Subtracting mx from both sides, we get y-mx=b
All the components in the state vector need to sum to 1. You're given that component corresponding to state 1 is 0.2, and that the component for state 3 is 0.
That leaves states 2 and 4, for which you're told that the component for state 2 is four times as large. If
![x_i](https://tex.z-dn.net/?f=x_i)
is the component for state
![i](https://tex.z-dn.net/?f=i)
, then you have
![x_1+x_2+x_3+x_4=1\iff 0.2+4x_4+0+x_4=1\implies5x_4=0.8\implies x_4=0.16](https://tex.z-dn.net/?f=x_1%2Bx_2%2Bx_3%2Bx_4%3D1%5Ciff%200.2%2B4x_4%2B0%2Bx_4%3D1%5Cimplies5x_4%3D0.8%5Cimplies%20x_4%3D0.16)
which means
![x_2=4x_4=0.64](https://tex.z-dn.net/?f=x_2%3D4x_4%3D0.64)
. So the state vector is
![\mathbf x=(0.2,0.64,0,0.16)](https://tex.z-dn.net/?f=%5Cmathbf%20x%3D%280.2%2C0.64%2C0%2C0.16%29)
.
Average = no of hits / no of at-bats
0.296 = x / 446
0.296/ 446 = x
132.016
No of hits ≈ 132
Answer:
132, 390, 244, 492
Step-by-step explanation:
those are the answers in order