probability examples

In this blog we will learn about probability examples,

Ex 1: What is the probability of getting a sum is 4 or 8 when throwing two dice simultaneously?

Solution:Now we will see how to solve probability examples

Let S = sample space, S = {(1, 1), (1, 2), (1,3)...(6, 5), (6, 6)}, n(S) = 36

A be the event of getting a sum is 4, n(A) = {(1, 3), (2, 2), (3, 1)} = 3

B be the event of getting a sum is 8, n(B) = {(2, 6), (3, 5), (4, 4), (5, 3), (6, 2)} = 5

P(A) = =

P(B) = =

P(A or B) = P(A) + P(B)

P(4 or 8) = + = .

In the next blog we will learn about linear definition and math dictionary algebra.Hope you like the above example of probability examples,please leave your comments if you have any doubts.

square root of 72

In this blog we will learn how to solve square rot of 72,

How to Solve Square Root of 72:

In this given number square root of 72 is written as in the form of .

It can be solve by so many methods and operations like addition, multiplications and etc…

And the number 72 is factored by so many numbers like 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, and 36.

Now we have to solve the given number square root of 72 in all the entire methods of one by one.

If we solve the square root of 72, we get the constant answer or exact value is 8.48. But it is formed by so many ways, now we are find the answer for square root of 72 in so many ways.It is also easy to find square roots of other numbers like say for example we can learn about solving square root of 256 . In the next blog we will learn about percentage change calculator.Hope you like the above example of square root of 72,please leave your comments if you have any doubts.

factor theorem

In this blog let us learn about factor theorem,

Proof of Factor Theorem:In this blog we will learn about factor theorem,

P(x) is divided by x-a,
Using remainder theorem,
R = p (a)
P(x) = (x-a).q(x) + p(a)
But p (a) = 0 is given.
Hence p(x) = (x-a).q(x)
(x-a) is the factor of p(x)
Conversely if x-a is a factor of p(x) then p(a)=0.
P(x) = (x-a).q(x) + R
If (x-a) is a factor then the remainder is zero (x-a divides p(x)
Exactly)
R=0
By remainder theorem, R = p (a) .Next let us learn about area of a circle formula,in the next blog we will learn about math definitions for kids.Hope you like the above example of factor theorem,please leave your comments if you have any doubts.

triangles and angles

In this blog we will learn about triangles and angles, Triangle is one of the basic shape in geometry, and it is a closed figure with three sides. There are different types of triangles available and can be categorized based on their sides and angles.Three types of triangle, it is classified based on their sides and four types of triangles based on their angles.Let us discuss about three basic types of triangle; it is classified based on their sides.

Classifying triangles based on their Sides.

1) Equilateral triangle

2)Isosceles Triangle

3) Scalene Triangle,Normally angle is the shape in the geometry. They are special forms of the angle is obtainable in the mathematic. These special forms of the angle are specified below,right angle,acute,obtuse,straight,reflex and complete angles.In the next blog we will learn about probability definition and equations in algebra.Hope you like the above example of triangles and angles,please leave your comments if you have any doubts.

2nd grade math word problems

In this blog we will learn about 2nd grade math word problems,

Example 1 (Addition):

On a fine morning there were 3 peacocks in the garden and 2 peahens were near it. How many birds were there in the garden in the morning?

Solution:

Number of peacocks- 3,

Number of peahens- 2.

Total no of birds in the garden=

=5 [Birds]

Therefore, there were 5 birds in the garden.

Example 2 (Subtraction):

To Harris’s birthday party 24 boys and 15 girls came. Find how many boys were more than the girls present in the party.

Solution:

Number of boys present in the party -24,

Number of girls present in the party- 15.

The difference of number of boys and girls present in the party are;

=

= 9.

Therefore, there were 9 boys more than the class.This was one simple example of 2nd grade math word problems.When students learn any sum or method its a process and as the class advances and the age of the student increases the problems and sums also become wide ranged.Most of the students fear tests and exams,even I remember having a very scary experience of 7th grade math test.In the next blog we will learn about multiplication tables chart.Hope you like the above example of 2nd grade math word problems.Please leave your comments if you have any doubts.

analytical geometry

In this blog let us learn about analytical geometry,
Find the equation of the parabola if the curve is open upward, vertex is (− 1, − 2) and the length of the latus rectum is 4.
Solution:
Since it is open upward, the equation is of the form

(x − h)² = 4a(y − k)

Length of the latus rectum = 4a = 4 and this gives a = 1

The vertex V (h, k) is (− 1, − 2)

The equation of parabola is [x-(-1)]²=4*1 [y-(-2)]

[x+1]²=4[y+2].In the next blog we will learn about deviation and ratios.Hope your like the above example of analytical geometry,please leave your comments if you have any doubts.