Consider the polynomial p(x) = 16x,^4 - 81y^4.
Which of the following are equivalent expressions? Select all that apply.

•(4x^2-9y^2)(4x^2-9y^2)
•(4x^2-9y^2)(4x^2+9y^2)
•(4x^2+9y^2)(2x-3y)(2x-3y)
•(4x^2+9y^2)(2x+3y)(2x+3y)
•(4x^2+9y^2)(2x+3y)(2x-3y)

thank you very much for help!

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Ответ:

gymnastlyfe123

18.01.2023

Mathematics

18.33

Step-by-step explanation:

Given the probability distribution below:

$\left|\begin{array}{c|cccc}$Daily number of customers& 20 & 40 &60 & 80 \\$Probability&0.2&0.3&0.4 &0.1\end{array}\right|$

We are required to determine the standard deviation of the number of daily customers.

$\text{Standard Deviation}=\sqrt{\sum (x-E(x))^2 \cdot P(x)}$

Mean, E(x)=20*0.2+40*0.3+60*0.4+80*0.1=48

$\left|\begin{array}{c|c|c|c|c}x&x-E(x)&(x-E(x))^2&P(x)&(x-E(x))^2 \cdot P(x)\\20&-28&784&0.2&156.8\\40&-8&64&0.3&19.2\\60&12&144&0.4&57.6\\80&32&1024&0.1&102.4\\Total&&&&336\end{array}\right]$

Standard Deviation $=\sqrt{336}=18.33$

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Consider the polynomial p(x) = 16x,^4 - 81y^4. Which of the following are equivalent expressions? Select all that apply.•(4x^2-9y^2)(4x^2-9y^2)•(4x^2-9y^2)(4x^2+9y^2)•(4x^2+9y^2)(2x-3y)(2x-3y)•(4x^2+9y^2)(2x+3y)(2x+3y)•(4x^2+9y^2)(2x+3y)(2x-3y)thank you very much for help!