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nuccioreggie

  • one year ago

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?

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  1. nuccioreggie
    • one year ago
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    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%

  2. nuccioreggie
    • one year ago
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    @Michele_Laino please help last one

  3. anonymous
    • one year ago
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    where is the figure?

  4. Michele_Laino
    • one year ago
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    first step: we have to compute the area of both circle

  5. Michele_Laino
    • one year ago
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    circles*

  6. anonymous
    • one year ago
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    Lol you don't need the figure for this one

  7. nuccioreggie
    • one year ago
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  8. Michele_Laino
    • one year ago
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    we have: A1= 3.14* 5*5=...? A2= 3.14*2*2=...?

  9. nuccioreggie
    • one year ago
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    78.5 12.56

  10. Michele_Laino
    • one year ago
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    correct! Now the probability to get a point inside the littlest circle, is: favorable cases/ possible cases= 12.56/78.5=...

  11. nuccioreggie
    • one year ago
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    0.16

  12. nuccioreggie
    • one year ago
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    so the answer is D

  13. Michele_Laino
    • one year ago
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    sorry, we have to compute the difference between those areas: 78.5-12.56=...?

  14. nuccioreggie
    • one year ago
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    65.94

  15. Michele_Laino
    • one year ago
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    correct!

  16. Michele_Laino
    • one year ago
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    now, the requested probability, is given by the subsequent formula: p= favorable cases / possible cases = 65.94/78.5=...?

  17. nuccioreggie
    • one year ago
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    0.84 SO ITS A

  18. Michele_Laino
    • one year ago
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    yes! that's right!

  19. nuccioreggie
    • one year ago
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    ok thanks

  20. Michele_Laino
    • one year ago
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    :)

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