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Inga [223]
3 years ago
13

The answer of this question

Mathematics
1 answer:
ella [17]3 years ago
7 0

Answer: Yes, it would be biased. If David asked the question about movies, however, it would not be.

Step-by-step explanation: It would be biased because he is asking listeners to his show who send fan mail. Fan mail is typically only sent by people who enjoy the creator. Therefor, he would be surveying only people who enjoy his podcast so the results would be heavily biased.  I am unsure about how the second part of the question relates to the first part. If David were to ask the same 100 individuals about their favorite movies rather than whether or not they liked his podcast, it would not contain biased results because he or his podcast does not have anything to do with movies. :)

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Check the picture below.

since the vertical distance, namely the y-coordinate, is twice as much as the horizontal, then if the horizontal is "x", the vertical one must be 2x.

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\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{x}\\ b=\stackrel{opposite}{2x}\\ \end{cases} \\\\\\ c=\sqrt{x^2+(2x)^2}\implies c=\sqrt{x^2+4x^2}\implies c=\sqrt{5x^2}\implies c=x\sqrt{5} \\\\[-0.35em] ~\dotfill

\bf sin(\theta )=\cfrac{\stackrel{opposite}{2~~\begin{matrix} x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }}{\stackrel{hypotenuse}{~~\begin{matrix} x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ \sqrt{5}}}\implies \stackrel{\textit{and rationalizing the denominator}~\hfill }{\cfrac{2}{\sqrt{5}}\cdot \cfrac{\sqrt{5}}{\sqrt{5}}\implies \cfrac{2\sqrt{5}}{(\sqrt{5})^2}\implies \cfrac{2\sqrt{5}}{5}}

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