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.
Step-by-step explanation:

<h2>
Answer:</h2>

<h2>
Step-by-step explanation:</h2>
The graphs of
can be obtained from the graph of the cosine function using the reciprocal identity, so:

But in this problem, the graph stands for the function:

Because the period is now 4π as indicated and for
in the figure and this can be proven as follows:

Also,
as indicated in the figure and this can be proven as:

We take the distance from points which indicates the location of the park and the mall.
For distance through north and east, we have positive values and negative for west and south.
Mall: (-3, -4)
Park: (3, 5)
The distance is calculate through the equation,
d = sqrt ((x₂ - x₁)² + (y₂ - y₁)²)
Substituting,
d = sqrt ((-4 - 5)² + (-3 - 3)²
d = sqrt 117 = 10.82
Thus, the distance between the mall and the park is approximately 10.82 miles.