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3 years ago

Please show your work thank you

Mathematics

1 answer:

AlladinOne [14]3 years ago

4 0

$\displaystyle\\\frac{LM}{QP}=\frac{NL}{RQ}\\\\\frac{8}{12}=\frac{x+7}{2x+5}\\\\8(2x+5)=12(x+7)\\16x+40=12x+84\\16x-12x=84-40\\4x=44\\\\x=\frac{44}{4}\\\\\boxed{x=11}\\RQ=2\cdot11+5=22+5\\\boxed{\bf RQ=27~~correct~answer: ~C.}\\\\NL=11+7 = 18\\MN=11+5=16\\PR=2\cdot11+2=22+2=24$

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Answer:

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E(X) = Σ x P(X = x)

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Given that exporter pays the $12 for each sweater. The woman pays $2 per sweater. The cost of shipment is $3 irrespective of the number of sweaters. Now, let m is the number of sweaters she made. Thus, the total cost she would have to pay would be

Total cost by woman = 2m+3

The total cost paid by the exporter would be = 12m.

Now the profit of woman would be given by,

= The total cost exporter pay – cost paid by the woman

= 12m – (2m +3)

= 12m – 2m -3

= 10m – 3.

Now expected profit made by the woman is given in the following table below:

E(Profit) = Σ profit* P(X = x)

In a similar way, as we have done in part (a).

E(Profit) = [17 * 0.1 + 27* 0.1+ 37* 0.2 + 47* 0.3 + 57* 0.2 + 67 * 0.1]

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Var(profit) = E(profit^2) – [E(profit)]^2

Var(profit) =

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E(profit^2) = 2137.

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Thus, the variance can be given as =

Var(profit)= 2137 – 1936

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3 years ago

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The answer is: " 27.5 pages " ; or, write as: " 27 $\frac{1}{2}$ pages " .
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