Answer: Events A and B are independent.
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Explanation:
Note how,
P(A)*P(B) = 0.5*0.2 = 0.1
which matches exactly with P(A and B) = 0.1
Therefore,
P(A and B) = P(A)*P(B)
is a true statement. This further leads to events A and B being independent.
Answer: b,e
Step-by-step explanation:
A
Lines that are parallel have the same slope number next to X
Y= 5x+9
5 is the slope and 9 is the y intercept
Answer:
P = 1W
Step-by-step explanation:
The power is the work done by a force, divided by the time it needed. The work of weight, since the object is raised is equal to:
W = weight × distance = 1 × 1 = 1 Joule
W = 1 J
P = W/t = 1 J / 1 s = 1 Watt
So P = 1 Watt
Answer:
x−2x4+2x3−7x2−8x+12=x3+4x2+x−6
The rational root theorem suggests that other possible roots may be -6, 6, -3, 3, -2, 2, -1, and 1. It turns out that x=-2x=−2 is a root, since (-2)^3+4(-2)^2+(-2)-6=0(−2)3+4(−2)2+(−2)−6=0 , so x+2x+2 is also a factor and we have
\dfrac{x^4+2x^3-7x^2-8x+12}{(x-2)(x+2)}=x^2+2x-3(x−2)(x+2)x4+2x3−7x2−8x+12=x2+2x−3
Finally, we can factorize the remaining quotient easily:
x^2+2x-3=(x+3)(x-1)x2+2x−3=(x+3)(x−1)
so the other factors are x+2x+2 , x+3x+3 , and x-1x−1 .
