Question of Exercise 5

Statistics of Class 8

Question
A company manufactures car batteries of a particular type. The lives (in years) of 40 such batteries were recorded as follows:

2.6

3.0

3.7

3.2

2.2

4.1

3.5

4.5

3.5

2.3

3.2

3.4

3.8

3.2

4.6

3.7

2.5

4.4

3.4

3.3

2.9

3.0

4.3

2.8

3.5

3.2

3.9

3.2

3.2

3.1

3.7

3.4

4.6

3.8

3.2

2.6

3.5

4.2

2.9

3.6

Construct a grouped frequency distribution table for this data, using class intervals of size 0.5 starting from the interval 2-2.5

Frequently Asked Questions

Write the coefficients of x^2 in each of the following

(i) 2 + x^2 + x

(ii) 2 - x^2 + x^3

(iii) pi/2x^2 + x

(iv) √(2)x - 1

Solution:

Explanation:

A coefficient is a number or quantity that is associated with a variable. It's commonly an integer multiplied by the variable immediately adjacent to it.

(i) 2+x²+x

The x² coefficient is 1.

(ii) 2-x²+x³

The x²coefficient is -1.

(iii) (π/2)x²+x

The x² coefficient is π /2.

(iv)√2x-1

In the provided formulation, there is no x2 term. It can be rewritten as 0x² +√ 2x - 1

The coefficient of x² equals 0 because x² does not exist.

Final Answer:

(i) 2+x²+x , the coefficient of x² is 1.

(ii) 2-x²+x³, the coefficient of x² is -1.

(iii) (π/2)x²+x, here the coefficient of x² is π/2.

(iv) √2x-1, the coefficient of x² is 0.

Which of the following is are correct

A:6 ÷ 3 =2

B:3 ÷ 6 =1/2

C:6 ÷ 3 ≠ 3 ÷ 6

D: None of the above

Solution:

Explanation

How many faces and edges does a triangular prism have

Solution:

Explanation:

The triangular prism's sides and bases are either congruent or oblique.
The prism's edges connect to the appropriate sides.
The two bases of this prism are equilateral triangles, and their edges are parallel to one another.
To grasp the structure, look at the diagram below.

triangular prism

It contains 9 edges, 5 faces, and 6 vertices in total (which are joined by the rectangular faces).
It features three rectangular sides and two triangular bases.
The triangular prism is considered to be semiregular if the triangular bases are equilateral and the other faces are squares rather than rectangles.

Final Answer:

5 faces and 9 edges.

Find the cube root of 125

Solution:

Explanation:

A number's cube root is a number that, when multiplied three times, returns the original number 125.
The cube root of 125 is represented as ∛125 using the 3rd root sign.
Let P be an integer such that its cube is 125, P³ = 125 or .
Assume that P = 1,2,3... and that its cube equals 125.

1 x 1 x 1 = 1

2 x 2 x 2 = 8

3 x 3 x 3 = 27

4 x 4 x 4 = 64

5 x 5 x 5 = 125