Answer:
The probability that a fish caught by a fisherman is between 0.25 feet and 2 feet long is 0.4375.
Step-by-step explanation:
The probability density function or p.d.f. for the length <em>x,</em> in feet, of some type of fish caught by sport fishermen is :

The probability that a fish caught by a fisherman is between 0.25 feet and 2 feet long is:

Thus, the probability that a fish caught by a fisherman is between 0.25 feet and 2 feet long is 0.4375.
Ok, so if the angle is 120 degrees, its one third of the full cake (which is 360 degrees). So the area of the whole circle (worked out with area = pi * r^2 where r is 30) gives 900*pi, and so one third of that (because her slice is one third) is 300pi.
(5x^3 + 4)(25x^6 - 20x3 +16) remember factoring the cubes?
Answer:
BC = 26
Step-by-step explanation:
Given that:
B is the midpoint of AC
Then AC = AB + BC
AC = 8x - 20 and AB = 3x - 1
Then,
8x - 20 = (3x - 1) + BC
8x - 20 - (3x - 1) = BC
8x - 20 - 3x + 1 = BC
5x - 19 = BC
But AB = BC
5x - 19 = 3x - 1
5x - 3x = - 1 + 19
2x = 18
x = 9
Hence,
Since BC = AB = 3x - 1
3(9) - 1
27 - 1
= 26
0.666667 as a fraction is 2/3