Answer:
1.68
Step-by-step explanation:
6.72 ÷ 4=1.68..........
What are you doing with these numbers
Answer:
Step-by-step explanation:
Given are the observations are on stabilized viscosity (cP) for specimens of a certain grade of asphalt with 18% rubber added:
2767 2924 3042 2844 2895
No of items = 5
If written in ascending order the order would be
2767 2844 2895 2924 3042
Hence median is the middle value in the ordered row = 2895
Mean = sum/5
=![\frac{14472}{5} =2894.4](https://tex.z-dn.net/?f=%5Cfrac%7B14472%7D%7B5%7D%20%3D2894.4)
Step-by-step explanation:
let our intercept be -7 let x1=-7 x2=o
y1= -7 and x2= 0 y1-y2/x1-x2
-7-0/-7-0
=1
Answer:
Equation of the Ellipse
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the equation
x² + 2 x + 2y² - 12 y +11 = 0
⇒ x² + 2 x + 1 - 1 + 2(y² - 6 y )+ 11 = 0
x² + 2 x + 1 - 1 + 2(y² - 2(3) y+9-9 )+ 11 = 0
⇒ x² + 2 x + 1 - 1 + 2(y² - 2(3 y ) + 3²- 3² ) + 11 = 0
By using (a +b)² = a² + 2 a b + b²
(a -b)² = a² - 2 a b + b²
<u><em>Step(ii):-</em></u>
x² + 2 x + 1 - 1 + 2(y² - 2(3 y ) + 3²- 3² ) + 11 = 0
⇒ ( x+1)² +2( y-3 )² - 1 - 2(9) +11 =0
⇒ ( x+1)² +2( y-3 )² - 8 =0
( x+1)² +2( y-3 )² = 8
Dividing '8' on both sides , we get
![\frac{(x+1)^{2} }{8} + \frac{2(y-3)^{2} }{8} = 1](https://tex.z-dn.net/?f=%5Cfrac%7B%28x%2B1%29%5E%7B2%7D%20%7D%7B8%7D%20%2B%20%5Cfrac%7B2%28y-3%29%5E%7B2%7D%20%7D%7B8%7D%20%3D%201)
![\frac{(x+1)^{2} }{8} + \frac{(y-3)^{2} }{4} = 1](https://tex.z-dn.net/?f=%5Cfrac%7B%28x%2B1%29%5E%7B2%7D%20%7D%7B8%7D%20%2B%20%5Cfrac%7B%28y-3%29%5E%7B2%7D%20%7D%7B4%7D%20%3D%201)
This equation represents the Ellipse