Formula for rotation of 180° = (-x,-y). So, it should be P=(+1,+1).
We can find roots by setting f(x) = 0 --> x^4 - x^3 - 13x^2 + x + 12 = 0.
Factoring f(x) to make things easier for us gives us (x - 1)(x + 1)(x - 4)(x + 3), which, equal to 0, gives us the ability to set each set of parentheses = 0.
x - 1 = 0 gives us x = 1.
x + 1 = 0 --> x = -1.
x - 4 = 0 --> x = 4.
x + 3 = 0 --> x = -3.
our roots are x = 1, -1, 4, and -3.
30 minutes is half the clock face, 180 degrees.
Forward is clockwise on a clock so backwards is counterclockwise.
180 degrees counterclockwise rotation
Answer:
A. 0.009899
B. 0.005624
Step-by-step explanation:
Data:
Let the probability that an item is defective = 
The probability that the item is not defective = 
The probability that the fifth item is defective = 
= 0.009899
Probability that one in 5 items is defective = 0.005624