The simplified answer is x = 1/3
Answer:
p= -2/3 or p=3/2
Step-by-step explanation:
(3p +2)(2p -3)=0
3p=-2 or 2p=3
p=-2/3 or p=3/2
Answer:
c?
Step-by-step explanation:
Answer:
7x + 2y = 4
Step-by-step explanation:
7x + 2y = 4
y = x + 1
Substitute y = x + 1 into 7x + 2y = 4
7x + 2(x + 1) = 4
7x + 2x + 2 = 4
9x + 2 = 4
9x = 2
x = 2/9
y = 2/9 + 1
y = 2/9 + 9/9
y = 11/9
Answer
(2/9 , 11/9)
Answer:
![P(Y| X = 65)=66](https://tex.z-dn.net/?f=P%28Y%7C%20X%20%3D%2065%29%3D66)
Step-by-step explanation:
From the question we are told that:
Mean![\=x=70](https://tex.z-dn.net/?f=%5C%3Dx%3D70)
Standard Deviation ![\sigma=3](https://tex.z-dn.net/?f=%5Csigma%3D3)
Variance ![\sigma^2=2](https://tex.z-dn.net/?f=%5Csigma%5E2%3D2)
Generally the equation for Variance of Prediction is mathematically given by
![\sigma_{p}^2=\sigma_{p}'^2*(1-r^2)](https://tex.z-dn.net/?f=%5Csigma_%7Bp%7D%5E2%3D%5Csigma_%7Bp%7D%27%5E2%2A%281-r%5E2%29)
Where
![\sigma_{p}'^2=variance\ of\ predictor](https://tex.z-dn.net/?f=%5Csigma_%7Bp%7D%27%5E2%3Dvariance%5C%20of%5C%20predictor)
Therefore
![2=3^2*(1-r^2)\\\\r=0.88](https://tex.z-dn.net/?f=2%3D3%5E2%2A%281-r%5E2%29%5C%5C%5C%5Cr%3D0.88)
Therefore
The Average score of student in 2nd test
![P(Y| X = x) = \mu +\frac{p\sigma}{\sigma(x −\mu_X)}](https://tex.z-dn.net/?f=P%28Y%7C%20X%20%3D%20x%29%20%3D%20%5Cmu%20%2B%5Cfrac%7Bp%5Csigma%7D%7B%5Csigma%28x%20%E2%88%92%5Cmu_X%29%7D)
![P(Y| X = 65) = 70 +0.88\frac{3}{3)}*(65-70)](https://tex.z-dn.net/?f=P%28Y%7C%20X%20%3D%2065%29%20%3D%2070%20%2B0.88%5Cfrac%7B3%7D%7B3%29%7D%2A%2865-70%29)
![P(Y| X = 65)=66](https://tex.z-dn.net/?f=P%28Y%7C%20X%20%3D%2065%29%3D66)