y = x² - 4x + 8
4x + y = 12
4x + y = 12
4x + (x² - 4x + 8) = 12
x² + 4x - 4x + 8 = 12
x² + 8 = 12
- 8 - 8
x² = 4
x = ±2
4x + y = 12
4(2) + y = 12
8 + y = 12
- 8 - 8
y = 4
4x + y = 12
4(-2) + y = 12
-8 + y = 12
+ 8 + 8
y = 20
(x, y) = (2, 4) and (-2, 20)
All of the measurements are the same because a rhombus is just a tilted square:
All sides are 4cm
Hope it helps ;)
Given: Mean of Normal distribution μ = 100, standard deviation σ =20
We have to find the probability that the score will be less than X=84
P(X < 84)
The z-score for x=84 is
Z = 
Z = 
Z = -0.8
We have to find probability that Z < -0.8
Using Z score table to find the probability below z=-0.8 we get
P(Z < -0.8) = 0.2119
Hence the probability that the score will be less than x = 84 is 0.2119