become quite familiear to all the sollution.
Introduction:
In math, exponents are used to indicate repeated multiplying the same number. Dealing with positive and negative exponents and simplifying expressions dealing with them is simply a matter of remembering what the definition of an exponent is.

• A positive exponent means repeated multiplying.
• A negative exponent means the opposite of repeated multiplying, which is repeated division

Multiplying Exponents
Exponents or Indices are used to tell how many times a factor must be multiplied by itself. The factor may be a number (constant) or a variable. Consider 9². The factor is 9 and is called as the base and the exponent or the index is 2. It means 9 must be multiplied 2 times 9 × 9.
We can also multiply the factors in exponential notation.Multiplication of variables or constants with exponents is simple and the process is the same for both numbers and variables. For example,
(2²)(2²) = 2 × 2 × 2 × 2
= 24
(x²)(x²) = x • x • x • x
= x4
If m is a positive integer and a є Real Number Set and a ≠ 0, then a × a × a × … m times is am and a × a × a ×…. n times is anand the product of am and an is
am × an = (a × a × a × … m times) (a × a × a ×…. n times)

Sample Problems on Algebra

Here we begin the practice of solving algebra problems. Problems include the questions involving algebraic equations and basic operations had to be performed to arrive at the solution. Set of solved problems are as shown below.

Question - 1

Question: Solve the following equation:
3(x-1)=8

Answer: 3(x-1)=8
3x-3=8
3x=8+3
3x=11

Question - 2

Question: Solve the following equation:

Answer:


2(3x-19)=10

3x-19 = 5
3x=5+19
3x=24

x=8