Answer:
event A and B are independent because P(A and B) = P(A) x P(B) = 0.15
Step-by-step explanation:
When two events are independent, the probability of both occurring is the product of their separate probabilities, as expressed below;
P(A and B) = P(A) x P(B)
Given;
P(A) = 0.25
P(B) = 0.60
P(A and B) = 0.15
Now, let's check if P(A and B) will be equal to P(A) x P(B)
P(A) x P(B) = 0.25 x 0.60 = 0.15
P(A and B) = P(A) x P(B), thus event A and B are independent.
The best answer would be C
The formula is y=mx+b
To get the slope or m, use this formula
(the second y minus the first y)/(the second x minus the first x)
Now set it up.
(10-7)/(2--1)
3/3=slope is 1.
y=1x+b
Insert one of the points for x and y.
i will do (-1,7)
7=1(-1)+b
7=-1+b
8=b
Insert this into the final equation:
y=1x+8
Try it out. If you're not sure, try both points. If it works, then you set it up correctly.
Answer:
P = (2, 7)
Step-by-step explanation:
You want to find coordinates of P on segment AB such that P is 3/4 is of the way from A to B.
<h3>Equation for P</h3>
For some fraction q of the distance from A to B, the point P that lies at that fraction of the distance is given by ...
P = A +q(B -A) = (1 -q)A +qB
<h3>Application</h3>
For q = 3/4, the location of P is ...
P = (1 -3/4)A + 3/4B = (A +3B)/4
Using the given point coordinates, we have ...
P = ((-4, -2) +3(4, 10))/4 = (-4 +12, -2 +30)/4 = (8, 28)/4
P = (2, 7)
