Explanation

Explanation

Explanation

To find the sum of the five numbers, we can use the formula for the average:

$$\text{Average}=$$Sum of numbers/ Number of numbers​

Given that the average is 6.92 and there are 5 numbers, we can substitute into the formula:

6.92=Sum of numbers/5​

Multiplying both sides by 5:

$$\text{Sum of numbers}=6.92\times 5=34.6$$

Explanation

Step 1: Find marks for coursework

Marks for coursework=2/5×120=48.

Step 2: Find marks for the written paper

Marks for written paper=120−48=72.

Step 3: Find marks for the mental test

The mental test is $frac{3}{8}$ of the marks for the written paper:

Marks for a mental test

=3/8×72

=27.

Explanation

Explanation

The average $x$ of ten positive numbers is:

$$x = frac{text{Sum of the numbers}}{10}.$$

If each number is increased by 10%, the new sum of the numbers becomes:

$$text{New sum} = 1.1 times (text{Original sum}).$$

The new average is:

$$text{New average} = frac{text{New sum}}{10} = frac{1.1 times (text{Original sum})}{10} = 1.1 times x.$$

This shows that the average $x$ also increases by 10%.

Explanation

Explanation

Explanation

Explanation

(3x-5) = 4(x-5)

3x -5 = 4x -20 

4x -3x = 20 -5

x=15