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Tutor profile: Ozan H.

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Ozan H.
Tutor for the last ten years; Primary School to University Students – MSc Business & Economics
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Questions

Subject: German

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Question:

Ben spricht Französisch, denn seine Mutter und sein Vater sprechen Französisch. Er lernt Deutsch in der Schule. Französisch ist seine _________________.

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Ozan H.
Answer:

Muttersprache

Subject: Statistics

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Question:

In a population where a small amount of people earn a big proportion of the sum of earnings – would you choose the median or the mean of salaries to give a consistent image of the income in this population?

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Ozan H.
Answer:

The median – since the median is particularly handy to describe data with a significant skew or long tail. For example, if we looked at incomes, a small number of rock-stars, corporate executives and hedge-fund managers each taking home multi-million dollar salaries. These outliers carry more weight in the calculation of the mean than they do in the median calculation. Mean income is higher than median income. The median income would be closer to something we associate with middle-class.

Subject: Algebra

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Question:

Which of the following lines is not perpendicular to the line with equation $$2y + 5x = -11$$ ? A ) $$5y = 2x + \dfrac{3}{2}$$ B ) $$y = -\dfrac{5}{2}x + 6$$ C ) $$10y - 5 = 4x$$ D ) $$-5y = -2x -4$$

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Ozan H.
Answer:

Step one is to find out the slope of our equation: We achieve this by moving things to the $$y=mx+b$$ form $$2y + 5x = -11 $$, substract 5x $$2y = -11 - 5x$$, divide by 2 and move things to the $$y=mx+b$$ form. $$y = -\dfrac{5}{2}x-\dfrac{11}{2}$$ Therefore the slope is $$-\dfrac{5}{2}$$. The negative reciprocal, or a line that is perpendicular, would have a slope of $$\dfrac{2}{5}$$. All the answer choices have a slope of $$\dfrac{2}{5}$$ except answer choice B), which has a slope of $$-\dfrac{5}{2}$$. Therefore, the answer is B ).

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