Answer:
( x + 2 )² + ( y - 4 )² = 36
Step-by-step explanation:
Standard equation of a circle - ( x - h )² + ( y - k )² = r²
where r = radius and center is at ( h , k )
The given center is ( -2 , 4 )
Thus h = -2 and k = 4
and the given radius is 6
Thus, r = 6
that being said, we plug in the given values into the standard equation
( x - ( - 2 )² + ( y - 4 )² = 6²
Finally we simplify
In - ( -2 ) the two negative signs cancel out and it turns into + 2
6² = 36
The final equation of the circle is ( x + 2 )² + ( y - 4 )² = 36
Solution :
Faulty electrical connects = P(A) = 0.80
Mechanical defects = P(B) = 0.92
Mechanical defects are related to loose keys = P(C/B) = 0.27
Improper assembly = P(D/B) = 0.73
Defective wires = P(E/A) = 0.35
Improper connections = P(F/A) = 0.13
Poorly welded wires = P(G/A) = 0.52
Now, the probability due to loose keys = 0.27 x 0.92 = 0.2484
Improperly connected = 0.13 x 0.80 = 0.1040
Poorly welded wires = 0.52 x 0.80 = 0.4160
So, the probability that a failure is due to improperly connected or poorly welded wires = 0.1040 + 0.4160
= 0.5200
Answer:
for the first question, it's (2,2) and for the last question it's (0,2)
