The constant of proportionality in this situation is 32 and it represent the miles.
m = 32 x g can be interpret as
m(average number of miles) = 32(miles) X g(gallon)
Answer:
Euclid fifth postulate gives information regarding parallelism of lines.Euclid's fifth postulate states If a straight which falls on two straight lines makes interior angle on the same side of it.And if sum those two interior angles is less than 180° ,then two straight will not be parallel which means they if they produced indefinitely they will surely meet on the side where some of interior angles is less than 180°.
This postulate is more complex as compared to other four postulates.It says that two parallel lines never meet.This postulate is also known as parallel postulate.
Just distribute -5
30u+15x-20
Don’t forget to change negative signs to positive signs if their multiplied by negatives
Answer:
13,57,31
Step-by-step explanation:
Given that X, Y , Z be three random variables which satisfy the following conditions:
Var(X) = 4, Var(Y ) = 9, Var(Z) = 16. Cov(X, Y ) = −2, Cov(Z, X) = 3,
Var(y,z) =0 since given as independent
To find
![a) Cov (x+2y, y-z)\\ \\= cov (x,y) +cov (2y,y) -cov (x,z) -cov(2y,z)\\= cov (x,y) +2cov (y,y) -cov (x,z) -2cov(y,z)\\=-2+2 var(y) -3-0\\= -2+18-3\\=13](https://tex.z-dn.net/?f=a%29%20Cov%20%28x%2B2y%2C%20y-z%29%5C%5C%20%5C%5C%3D%20cov%20%28x%2Cy%29%20%2Bcov%20%282y%2Cy%29%20-cov%20%28x%2Cz%29%20-cov%282y%2Cz%29%5C%5C%3D%20cov%20%28x%2Cy%29%20%2B2cov%20%28y%2Cy%29%20-cov%20%28x%2Cz%29%20-2cov%28y%2Cz%29%5C%5C%3D-2%2B2%20var%28y%29%20-3-0%5C%5C%3D%20-2%2B18-3%5C%5C%3D13)
b) ![Var(3X − Y ).\\= 9Var(x)+var(y) -6 covar (x,y)\\= 36 +9+12\\= 57](https://tex.z-dn.net/?f=Var%283X%20%E2%88%92%20Y%20%29.%5C%5C%3D%209Var%28x%29%2Bvar%28y%29%20-6%20covar%20%28x%2Cy%29%5C%5C%3D%2036%20%2B9%2B12%5C%5C%3D%2057)
c) Var(X + Y + Z)![=Var(x) = Var(Y) +Var(z) +2cov (x,y) +2cov (y,z) +2cov (x,z)\\= 4+9+16+(-4) +6\\= 31](https://tex.z-dn.net/?f=%3DVar%28x%29%20%3D%20Var%28Y%29%20%2BVar%28z%29%20%2B2cov%20%28x%2Cy%29%20%2B2cov%20%28y%2Cz%29%20%2B2cov%20%28x%2Cz%29%5C%5C%3D%204%2B9%2B16%2B%28-4%29%20%2B6%5C%5C%3D%2031)
Note:
Var(x+y) = var(x) + Var(Y) +2cov (x,y)
Var(x+2y) = Var(x) +4Var(y)+4cov (x,y)
The correct answer is 16x^3-32x+3. really hope this helps lmk if you need an explanation. please mark me brainliest