If each student gets 65 on the next test, which explains the measure of center that would be most affected?

Mathematics

2 answers:

Darya [45]2 years ago

7 0

Answer:

Their means will be most affected because this value will be an outlier

Step-by-step explanation

I took the test and 65 is off of the percentage list :)

Gre4nikov [31]2 years ago

3 0

Their means will be most affected because this value will be an outlier.

Step-by-step explanation:

I am doing the test right now...

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Answer:

Infinite number of solutions

Step-by-step explanation:

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Use the angle sum identity for tangent. I don't remember it off the top of my head, but I do remember the ones for (co)sine.

$\tan(a+b)=\dfrac{\sin(a+b)}{\cos(a+b)}=\dfrac{\sin a\cos b+\cos a\sin b}{\cos a\cos b-\sin a\sin b}=\dfrac{\tan a+\tan b}{1-\tan a\tan b}$

By this identity, you have

$\tan((2x+3)+2h)=\dfrac{\tan(2x+3)+\tan2h}{1-\tan(2x+3)\tan2h}$

So in the limit you get

$\displaystyle\lim_{h\to0}\frac{\dfrac{\tan(2x+3)+\tan2h}{1-\tan(2x+3)\tan2h}-\tan(2x+3)}h$
$\displaystyle\lim_{h\to0}\frac{\tan(2x+3)+\tan2h-\tan(2x+3)(1-\tan(2x+3)\tan2h)}{h(1-\tan(2x+3)\tan2h)}$
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$f'(x)=\dfrac12\sec^2(2x+3)$

which agrees with the result you get from applying the chain rule.

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