Histograms Graphs Math

Introduction:

       Let us learn about the histograms graphs in math. In mathematical concept of histogram is a graphical representation of given data records. It is easy way to understand the information by using different several of graph. A line graphs, bar graphs and pie graphs these are based on math Histogram graphs. Let us see graphs histogram functions.

Histograms graphs math:

Graphs are represented by title, bars, legend, axis (horizontal, vertical). These are important for graphs.

Title:Title is essential for graph because information (about histogram) is described by the title.
Bars: The bars have two essential characteristics, namely - height and width. The height explains the number of occurrences of values within an interval. The length of the interval covered by the bar is represented by the width.
Axis: axis is using for measured scale of values such as horizontal and vertical axis.
Legend: The legend provides extra information about the relation to the documents. These are important for histogram graphs.

Example for math histogram graphs:

        Let us learn about the frequency histogram graph in math. Frequency histogram graphs are easy methods to draw, at the same time we can clearly understand.

Column is represented for data range it divide into equal intervals.
Intervals are like (5-10, 11-15, 16-20……….) and another column for frequency.
Make a graph here data range intervals on horizontal axis but no space between intervals. And frequency percentages are we should mark on vertical axis this is also equal like horizontal axis.

Types of graphs:

1. Area graphs
2. Pie graphs
3.  Line graphs
4. Pictographs
5. Bar graphs
6. Frequency histogram graphs. These graphs are very clear to understand data records. Few of them as Follows.

Graphs:

X = 0-5  6-10  11-15  16 -20  21 -25  26 -30

Y =   10    20       30         40         50        60

Solution:

         Let us see bar frequency histogram graphs.



Line graphs:

X = 0    10  20  30  40  50

Y = 10  20  30  40  50  60

Solution: Let us see solution.

Tenth Grade Math Practice

Introduction to tenth grade math practice problem:

              Mathematics interacted well with all other branches of Science and Social Sciences and new fields such as Operations Research, Industrial Mathematics, Mathematics of Computation, Mathematical Statistics, Mathematical Biology, Mathematical Modeling, Cryptology, and Mathematical Economics etc. The tenth grade mathematics includes number theory, quadratic equation, greatest common divisor, least common divisor, factorization, and data handling etc. In this article we shall do some tenth grade practice problem.


Tenth grade math example practice problem


Example:

Find the L.C.M of 12(x–1)3 and 15(x–1) (x+2)2

Solution:

Lowest degree which is exactly divisible by the given polynomials and whose coefficient of the highest degree term has the same sign as the sign of the coefficient of the highest degree term in their product.

12(x–1)3 = 22 × 3 (x –1)3

15 (x–1) (x + 2)2 = 5 × 3 (x – 1) (x + 2)2

L.C.M. = 22 × 3 × 5 (x – 1)3 (x + 2)2 = 60 (x – 1)3 (x + 2)2

Example:

Find the L.C.M. of 6x2y, 9x2yz, 12x2y2z

Solution: 6x2y = 2 × 3 × x2 y

9xy2z = 32 x2 yz

12x2y2z= 22 × 3x2 y2z

L.C.M. = 22 × 32 × x2y2z = 4 × 9 x2y2z

L.C.M. = 36x2y2 z

Example:

Find the square root of

x2 – 4 = x2 – 22 = (x–2) (x+2)

x2 + x – 6 = x2 + 3x – 2x – 6 = x (x+3) – 2 (x+3) = (x+3) (x–2)

x2 + 5x + 6 = x2 + 3x + 2x – 6 = x (x+3) + 2 (x+3) = (x+3) (x+2)

Hence (x2 – 4) (x2 + x – 6) (x2 + 5x + 6)

= (x + 2) (x + 3) (x – 2) (x + 3) (x + 2) (x – 2)

= (x–2)2 (x + 2)2 (x + 3)2 = [(x – 2) (x + 2) (x + 3)]2

Therefore the required square root is (x – 2) (x + 2) (x + 3)


Tenth grade math example practice problem


Practice Problem 1:

Find the L.C.M. of x3 + 1, x2 – 1, (x + 1)2

Answer:

L.C.M. = (x + 1)2 (x – 1) (x2 – x + 1)

Practice Problem 2:

Find square root of x2 + 10x + 25

Answer:

x + 5

Get Help With Math Now

Introduction to get help with math now:

Mathematics is the study of quantity, structure, space, and change. Mathematicians seek out patterns, formulate new conjectures, and establish truth by rigorous deduction from appropriately chosen axioms and definitions.  Mathematics is used throughout the world as an essential tool in many fields, including natural science, engineering, medicine, and the social sciences.(source: From Wikipedia).

Algebra, geometry and probability are the interesting topics and these are very helpful in many real life applications. Now we are going to get help with some math problems. From this we can get clear view about how to solve the math problems easily.


Get help with some math algebra problems now:


Example problem 1:

Solve for the variable x: x2 – 4 = 0

Solution:

x2 – 4 = 0

x2 – 22 = 0

Using the formula x2 - y2 = (x + y) (x – y)

From this formula, we get

(x + 2) (x – 2) = 0

x + 2 = 0 or x – 2 = 0

x = -2 or x= 2

So, the answer is x=-2 and x=2.

Example problem 2:

Solve for the value of x: 3x + 3 = 18

Solution:

3x + 3 = 18

Now, Subtract 3 on both sides of the equation, we get

3x + 3 - 3 = 18 – 3

3x = 15

Divide by 3 on both sides of the equation, we get

3x / 3 = 15 / 3

x = 5

So, the answer is x=3.


Get help with some geometry problems now:


Example problem 3:

Length and breadth of a rectangle are 15 cm and 10 cm respectively. Find area and perimeter of the given rectangle.

Solution:

(i) Area of the rectangle = Length × Breadth

= l × b

= 15 cm. × 10 cm.

= 150 Sq. cm.

So, the area of rectangle is 150 Sq. cm.

(ii) Perimeter of the rectangle = 2 (l + B)

= 2 (l + b)

= 2 (15 + 10)

= 2 × 25 = 50 cm.

So, the perimeter of rectangle = 50 cm.

Example problem 4:

Find the volume of a wooden plank 10 cm. long, 5 cm broad and 2 cm thick.

Solution:

The volume of the plank = Length × breadth × height

= 10 × 5 × 2 cm3

= 100 cm3

So, the volume of a wooden plank is 100 cm3.