Question

If 2x⁴ + 2y⁴ + 2z⁴ = 144, what is the mean of x⁴, y⁴ and z⁴​

Answer 1

Answer: 24

Explanation:

Given

`2x^4+2y^4+2z^4=144`

dividing whole equation by 2, we get

`\Rightarrow x^4+y^4+z^4=72`

Mean is given by the sum of the value of entities divided by the total no of entities

`\Rightarrow \text{Mean}=(x^4+y^4+z^4)/(3)\\\\\Rightarrow \text{Mean}=(72)/(3)\\\\\Rightarrow \text{Mean}=24`