Central Tendency

Let's learn about statistics central tendency here in this post.

There are three measures of central tendencies in statistics and these are as follows namely:

• Mean
• Median
• Mode

Next time i will share with you helping hand for statistics binomial distribution.

Volume calculations

Volume calculations:
The aggregate of a actuality is the bulk of amplitude amid by the substance. If the actuality is a solid, again its aggregate is ample out by the geometrical blueprint or the applications of the geometrical formulas of the appearance of that solid.
Therefore the aqueous aggregate calculator is annihilation but the aggregate of alveolate (or the capacity) of assorted shapes

Vector Geometry

Vector Geometry:
The chat agent is acquired from Latin chat " to backpack " and came into actuality because of Hamilton.
Vectors are ideal accoutrement for the abstraction of abounding account in geometry and physics. Agent algebra is broadly acclimated in the abstraction of assertive blazon of problems in Geometry, Mechanics, Engineering and added branches of Applied Mathematics.

Geometric sequence

Geometric sequence formula

The sum of the terms of all the given terms of a geometric sequence is called as a geometric series. Thus, the general form of a geometric sequence is,

a, ar, ar², ar³, ar⁴……

and that of a geometric series is,

a + ar + ar² + ar³ + ar⁴ +…..

The nth term of a geometric sequences with initial a and the ratio r is given by,

a_n = ar^n-1

Here, r → common ratio, n → total no. of terms in the series

Such a geometric sequences may follows the recursive relation in some cases,

a_n = ra_n-1 for every integer n>=1

Here, r → Common ratio, n → no. of terms in the series

For checking whether the given sequence is geometric or not, we have to simply check whether successive entries in the sequence all have the same ratio. For instance,

1, −2, 4, −8, 16, −32…

is a geometric sequence with r value −2.

Segment

A line Segment

• A segment is the small part or small distance of a straight infinity line, which is having two end points on both directions of an infinity line.
• That straight line is joining those two end points, those two points are coordinate points and it is doesn’t extending the line after the end points.

Pie Problems

What is pie:
Example 1:

Find the area of a circle with radius14.4 cm (using pi equal 3.14)?

Solution:
Step 1: Area of a circle = pi* radius².
Step 2: We know that radius = 14.4 cm.
Step 3: Plug the radius value in to the formula.
Step 4: Therefore, Area of a circle = 3.14 *14.4 *14.4
Step 5: So, we get 651.1104 cm².

Pair of Factors

Factors of 56

The product of any three numbers gives a definite number. That three numbers are called as factor pairs of a definite number.
For example think about the number 18.
2 * 9 = 18
3 * 6 = 18
Factor pair of 16 is (2, 9), (3, 6) (know more about prime numbers)

5th grade maths

Some worked example practice problems for 5^th grade maths:
Example:
Calculate the ratio of 20 cm to 4meter.
Solution:
4meter = 4 × 100cm = 400 cm
Therefore required ratio = 20: 400
= 2: 40
= 1: 20

Infinite limits

Infinite limits

Most of arithmetic that covenants with the boundless that may even be construed as dealing with the probable boundless number. Let us take an example, the query of whether any of species will have an boundless chain of descendant species can be defined in such a way that needs quantification over all those actual. There happens not a single event that decides this query but it is still significant & it is also fascinating in a probably boundless world. It can be resolute d by a recursively enumerable set of events. In math the inverse of infinity is equal to ZERO.

Variable ratio

Variable ratio
In arithmetic, a ratio expresses the magnitude of quantities relative to each other. Specifically, the ratio of four quantities indicates how lots of times the first quantity is contained in the second & may be expressed algebraically as their quotient.

Example:

For every Spoon of sugar, you need 2 spoons of flour (1:2)

Quadratic equation

Quadratic equation formula
The first step is to move all terms to the left using addition and subtraction. First, we will subtract 8x from each side.

x² + 3x - 8x = 8x - 8x - 6
x² - 5x = -6

Now, we will add 6 to each side.

x² - 5x + 6 = -6 + 6
x² - 5x + 6 = 0.

With all terms on the left side, we proceed to Step 2.

how to multiply decimals

Let us learn how to multiply decimals

--> We are going to discuss about the topic how to multiply decimals step by step with some related problems. Decimal have point in between the numbers. The number will present with dot. For example, 65.28 is a decimal number. There are many ways to multiply the decimal values. Some of them are following below.

Steps for Multiplying Decimals

Step 1: Take the decimal numbers
Step 2: Check the given decimal number, how many digits are present after the point.
Step 3: If the number after the point is 1 means, we need to multiply with the value 10 to remove the decimal point. If the number after the point is 2 means, we need to multiply with the value 100 to remove the decimal point.
Step 4: After removing the decimal point we can multiply easily using normal multiplication method.
Step 5: Finishing the multiplication process, again we need to divide 10 or 100 (multiplied value in the step 3) with the answer for putting the decimal point.
Or
Multiply the given decimal value then count the digit after the point.
Put the point in the answer count starts from left side.

trigonometric integrals

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Let us learn about trigonometric integrals

The integral calculus is concerned with the inverse problem of the given derivative of a function to find the function. In symbol, we require to find f(x) where, d/dx f(x) = g(x) and g(x) is given.Then f(x) = ∫ g(x) dx. Thus, Define the integration as follows: The integral of the function g(x) with respect to x is the function whose derivative with respect to x is g(x) and is written as = ∫ g(x) dx.

In calculus, an anti derivative, primitive or indefinite integral of a function f is a function F whose derivative is equal to f, i.e., F ′ = f. The process of solving for anti derivatives is called anti differentiation (or indefinite integration) and its opposite function is called differentiation, which is the process of finding a derivative.

10 kilometers to miles

The kilometre (American spelling: kilometer), symbol km is a unit of length in the metric system, equal to one thousand metres
Mile:-

A mile is a unit of length in a number of different systems. In contemporary English, a mile most commonly refers to the statute mile of 5,280 feet

Conversion from Kilometer to Meter:-

1 kilometer is approximately equal to 0.621371192 miles
1 mile is approximately equal to 1.609344 kilometers.
The formula that can be used for converting kilometers to miles is
X kilometer = 0.621371192 * X miles.

10 kilometers in miles:-

By plugging in the 10 kilometer in the formula we get
10 kilometer = 0.621371192 * 10 miles
= 6.21371192 miles.
So 10 kilometer is 6.2137112 miles.

Adjoint Matrix:

Definition: The transpose of the matrix obtained by replacing the elements of a square matrix A by the corresponding cofactors is called the adjoint matrix of A. It is denoted by Adj A or adj A.

Adjoint and Inverse of a Matrix:

The adjoint of a square matrix [aij] is defined as the transpose of the matrix [Aij] where Aij are the cofactors of the elements aij. Adjoint of A is denoted by adj A.
Let A be a square matrix of order n. If there exists a matrix B of order n such that AB = BA = I, where I is the identity matrix of order n, then the matrix A is said to be invertible and B is called the inverse (or reciprocal) of A.
A square matrix A is said to be non-singular if its determinant value is non-zero.
A square matrix A is said to be singular if |A| = 0.