Hope this helps you out
answer 68
Answer:
0.619
Step-by-step explanation:
from the question we have the following data:
probability of motor 1 breaking = 65% = 0.65
probability of motor 2 breaking = 35% = 0.35
probability of motor 3 breaking = 5% = 0.05
since we have 3 motors the probability of any of them breaking down is = 
but what the question requires from us is the conditional probability of the first one being installed
we have to solve this questions using bayes theorem
such that:

= 
= 
= 0.618966
approximately 0.619
therefore the conditional probability ralph installed the first motor is 0.619
Answer:
See Attachment.
Step-by-step explanation:
To create the new figure, we must multiply each coordinate by the scale factor, which is 1/2 in this case.
So j(-2,2) becomes j'(-1,1)
K(4,2) becomes K'(2,1)
L(4,-2) becomes L'(2,-1)
and M (-2,-2) becomes M'(-1,-1)
The scale factor is between 1 and 0 which means that this dilation is a reduction that will shrink the original figure to a smaller one.