Answer
<em>length = width + 15</em>
<em>Area = length * width; area is 54 square feet.</em>
<em>Two equations are:</em>
<em>L = W + 15</em>
<em>L * W = 54</em>
<em>To solve, we substitute first equation into second equation:</em>
<em>(W + 15) * W = 54</em>
<em>w^2 + 15w = 54</em>
<em>w^2 + 15w - 54 = 0</em>
<em>(w+18)(w-3) = 0</em>
<em>w = -18 or 3</em>
<em>The width cannot be negative, so 3 is the width and since length is 15 more than width, length is 18:</em>
<em />
<em>Length = 18 feet</em>
<em>Width = 3 feet</em>
<em />
<em />
3(19-4)=2(19)+7
distribute the 3
57-12=38+7
45=45
Answer:No. A strong correlation does not imply causation.
Step-by-step explanation:
Cause and effect relationship is not explained by correlations. A cause and effect relationship can only be established by carrying out carefully controlled experiments.
Hence, a strong correlation between the the intake of soda and accidents does not necessarily imply that soda intake causes accident.
A lurking variable in this study may be the speed of the drivers. A lurking variable is not controlled but significantly impacts results obtained from the study.
Since the speed of the drivers is not strictly controlled, it may just be a lurking variable.
Answer:
![4x^2y\sqrt[4]{3y}](https://tex.z-dn.net/?f=%204x%5E2y%5Csqrt%5B4%5D%7B3y%7D%20)
Step-by-step explanation:
![\sqrt[4]{768x^8y^5} =](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B768x%5E8y%5E5%7D%20%3D%20)
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![= \sqrt[4]{4^4 \times 3(x^2)^4y^4y}](https://tex.z-dn.net/?f=%20%3D%20%5Csqrt%5B4%5D%7B4%5E4%20%5Ctimes%203%28x%5E2%29%5E4y%5E4y%7D%20)
![= 4x^2y\sqrt[4]{3y}](https://tex.z-dn.net/?f=%20%3D%204x%5E2y%5Csqrt%5B4%5D%7B3y%7D%20)
