Answer:
5
Step-by-step explanation:
The area of a rectangle is given by base x height = 1 x 5 = 5
In my opinion, Darrin's inference is wrong because according to given question, "<em>Darrin surveyed a random sample of 10 students from his science class about their favorite types of TV shows.</em><em>"</em><em> </em>
This line provides the information that the survey is taken randomly. Also, if Darrin had taken some other students, then the ineference of other new students compared with previously surveyed students will be different.
This frankly tells that <em>t</em><em>h</em><em>e</em><em> </em><em>p</em><em>r</em><em>o</em><em>b</em><em>a</em><em>b</em><em>i</em><em>l</em><em>i</em><em>t</em><em>y</em><em> </em><em>i</em><em>s</em><em> </em><em>d</em><em>i</em><em>f</em><em>f</em><em>e</em><em>r</em><em>e</em><em>n</em><em>t</em><em> </em><em>a</em><em>l</em><em>w</em><em>a</em><em>y</em><em>s</em><em>.</em>
Therefore, Darrin's inference is wrong or invalid.
Answer:
7w<u> > </u>5w + 50
Step-by-step explanation:
The expression that is not a variation of the Pythagorean identity is the third option.
<h3>
What is the Pythagorean identity?</h3>
The Pythagorean identity can be written as:

For example, if we subtract cos^2(x) on both sides we get the second option:

Which is a variation.
Now, let's divide both sides by cos^2(x).

Notice that the third expression in the options looks like this one, but the one on the right side is positive. The above expression is in did a variation of the Pythagorean identity, then the one written in the options (with the 1 instead of the -1) is incorrect, meaning that it is not a variation of the Pythagorean identity.
Concluding, the correct option is the third one.
If you want to learn more about the Pythagorean identity, you can read:
brainly.com/question/24287773
Do Pythagorean theorem. If you don't know what that is...
Do A squared plus B squared Equals C squared and you will get your answer for the shape. Then calculate the area