nuccioreggie
  • nuccioreggie
The figure below shows a shaded circular region inside a larger circle: A shaded circle is shown inside another larger circle. The radius of the smaller circle is labeled as r and the radius of the larger circle is labeled as R. On the right side of the image is written r equal to 2 inches and below r equal to 2 inches is written R equal to 5 inches. What is the probability that a point chosen inside the larger circle is not in the shaded region?
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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nuccioreggie
  • nuccioreggie
The figure below shows a shaded circular region inside a larger circle: A shaded circle is shown inside another larger circle. The radius of the smaller circle is labeled as r and the radius of the larger circle is labeled as R. On the right side of the image is written r equal to 2 inches and below r equal to 2 inches is written R equal to 5 inches. What is the probability that a point chosen inside the larger circle is not in the shaded region? 84% 50% 42% 16%
nuccioreggie
  • nuccioreggie
@Michele_Laino please help last one
anonymous
  • anonymous
where is the figure?

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Michele_Laino
  • Michele_Laino
first step: we have to compute the area of both circle
Michele_Laino
  • Michele_Laino
circles*
anonymous
  • anonymous
Lol you don't need the figure for this one
nuccioreggie
  • nuccioreggie
1 Attachment
Michele_Laino
  • Michele_Laino
we have: A1= 3.14* 5*5=...? A2= 3.14*2*2=...?
nuccioreggie
  • nuccioreggie
78.5 12.56
Michele_Laino
  • Michele_Laino
correct! Now the probability to get a point inside the littlest circle, is: favorable cases/ possible cases= 12.56/78.5=...
nuccioreggie
  • nuccioreggie
0.16
nuccioreggie
  • nuccioreggie
so the answer is D
Michele_Laino
  • Michele_Laino
sorry, we have to compute the difference between those areas: 78.5-12.56=...?
nuccioreggie
  • nuccioreggie
65.94
Michele_Laino
  • Michele_Laino
correct!
Michele_Laino
  • Michele_Laino
now, the requested probability, is given by the subsequent formula: p= favorable cases / possible cases = 65.94/78.5=...?
nuccioreggie
  • nuccioreggie
0.84 SO ITS A
Michele_Laino
  • Michele_Laino
yes! that's right!
nuccioreggie
  • nuccioreggie
ok thanks
Michele_Laino
  • Michele_Laino
:)

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