Answer:
a. A and B are disjoint
Step-by-step explanation:
We know that P(A and B)=0, It means that event A and event B have nothing in common and it means that event A and event B are disjoints events.
The event A and event B are independent if
P( A and B)= P(A)*P(B)
P(A)*P(B)=0.3*0.2=0.06
So, P(A and B)≠P(A)*P(B)
Hence events A and B are not independent.
Option a is A and B are disjoints which is correct
Option b is A and B are neither disjoints nor independent which is partially false as A and B are disjoints event.
Option c states that A and B are independent which is clearly false.
Option d states that A and B are disjoints and independent which is partially false as A and B are not independent.
Hence the correct option is option A.
Answer:
slope = 1/4
Step-by-step explanation:
To find the slope, I chose two points where the line intersected the graph at an exact point.
Points:
(0, -8)
(4, -7)
Slope is the measure of rise over run, so starting at (0, -8) I went up one and to the right 4 times.
To put this as a fraction, we would have: 1/4
The numerator and denominator are positive because we went up and to the right.
Therefore, the slope is 1/4.
The equation of direct variation is,

Substitute the values of <em>y</em> and <em>x</em>.

So, the obtained equation will be <em>y</em>=1.35(x).
Let's check with the values of <em>x</em>.
1) If <em>x</em>=4

2) If <em>x</em>=2

3) If <em>x</em>=-2
Answer: D, using rise over run the graph goes up 1 over 3 and the graph crosses the y-axis at -4 put that in y=mx+b and you get y=1/3x+-4
Answer:
Step-by-step explanation:
BDC=95