For what value of x, is the median of the following frequency distribution 34-5? Class 0-10 Frequency 3 10-20 5 20-30 11 30-40 10 40-50 X 50-60 3 60-70 2​

1) ANSWER:- A computer consists of five functionally independent main parts input, memory, arithmetic logic unit (ALU), output and control unit.

2) ANSWER:- Input devices –Mouse, Keyboard, Touchpad, Scanners, Joystick, Webcam, etc. Output devices – Monitor, Printer, Headphones, Speakers, etc. Storage devices – Hard disk, DVD, etc. Internal components – Motherboard, CPU, RAM, etc.

3) ANSWER:-Essentially, information is the result of analyzing and interpreting pieces of data. Whereas data is the individual figures, numbers, or graphs, information is the perception of those pieces of knowledge. For example, a set of data could include temperature readings in a location over several years.

4) ANSWER;-In computing, an input device is a piece of equipment used to provide data and control signals to an information processing system, such as a computer or information appliance. Examples of input devices include keyboards, mouse, scanners, cameras, joysticks, and microphones.

5) ANSWER;-Any peripheral that accepts data from a computer and prints, projects, or reproduces it is known as an output device. The output may be audio, video, hard copy – printed paper, etc. Output devices convert the computer data to human understandable form.

The quadratic equation in terms of x is 4x²-38x+48 = 0 and the width of the sidewalk is 1.5 m.

Given,

The outer edges of the swimming pool are 7m and 12 m.

The width of the sidewalk is x m.

The area of the pool = 36 sq. m

To Find,

The quadratic equation in terms of x, and the width of the sidewalk.

Solution,

Since the width of the sidewalk is x m.

So the dimensions of the pool will be (7-2x) and (12-2x).

Now,

Area of the pool = 36 sq. m

(7-2x)(12-2x) = 36

84-14x-24x+4x² = 36

4x²-38x+48 = 0

4(x-8)(x-3/2) = 0

x = 8, 1.5

The value of x can't be 8 as it will make the dimensions of the pool negative

So, the value of x is 1.5 m.

Hence, the quadratic equation in terms of x is 4x²-38x+48 = 0 and the width of the sidewalk is 1.5 m.

Answer:

The quadratic equation in 'x' is  [tex]2x^2 - 19x +24 = 0[/tex]

Width of the sidewalk = 1.5m

Explanation:

Given,

Area of the pool = 36sq.m.

width of the sidewalk = 'x'm

Length of the pool including the sidewalk = 7m

Breadth of the pool including the sidewalk = 12m

Required to find,

1. Quadratic equation in terms of 'x'
2. Width of the sidewalk

Formula to be used

Area of the rectangle = length x breadth

Length of the pool = 7 -2x

Breadth of the pool = 12 -2x

Area of the pool = (7-2x)(12-2x)

(7-2x)(12-2x) = 36

[tex]84 - 24x - 14x + 4x^2 = 36\\[/tex]

[tex]4x^2 - 38x +48 = 0\\[/tex]

[tex]2x^2 - 19x +24 = 0[/tex]

Hence,

The quadratic equation in 'x' is  [tex]2x^2 - 19x +24 = 0[/tex]

To find 'x'

To solve the quadratic equation by splitting the middle term, we need to find two numbers such that their sum = -19 and product = 48

Two such numbers are = -16 and -3

[tex]2x^2 - 16x - 3x +24 = 0[/tex]

2x (x-8) - 3(x-8) = 0

(2x-3)(x-8) = 0

2x -3 = 0 or x = 8

x = [tex]\frac{3}{2}[/tex] = 1.5 or x = 8

x = 8, is not possible because the length of the pool including the sidewalk is 7m.

So x = 1.5m

Hence,

Width of the sidewalk = 1.5m

Step-by-step explanation:

please gibe the solution anybody

Concept Introduction:-

It is a type of branch where maths are deals with their own properties and also manipulation of numbers.

Given:-

We have been given a case study.

To Find:-

We have to find width.

Solution:-

According to the problem

Width of sidewalk is x m Inner length of pool is (12- 2x) m

Inner beadth of pool (7-2x) m

Area of pool is 36 sq. m

Area of pool =length × breadth

36= (12-2x) ×(7-2x)

36 = 84 - 24x -14x +4x^2

36= 84 -38x +4x^2

4x^2 -38x +48 = 0

2x^2 -19x + 24 = 0

is the required quadratic equation

(ii) solution As we solve the above equation we will find the width of the sidewalk 2(2x^2 - 19x +24) = 0

2x^2 -19- + 24 = 0

2x^2 - 16x -3x +24 = 0

2x(x-8) -3(x-8) =0

(2x-3)(x-8) = 0 X = 3/2 or 8

Width of sidewalk = 8m is not possible

Hence, width of sidewalk is 3/2

Final Answer:-

The final answer is 3/2

#SPJ2

Answer:

Hope this helps you

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Step-by-step explanation:

Use the formula of mode

and simplify and you will get

42.78 as mode

Answer:

Class Frequency

10-20 15

20-30 10

30-40 12

40-50 17

50-60 4

Modal Class= 40-50

Mode= 40+(17-12/2×17-12-4)×10

Mode= 40+(5/18)×10

Mode= 40+(5/9)×5

Mode= 40+25/9

Mode= 40+2.77

Mode= 42.77