The points are at (8,0) and (0,6)
Answer:
3.13
Step-by-step explanation:
2.1^-1.4^2 = 2.45
Square root 2.45 + 1.56
1.56 x 2= 3.13
Looks like a badly encoded/decoded symbol. It's supposed to be a minus sign, so you're asked to find the expectation of 2<em>X </em>² - <em>Y</em>.
If you don't know how <em>X</em> or <em>Y</em> are distributed, but you know E[<em>X</em> ²] and E[<em>Y</em>], then it's as simple as distributing the expectation over the sum:
E[2<em>X </em>² - <em>Y</em>] = 2 E[<em>X </em>²] - E[<em>Y</em>]
Or, if you're given the expectation and variance of <em>X</em>, you have
Var[<em>X</em>] = E[<em>X</em> ²] - E[<em>X</em>]²
→ E[2<em>X </em>² - <em>Y</em>] = 2 (Var[<em>X</em>] + E[<em>X</em>]²) - E[<em>Y</em>]
Otherwise, you may be given the density function, or joint density, in which case you can determine the expectations by computing an integral or sum.
The answer is y = -7x
Expalnation
Two points on the table are (0,0) and (1,-7)
Change in y = -7-0 = -7
Change in x = 1-0 = 1
Slope m of the function = -7/1= -7
Using y= mx + c
Picking point (0,0), x = 0, y = 0
y = mx + c becomes
0 = -7(0) + c
0 = 0 + c
c= 0
Hence, the equation is y = -7x + 0
which is y = -7x
Option b is the correct answer
