The triangle inequality applies.
In order for ACD to be a triangle, the length of AC must lie between CD-DA=0 and CD+DA=8.
In order for ABD to be a triangle, the length of AC must lie between BC-AB=3 and BC+AB=9.
The values common to both these restrictions are numbers between 3 and 8. Assuming we don't want the diagonal to be coincident with any sides, its integer length will be one of ...
{4, 5, 6, 7}
Answer:
51
Step-by-step explanation:
51×4=204
500-204=296
6 times 8…………zzzzzzzzzzzzzzzzz
M^3 is the square root of m6
Answer:
- a. 0.1647;
- b. 0.7153;
- c. 0.4453.
Step-by-step explanation:
By definition, if two event 
and 
are independent, then
. (
is the probability that the outcome of both event and event are true.)
<h3>a.</h3>
Since the outcome of these two events are independent,
.
<h3>b.</h3>
The logic not operator 
or the prime superscript 
denotes that an event does not happen.
.
.
Since the two events 
and 
, 
and 
are also independent. Probability that neither professor got funded:
.
Probability that at least one professor got funded- in other words, it is not true that neither professor got funded:
.
<h3>c.</h3>
Similarly, since the two events and , and are also independent. Probability that Jane but not Joe got funded:
.
