Whakaoti i te mu_{y}=4/9*(-2)+3/9*0+2/9*1=

$$\mu _ { y } = \frac { 4 } { 9 } \times ( - 2 ) + \frac { 3 } { 9 } \times 0 + \frac { 2 } { 9 } \times 1 =$$

Whakaoti mō μ_y

$$\mu _{y}=-\frac{2}{3}\approx -0.666666667$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tuhia te \frac{4}{9}\left(-2\right) hei hautanga kotahi.

$$\mu _{y}=\frac{4\left(-2\right)}{9}+\frac{3}{9}\times 0+\frac{2}{9}\times 1$$

Whakareatia te 4 ki te -2, ka -8.

$$\mu _{y}=\frac{-8}{9}+\frac{3}{9}\times 0+\frac{2}{9}\times 1$$

Ka taea te hautanga \frac{-8}{9} te tuhi anō ko -\frac{8}{9} mā te tango i te tohu tōraro.

$$\mu _{y}=-\frac{8}{9}+\frac{3}{9}\times 0+\frac{2}{9}\times 1$$

Whakahekea te hautanga \frac{3}{9} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\mu _{y}=-\frac{8}{9}+\frac{1}{3}\times 0+\frac{2}{9}\times 1$$

Whakareatia te \frac{1}{3} ki te 0, ka 0.

$$\mu _{y}=-\frac{8}{9}+0+\frac{2}{9}\times 1$$

Tāpirihia te -\frac{8}{9} ki te 0, ka -\frac{8}{9}.

$$\mu _{y}=-\frac{8}{9}+\frac{2}{9}\times 1$$

Whakareatia te \frac{2}{9} ki te 1, ka \frac{2}{9}.

$$\mu _{y}=-\frac{8}{9}+\frac{2}{9}$$

Tā te mea he rite te tauraro o -\frac{8}{9} me \frac{2}{9}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\mu _{y}=\frac{-8+2}{9}$$

Tāpirihia te -8 ki te 2, ka -6.

$$\mu _{y}=\frac{-6}{9}$$

Whakahekea te hautanga \frac{-6}{9} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\mu _{y}=-\frac{2}{3}$$

Tautapa μ_y

$$\mu _{y}≔-\frac{2}{3}$$