Answer:
P(L ≤ l) =P (1-l ≤ U ≤ l)= l- ( 1 - l ) = 2 l - 1
Step-by-step explanation:
let assume that stick has length 1.Random variable L that make length of a longer piece and random variable U that mark point .See that L < l means that
U≤ l and 1-U ≤l
P(L ≤ l) =P (1-l ≤ U ≤ l)= l- ( 1 - l ) = 2 l - 1
this means 1-l≤U≤l
so we have
if we have L [1/2,1]
then apply the formula we have E(L)=3/4
Answer: -8r+12
Step-by-step explanation:
I’m a bit rusty so take my answer with a grain of salt but I believe the equation for a circle in the coordinate plane is as follows
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the vertex
So applying the equation we get the fourth or final answer at the bottom or
(x+1)^2 + (y-2)^2 = 64
