Answer:
0.6563 or 65.63% of brook trout caught will be between 12 and 18 inches
Step-by-step explanation:
Mean trout length (μ) = 14 inches
Standard deviation (σ) = 3 inches
The z-score for any given trout length 'X' is defined as:
e interval
For a length of X =12 inches:

According to a z-score table, a score of -0.6667 is equivalent to the 25.25th percentile of the distribution.
For a length of X =18 inches:

According to a z-score table, a score of 1.333 is equivalent to the 90.88th percentile of the distribution.
The proportion of trout caught between 12 and 18 inches, assuming a normal distribution, is the interval between the equivalent percentile of each length:

9 and 1/2 is a mixed number
Answer:

Step-by-step explanation:
Given


Required
Represent the width as an inequality
First, we represent the area as an inequality.

max as used above means less than or equal to.
So, we have:

The area of a rectangle is:

So, we have:

Substitute 10 for L

Divide both sides by 10



Answer: 5 feet
Step-by-step explanation: A rectangle is a quadrilateral with 4 sides. The opposite sides are parallel and have the same length.
Top and bottom of the window are opposite, so they have the same measure of 3 feet.
One length of the window is 5 feet. Since the last side is opposite to the length of the window, it has the same length, i.e., its value is 5 feet.