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Tutor profile: Roya A.

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Roya A.
Tutor for two years
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Questions

Subject: Applied Mathematics

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Question:

In the xy plane, the point A(c, 2c) lies on the graph of the equation 0.6x+0.3y=12. What is the value of c?

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Roya A.
Answer:

We substitute the coordinates of point A in the equation and solve for c: 0.6(c)+0.3(2c)=12 0.12c=12 c=10

Subject: LaTeX

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Question:

How we can write the linear version of the production function in Latex?

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Roya A.
Answer:

\begin{equation} \label{(1)} y_{it}= \beta_0+ \beta_l l_{it}+ \beta_k k_{it} + u_{it} \end{equation}

Subject: Statistics

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Question:

A certain box contains 4 red blocks, 5 blue blocks, and 3 yellow blocks. Judy will select one of these blocks at random from the box, put it back in the box, and then again select a block at random from the box. What is the probability that both of the blocks selected will be yellow?

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Roya A.
Answer:

We are looking for p(1st yellow and 2nd yellow). Two events are independent so we have: p(1st yellow and 2nd yellow)= P(1st yellow) *p( 2nd yellow) P(1st yellow) = 3/(4+5+3)= 1/4 Since we replace the block, the probability of the second one is also the same. Now we can compute the p(1st yellow and 2nd yellow) as below: p(1st yellow and 2nd yellow)=1/4*1/4= 1/16

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