Answer:



Step-by-step explanation:
From the attachment, we have:



Rotation: 180 degrees clockwise
Required
Find J', K' and L'
When a point (x, y)is rotated 180 degree clockwise, the resulting point is: (-x, -y)
So, we have:



(6,2) is the fourth vertex
Answer: 0.49
Step-by-step explanation:
The mean= E[x]=1/l= 7.5 min
l=1/7.5 =10/75=2/15
The exponential distribution's probability density function is looking like that:
F(x)= l*e^(-l*x) = 2/15*e^(-2*x/15)
P(0<x<5)= e^(-0*2/15)- e^(-5*2/15)=1- e^(-2/3)= approx 0.49
Earnings for 40 years without college are $30,000*40=$1,200,000
With college education you will earn $1,200,000*0.3=$360,000 more.
Answer: d)