We are given that 80% of scheduled flights really take
place, therefore this means that:
Probability of flying = 80% = 0.80
Now in statistics class, we know that the probability of
two or more independent events to occur is simply equivalent to the product of
their probabilities, or mathematically written as: (P = Probability)
total P = P1 * P2 * P3 *...
In this case, since we are to find for the probability
that 3 independent flights will occur, therefore the total probability assuming
equal probabilities to fly is:
total probability = 0.80 * 0.80* 0.80
total probability = 0.512
or
total probability = 51.20%
This means that there is only a 51.20% chance for 3
flights to occur.
A.
A.eddcccccccceeeeeeeeeeeeeeeeeeeeeeeeeeeee
We have that
f(x)=(x-4)^2-1 in the question and f(x)=-(x-4)^2-1 in the picture
<span>so
</span><span>I'm going to analyze the two cases
</span><span>
using a graph tool
case 1)
</span>f(x)=(x-4)^2-1<span>
the vertex is the point (4,-1)
the x intercepts are the points (3,0) and (5,0)
the y intercept is the point (0,15)
</span><span>the axis of symmetry is x=4
</span>see the attached figure N 1
case 2)
f(x)=-(x-4)^2-1
the vertex is the point (4,-1)
there is no x intercepts
the y intercept is the point (0,-17)
the axis of symmetry is x=4
see the attached figure N 2
the answer <span>
considering the case N 2 </span>
isvertex (4,-1)------> is correcty intercept (0,-17)-----> is correctaxis of symmetry x=4-----> is correct