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Mason K.

Junior Chemical Engineering student at Texas A&M

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Basic Math

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Question:

If I roll three dice at the same time that I flip two coins, what is the chance of rolling all 6's and flipping all heads?

Mason K.

Answer:

Each die has a 1/6 chance of landing on 6, and each coin has a 1/2 chance of landing on heads. To find the probability of rolling all 6's and flipping all heads, we multiply the probabilities of each event together. There are three (1/6) terms, one for each die, and two (1/2) terms, one for each coin. (1/6)*(1/6)*(1/6)*(1/2)*(1/2)=1/864.

Basic Chemistry

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Question:

Rank the following elements in order of increasing electronegativity: P, O, As, N How did you come to your conclusion?

Mason K.

Answer:

As, P, N, O Electronegativity increases as you move up columns and to the right of rows on the periodic table. As is below P, so it has the lowest electronegativity. P is above As but below N, so it will land between As and N. N is above As and P, but to the left of O, so N will be second in electronegativity to O.

Algebra

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Question:

How many real roots does the following equation contain? If there are any, what are they? y = 12x^2 - 7x + 3

Mason K.

Answer:

Using the quadratic formula: x = [-b +- sqrt(b^2 - 4*a*c)] / 2*a Where a = 12; b = -7; c = 3 x = [7 +- sqrt( (-7)^2 - 4*12*3) / 2*12 x = [7 +- sqrt(49 - 144)] / 24 x = [7 +- sqrt(-95)] / 24 x = [7 + sqrt(95)i] / 24 & x = [7 - sqrt(95)i] / 24 Because the final roots contain i, there are no real roots.

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