The future lifetimes (in months) of two components of a machine have the following joint density function: 6 (50 ) for 0 50 50 (, ) 125,000 0 otherwise. xy x y f xy ⎧ ⎪ − − < < −< = ⎨ ⎪ ⎩ what is the probability that both components are still functioning 20 months from now?

left 3, up 4

step-by-step explanation:

just count the values of x & y of the vertex of the graph and see how many units in the x and y direction will get you from the f(x) graph to the f(x) graph

the balance is found at the link

step-by-step explanation:

hope it you

step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2