Topic:C<span>onditional Probability
</span>For any two events A and B, where P(B) ≠ 0, P( A | B ) = P( A ∩ B ) / P( B ) = P( B | A) * P(A) / P(B)..i.e..{the probability of A given B is equal to the probability of A and B divided by the probability of B}
<span>For a set of events A1, A2, A3, ... , An,
</span>hence,
P(B)
<span>= P(B and A1) + P(B and A2) + ... + P(B and An) </span>
= P(B | A1) * P(A1) + P(B | A2) * P(A2) + ... + P(B | An) * P(An)
P(M | N)
<span>= P(N | M) * P(M) / P(N) </span>
<span>= P(N | M) * P(M) / (P(N | M) * P(M) + P(N | M') * (1 - P(M)))
</span><span>Substitute Values.... you get ?
</span>
Answer:
(-1,6)
Step-by-step explanation:
Given that(4,6) is on the graph of f(x)
f(-4x) means x is multiplied by -4
When x is multiplied by -1 then there will be reflection over y axis
We multiply every point by -1. so multiply the x values of the given point (4,6) by -1
New point is (-4,6)
If any number is multiplied with x then there will be a horizontal compression or stretch.
4 is multiplied with x , so there will be horizontal compression because 4 is greater than 1
To get new point, we divide the x values by 4 for compression
we already got (-4,6) after multiplying by -1
Now we divide the x coordinate -4 by 4 = -1
So corresponding point for the function f(-4x) is (-1,6)
Problem 1:
1) 3/5x-1 x 3/4=9/10
3x/5-1 x 3/4=9/10
2) 3x/5-1 x 3/4=9/10
3x/5-3/4=9/10
3) 3x/5-3/4=9/10
+3/4 +3/4
4) 3x/5=33/20
5) 5 x 3x/5= 5 x (33/20)
6) 3x=33/4
7) 3x=33/4
/3 /3
8) x=11/4
Problem 2:
1) 6/7+2/5x=-4/5
6/7+2x/5=-4/5
2) 6/7+2x/5=-4/5
-6/7 -6/7
3) 2x/5= --58/35
4) 5 x 2x/5= 5 x (--58/35)
5) 2x= --58/7
6) 2x= --58/7
/2 /2
x= --29/7
I believe the correct answer from the choices listed above is option B. The solution to a system of inequalities is <span>a collection of points that satisfy all inequalities in the system. It will always be a number of points that will agree with the inequality.</span>
Hope this answers the question. Have a nice day.
