The answer to the given question is as below:-
Polynomials:-
x³-7x²+9x-5x⁴-20
x⁵-5x⁴+4x³+2x-1
3x²-5x⁴+2x-12
Non-polynomial:-
x⁻5-5x⁻⁴+4x⁻³+2x⁻1-1
![\dfrac{4}{x^4}+ \dfrac{3}{x^3}-\dfrac{2}{x^4}-1](https://tex.z-dn.net/?f=%5Cdfrac%7B4%7D%7Bx%5E4%7D%2B%20%5Cdfrac%7B3%7D%7Bx%5E3%7D-%5Cdfrac%7B2%7D%7Bx%5E4%7D-1)
![\sqrt[4]{x} -\sqrt[3]{x} 4+\sqrt{x}-8x+16](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%7D%20-%5Csqrt%5B3%5D%7Bx%7D%204%2B%5Csqrt%7Bx%7D-8x%2B16)
<h3>What are polynomials?</h3>
A polynomial is a mathematical equation made up of indeterminates and coefficients and involves only addition, subtraction, multiplication, and non-negative integer exponentiation of variables. The exponents of the polynomials can not be irrational.
So the table will be formed as:-
Polynomials:- Non-polynomial:-
x³-7x²+9x-5x⁴-20 x⁻5-5x⁻⁴+4x⁻³+2x⁻1-1
x⁵-5x⁴+4x³+2x-1 ![\dfrac{4}{x^4}+ \dfrac{3}{x^3}-\dfrac{2}{x^4}-1](https://tex.z-dn.net/?f=%5Cdfrac%7B4%7D%7Bx%5E4%7D%2B%20%5Cdfrac%7B3%7D%7Bx%5E3%7D-%5Cdfrac%7B2%7D%7Bx%5E4%7D-1)
3x²-5x⁴+2x-12 ![\sqrt[4]{x} -\sqrt[3]{x} 4+\sqrt{x}-8x+16](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%7D%20-%5Csqrt%5B3%5D%7Bx%7D%204%2B%5Csqrt%7Bx%7D-8x%2B16)
Therefore the polynomials and non-polynomials are shown in the table above.
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Answer: C.) The coefficient of determination is 0.215. 21.5% of the variation is explained by the linear correlation, and 78.5% is explained by other factors.
Step-by-step explanation:
Given that :
Number of observations = 40
Linear Correlation Coefficient (R) = 0.464
The Coefficient of determination ( R^2) =?
The Coefficient of determination (R^2) is the squared value of the linear correlation Coefficient value (R) . The value value ranges from 0 to 1 and depicts the proportion of the variation in the dependent variable that can be accounted for by the independent variable.
For the scenario given above,
The Coefficient of determination (R^2) = 0.464^2 = 0.215296 = (0.215296 * 100%) = 21.5%
This means that 21.5% of the variation can be explained by the relationship between both variables while (100% - 21.5% = 78.5%) can be explained by other factors.
Answer:
27,488.94 cubic feet
Step-by-step explanation:
I think thats it
24 × 0.12 = 2.88
24 - 2.88 = 21.12
so the percent of decrease is 12%
a. 12.0%