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After passing through polaroid A, the intensity becomes $I_1 = \frac{I_0}{2}$.
According to Malus's Law, after passing through polaroid B:
$I_2 = I_1 \cos^2 \theta = \frac{I_0}{2} \cos^2(45^\circ) = \frac{I_0}{2} \times \left( \frac{1}{\sqrt{2}} \right)^2 = \frac{I_0}{4}$.
A box contains 5 red, 3 blue, and 2 green balls. Two balls are drawn at random without replacement.
Total balls = 10
Use complement method:
P(at least one green)
= 1 − P(no green)
Balls without green = 8
J Limited makes furniture with a mark-up of 40%. A job 10 km away involves: Materials $400; Labour $240; Travel $2 per km each part of journey. What price will the company quote?
Option D ($952) is correct.
Travel = 10 km each way = 20 km × $2 = $40
Total cost = $400 + $240 + $40 = $680
Quoted price = $680 × 1.40 = $952
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