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anonymous

  • one year ago

A worker takes a random sample of 320 bolts and finds that 30 of them are either too long or too short, thus making them unusable. Estimate the number of unusable bolts in a production of 14,000 bolts. 1,313 bolts 1,400 bolts 1,300 bolts 1,320 bolts

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  1. anonymous
    • one year ago
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    @JoannaBlackwelder

  2. JoannaBlackwelder
    • one year ago
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    Can you find the probability of unusability using the 320 bolts with 30 of them unusable?

  3. anonymous
    • one year ago
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    320 * 30?

  4. JoannaBlackwelder
    • one year ago
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    No, it's the same formula as last time.

  5. JoannaBlackwelder
    • one year ago
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    (number of unusable/total number)*100

  6. anonymous
    • one year ago
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    @JoannaBlackwelder Well 30 were unusuable it said and the total number was 14,000, so it's 30 / 14,00 * 100?

  7. JoannaBlackwelder
    • one year ago
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    We don't know how many are unusable when we have 14,000 total. That is what we are looking for. But we have both numbers when the total is 320 and the number unusable is 30.

  8. anonymous
    • one year ago
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    Ok, so then it would be 30/320 right?

  9. JoannaBlackwelder
    • one year ago
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    Right, *100 :-)

  10. anonymous
    • one year ago
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    And then that is 0.09 and I would times that by 100 ?

  11. JoannaBlackwelder
    • one year ago
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    Yep

  12. anonymous
    • one year ago
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    And that's 9.37

  13. JoannaBlackwelder
    • one year ago
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    Yep, I get 9.375 to be precise. :-)

  14. anonymous
    • one year ago
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    Lol, right, so then...is there another step? To get it to be one of the answers?

  15. JoannaBlackwelder
    • one year ago
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    Then we can use that value in the same formula, but when the total is 14,000

  16. JoannaBlackwelder
    • one year ago
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    So, 9.375=(number unusable/14,000)*100

  17. JoannaBlackwelder
    • one year ago
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    See how I wrote that formula?

  18. anonymous
    • one year ago
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    Lol, not really...I got 0.066

  19. JoannaBlackwelder
    • one year ago
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    It is probability = (number unusable/total number)*100

  20. JoannaBlackwelder
    • one year ago
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    How did you get .066?

  21. anonymous
    • one year ago
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    I did 9.375 / 14000 * 100

  22. JoannaBlackwelder
    • one year ago
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    No, the 9.375 is the probability, not the number of unusable.

  23. JoannaBlackwelder
    • one year ago
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    |dw:1432918347029:dw| Any ideas how to solve?

  24. anonymous
    • one year ago
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    Oh, okay, so...30 is still the number of unsuable then I divide that by 14000 and times it by 100?

  25. JoannaBlackwelder
    • one year ago
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    No, the number unusable is what we are solving for in the equation I wrote above.

  26. JoannaBlackwelder
    • one year ago
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    No, the 14000 is in the denominator and 100 is in the numerator, so we don't multiply those.

  27. JoannaBlackwelder
    • one year ago
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    |dw:1432918612846:dw|

  28. anonymous
    • one year ago
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    Oh so 100 divided by 14000 which is 0.007?

  29. JoannaBlackwelder
    • one year ago
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    To clear the fraction, we can multiply both sides by 14000|dw:1432918686742:dw|

  30. JoannaBlackwelder
    • one year ago
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    Yeah, we could do it that way too. :-)

  31. JoannaBlackwelder
    • one year ago
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    9.375=0.00714unusable

  32. JoannaBlackwelder
    • one year ago
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    Can you finish solving for unusable?

  33. anonymous
    • one year ago
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    Yeah, so rounding it up it would be 1, 313? unusable Right?

  34. JoannaBlackwelder
    • one year ago
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    Yep :-D

  35. anonymous
    • one year ago
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    @JoannaBlackwelder Thank you kindly for your help, and also for being so patient, lol as you can see I'm really not the best at math. XP :)

  36. JoannaBlackwelder
    • one year ago
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    No worries. It takes practice. :-) Happy studies!

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