Ratios and Scale drawings

A ratio is a comparison of one thing with another.  It shows the relative size of two or more quantities. The order of the ratio is very important. a:b is not equal to b:a. Now let us find how to do ratios? A ratio can be expresses in three different ways:-

1. Fractional notation : 2/5
2. Odds notation: 2:5
3. Using the word “to” : 2 to 5

How to find ratios? Ratios can be solved by reducing them.  We can multiply or divide both the terms of ratio by the same number; it makes no change to the ratio. So this clearly answers how to solve ratios?

For example: - In a class of 20 students, 5 are girls and 15 are boys. What is the ratio of girls to boys?
Solution: - There are 5 girls and 15 boys.
The ratio of girls to boys will be 5:15
We can reduce this fraction by dividing both the terms by number 5
The ratio will be 1:3
Let us learn about ratio word problems now. Ratio word problems are problems that require use of ratios to relate the different quantities.
Following points should be kept in mind while solving ratio word problems:-

• Convert all the quantities to same units if required
• Write the quantities in the ratio as a fraction
• Remember to keep same quantities in numerator and denominator

Example:- There are blue and red ball in a bag, the ratio of blue balls to red balls is 5:6. If the bag contains 60 red balls, how many blue balls are there?
Solution: -
Let x be blue balls
Red/Green = 5/6 = x/60
X = 50 balls.
Let us learn about scale drawings. If any ratio is expressed in 1:n  form, then n is called the scale factor. It is not possible to draw on paper the exact size of real- life objects. Therefore we make use of scale drawing to draw such figures like a car, a building or any map.

Example: -A figure has a scale of 1:10 that means anything drawn with the size of “1” would have a size of “10” in real world.

How to Convert Fractions to Decimals

Let's learn about How to Convert Fractions to Decimals.

In order to Convert Fractions to Decimals, the proper or improper fraction has to undergo division. The numerator has to be divided by the denominator and the resultant will be a decimal value. Below is an example:
Example:
5/2
= 2.5

For more help, get it from an expert free math tutor. Next time i will help you with the concept of solving equations with decimals.

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Bias Statistics

Let's learn about bias in the study of statistics.

There are four different types of bias in statistics and these are listed below:

• Spectrum bias
• Omitted Variable bias
• Systematic bias
• Cognitive bias  

 Next time i will help you with some other concept of statistics such as inference statistics. For more help you can also connect with an online tutor and get your help. Not just in statistics but in other topics such as geometry tutoring as well.

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Critical Value

Let's learn about Critical Value in statistics in today's learning.

Critical value is an important concept of statistics which is used in calculus as well. The point where a function has its maxima and minima is called the critical value.

This cutoff value determines the boundary between the samples, on the basis of which , it is determined, whether to reject the null hypothesis or whether to not reject the null hypothesis. If the calculated value from the statistical information is greater than the critical value, then the null hypothesis is rejected in favor of the choice hypothesis and vice versa.

Next time i will share with you about statistics data graphs. For more help connect with a calculus tutor and get your help.

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types of quadrilaterals

Let us learn about types of quadrilaterals

Quadrilaterals are 1 of the types of polygon. In geometry all quadrilaterals have 4 sides. All quadrilaterals are 2-Dimensional figures or polygons. The 4 sides figures are known as quadrilaterals. Quadrilaterals main property has width & length of 2 dimensions.
Types of quadrilaterals & their properties:

1. Parallelogram

2. Trapezoids.

In our next blog we shall learn about what causes pollution I hope the above explanation was useful.Keep reading and leave your comments.

make sentences using words

Let us try to make sentences using words

Math: Math is the study of quantity, space, structure, & change.

Addition: Addition is a basic operation in mathematics; addition has simple rules. Addition role in math problems are important in most of the problems.

Subtraction: Subtraction is the operation which finds the difference between the given two numbers

Multiplication: Multiplication means times or repeated addition. The symbol used for multiplication is '×'.

Fraction: A Fraction means a part of a group or a region or a whole.

In our next blog we shall learn about metallic character I hope the above explanation was useful.Keep reading and leave your comments.

curve sketching

Let us learn about curve sketching

Sketch the curve
y = - sin 2x ….(1)
Symmetry

(a) By replacing y by -y, the equation (1) is altered; so the curve is not symmetrical about x-axis.

(b) By replacing x by –x & the equation of the curve is altered; so the curve is not symmetrical about y-axis.

(c) Replace x & y by -x and -y respectively in the equation y = - sin 2x, the equation of the curve remain unaltered. So the curve is symmetrical in opposite quadrants.

The term “curve sketching” referred as using calculus to help draw the graph of a function by hand – the graph was the goal. Hence graphs can now be produced with great precision using computers & calculators.

In our next blog we shall learn about magnetic properties I hope the above explanation was useful.Keep reading and leave your comments.