Answer:
Not independent
Step-by-step explanation:
This problem involves independence criteria for conditional probabilities.
The two events will be independent if P(A/B)=P(A) or P(B/A)=P(B)
Let us assumes that event A is for student attending private college and B is for student graduating in four years.
So we are given the following probabilities
P(A)=0.20
P(B)=0.55
P(B/A)=0.79
As we can see that P(B/A)≠P(B) so the events A and B are not independent.
So based on the above results we can say that "attending a private college or university" is not independent of "graduating in four years". Thus the two events "attending a private college or university" and "graduating in four years" are dependent.
[x-1]=5x+10
We have two equations:
1) x-1=5x+10
x-1=5x+10
x-5x=10+1
-4x=11
x=-11/4
2) x-1=-(5x+10)
x-1=-(5x+10)
x-1=-5x-10
x+5x=-10+1
6x=-9
x=-9/6=-3/2
we have two possible solutions:
solution₁; x=-11/4
solution₂: x=-3/2
we check it out:
1) x=-11/4
[x-1]=5x+10
[-11/4 - 1]=5(-11/4)+10
[(-11-4)/4]=-55/4 + 10
[-15/4]=(-55+40) /4
15/4≠-15/4 This solution don´t work.
2) x=-3/2
[x-1]=5x+10
[-3/2 - 1]=5(-3/2)+10
[(-3-2)/2]=-15/2 + 10
[-5/2]=(-15+20)/2
5/2=5/2; this solution works.
Therefore:
Answer: x=-3/2.
S R
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1. b is midpoint of 1. given
AC
2. AB = BC 2. if midpoint, then two
congruent lines
3. AB = EF 3. given
4. BC = EF 4. transitive property
Coordinates of P = (6, -4)
Now, Transformation occurs in Horizontal direction, so x-ccordinate will change in the transformation.
x-coordinate = 6 - 12 = -6
In short, Your Answer would be: Option 3) (-6, -4)
Hope this helps!
Which TWO expressions are equivalent to<em> </em><em>(x - y) </em>2/3 - 3/4 <em>(y-x)</em>
