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:
a
Step-by-step explanation:
+2 is the factor for the vertical translation hence it moves 2 units up
Answer:
y = negative (2) Superscript x Baseline + 3
Step-by-step explanation:
An exponential function has a range of y > 0. In order for it to have a range of y < 3, it must be reflected across the x-axis (given a negative multiplier) and must be translated upward 3 units.
That is, for some exponential function y = b^x, you must have something of the form ...
y = -a·b^x +3
Only one answer choice has this form:

Answer:
Step-by-step explanation:
Answer:
0.45
Step-by-step explanation:
4/10 is 0.4
and
5/100 is 0.05