Answer:
Standard form: 
This equation represents the circle with the center at the point
and the radius 
Step-by-step explanation:
Consider expression 
First, form perfect squares:

This equation represents the circle with the center at the point
and the radius 
Total of 55 marbles.....if there are 11 red marbles, then there are (55 - 11) = 44 green marbles. So the ratio of red marbles to green marbles is :
11:44 which reduces to 1:4 or 1/4 or 1 to 4
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:
-11
Step-by-step explanation: