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3 years ago

What is the area of the following trapezoid? 13.5 yd 2 3.38 yd 2 6.75 yd 2 8.25 yd 2

Mathematics

1 answer:

Neporo4naja [7]3 years ago

8 0

Answer:

$area = \frac{a + b}{2} h \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{2 + 7}{2} \times 1.5 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 6.75 {yd}^{2}$

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Where N is the number of values (N=8). We need to find the sum of X values, the sum of Y values, the average of X, the average of Y, the sum of X*Y and the sum of X^2.

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By replacing the known values in the formula we obtain:

$\begin{gathered} b_{yx}=\frac{8\cdot26125-167\cdot995}{8\cdot4649-(167)^2} \\ b_{yx}=\frac{209000-166165}{37192-27889} \\ b_{yx}=\frac{42835}{9303} \\ b_{yx}=4.6 \end{gathered}$

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Replace these values in the formula and find the regression equation as follows:

$\begin{gathered} Y-124.37=4.6(X-20.87) \\ Y-124.37=4.6X-4.6\cdot20.87 \\ Y=4.6X-96.11+124.37 \\ Y=4.6X+28.26 \end{gathered}$

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1 year ago