Based on the figure below, what is the value of x? 5 7 11 15

Mathematics

2 answers:

SVEN [57.7K]3 years ago

7 0

The whole thing has to equal 90 degrees. So the expression has to equal 40 degrees. The only number that satisfies the expression is 5. (5(5)+15)=40.

lakkis [162]3 years ago

4 0

90-50=40 so with the 40 left we now subtract 15 from 40 to get 25, divide 25 by 5 to get x=5

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slamgirl [31]

The regression equation of Y on X is given by the following formula:

$Y-\bar{Y}=b_{yx}(X-\bar{X})$

Where byx is given by the formula:

$b_{yx}=\frac{N\sum^{}_{}XY-\sum^{}_{}X\sum^{}_{}Y}{N\sum^{}_{}X^2-(\sum^{}_{}X)^2}$

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.

The table of values is:

The values we need to know are on the following table:

By replacing the known values in the formula we obtain:

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

Now, the average of X and Y is the sum divided by N, then: