Answer:

Step-by-step explanation:
The probability density function is :

With 0 < x < 3
To be a valid probability density function :

Where a < x < b
And also
f(x) ≥ 0 for a < x < b
Applying this to the probability density function of the exercise :





We can verify by replacing ''c'' in the original probability density function and integrating :


Also, f(x) ≥ 0 for 0 < x < 3
The answer is there are 34 tens in 342
Answer:
c)No, P is the distance from A to B, and Q is the distance from B to A.
Step-by-step explanation:
Point P partitions the directed segment from A to B into a 1:3 ratio.
Ratio is 1:3
So AP is 1 and PB is 3
Q partitions the directed segment from B to A into a 1:3 ratio.
Ratio is 1:3
So BQ is 1 and QA is 3.
That is AQ= 3 and BQ= 1
The ratio of Q and P varies
AP =1 and AQ=3
So P and Q are not at the same point.
Because P is the distance from A to B and Q is the distance from B to A
We have to choose the correct answer for the center of the circumscribed circle of a triangle. The center of the circumscribed circle of a triangle is where the perpendicular bisectors of a triangle intersects. In this case P1P2 and Q1Q2 are perpendicular bisectors of sides AB and BC, respectively and they intersect at point P. S is the point where the angle bisectors intersect ( it is the center of the inscribed circle ). Answer: <span>P.</span>