Good (0) | P(x) - .067 | (3/10)(2/9)
Good (1) | P(x) - .467 | (7/10)(3/9) + (3/10)(7/9)
Good (2) | P(x) - .467 | (7/10)(6/9)
The odds added up give 14/30
<span>= 0.46666
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Answer: C) tan(pi/56)
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Explanation:
I recommend using a trig identity reference sheet. The specific identity we will be using is ![\frac{\tan(A)-\tan(B)}{1+\tan(A)\tan(B)} = \tan(A-B)](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctan%28A%29-%5Ctan%28B%29%7D%7B1%2B%5Ctan%28A%29%5Ctan%28B%29%7D%20%3D%20%5Ctan%28A-B%29)
What we are given is in the form
with A = pi/7 and B = pi/8
A-B = (pi/7)-(pi/8)
A-B = pi(1/7-1/8)
A-B = pi(8/56 - 7/56)
A-B = pi*(1/56)
A-B = pi/56
Therefore,
![\frac{\tan\left(\pi/7\right)-\tan(\pi/8)}{1+\tan(\pi/7)\tan(\pi/8)} = \tan\left(\pi/56\right)](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctan%5Cleft%28%5Cpi%2F7%5Cright%29-%5Ctan%28%5Cpi%2F8%29%7D%7B1%2B%5Ctan%28%5Cpi%2F7%29%5Ctan%28%5Cpi%2F8%29%7D%20%3D%20%5Ctan%5Cleft%28%5Cpi%2F56%5Cright%29)
The answer is True.
Hope I helped!
~ Zoe
Let me know if you need anything else!
Answer:
Charge the additional $0.10 even if you loose 1000 riders
Step-by-step explanation:
Original:
27,500 x $1.25 = $34,375
Charge additional $0.10 but loose 1000 riders:
(27,500 - 1000) x ($1.25 + $0.10)
26,500 x $1.35 = $35,775