1. The sum of (x + 3) observations is (x4 -81). Find the mean of the observations.
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1. The sum of (x + 3) observations is (x4 -81). Find the mean of the observations.
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Question :-
The sum of (x + 3) observations is (x⁴-81). Find the mean of the observations.
[tex]\boxed{\mathbb\red{ \tiny A \scriptsize \: N \small \:S \large \: W \Large \:E \huge \: R}}[/tex]
Step-by-step explanation:
[tex] \text{Mean \( \displaystyle =\frac{\text { Sum of observations }}{\text { Number of observations }} \)}[/tex]
[tex] \begin{array}{l} \displaystyle\rm =\frac{x^{4}-81}{x+3} \\ \\ \displaystyle\rm=\frac{\left(x^{2}\right)^{2}-9^{2}}{x+3} \\ \\ \displaystyle\rm=\frac{\left(x^{2}-9\right)\left(x^{2}+9\right)}{x+3} \end{array}[/tex]
[tex] \begin{array}{l} \displaystyle\rm =\frac{\left(x^{2}-3^{2}\right)\left(x^{2}+9\right)}{(x+3)} \\ \\ \displaystyle\rm=\frac{(x-3)(x+3)\left(x^{2}+9\right)}{(x+3)} \\ \\ \boxed{\color{green} \displaystyle\rm=(x-3)\left(x^{2}+9\right)} \end{array}[/tex]
Step-by-step explanation:
Answer:
Question :-
The sum of (x + 3) observations is (x⁴-81). Find the mean of the observations.
[tex]\boxed{\mathbb\red{ \tiny A \scriptsize \: N \small \:S \large \: W \Large \:E \huge \: R}}[/tex]
Step-by-step explanation:
[tex]\text{Mean \( \displaystyle =\frac{\text { Sum of observations }}{\text { Number of observations }} \)}[/tex]
[tex]\begin{gathered} \begin{array}{l} \displaystyle\rm =\frac{x^{4}-81}{x+3} \\ \\ \displaystyle\rm=\frac{\left(x^{2}\right)^{2}-9^{2}}{x+3} \\ \\ \displaystyle\rm=\frac{\left(x^{2}-9\right)\left(x^{2}+9\right)}{x+3} \end{array}\end{gathered}[/tex]
[tex]\begin{gathered} \begin{array}{l} \displaystyle\rm =\frac{\left(x^{2}-3^{2}\right)\left(x^{2}+9\right)}{(x+3)} \\ \\ \displaystyle\rm=\frac{(x-3)(x+3)\left(x^{2}+9\right)}{(x+3)} \\ \\ \boxed{\color{green} \displaystyle\rm=(x-3)\left(x^{2}+9\right)} \end{array}\end{gathered}[/tex]