anonymous
  • anonymous
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
Mathematics
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anonymous
  • anonymous
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
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
JoannaBlackwelder
  • JoannaBlackwelder
Can you find the probability of unusability using the 320 bolts with 30 of them unusable?
anonymous
  • anonymous
320 * 30?

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JoannaBlackwelder
  • JoannaBlackwelder
No, it's the same formula as last time.
JoannaBlackwelder
  • JoannaBlackwelder
(number of unusable/total number)*100
anonymous
  • anonymous
@JoannaBlackwelder Well 30 were unusuable it said and the total number was 14,000, so it's 30 / 14,00 * 100?
JoannaBlackwelder
  • JoannaBlackwelder
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.
anonymous
  • anonymous
Ok, so then it would be 30/320 right?
JoannaBlackwelder
  • JoannaBlackwelder
Right, *100 :-)
anonymous
  • anonymous
And then that is 0.09 and I would times that by 100 ?
JoannaBlackwelder
  • JoannaBlackwelder
Yep
anonymous
  • anonymous
And that's 9.37
JoannaBlackwelder
  • JoannaBlackwelder
Yep, I get 9.375 to be precise. :-)
anonymous
  • anonymous
Lol, right, so then...is there another step? To get it to be one of the answers?
JoannaBlackwelder
  • JoannaBlackwelder
Then we can use that value in the same formula, but when the total is 14,000
JoannaBlackwelder
  • JoannaBlackwelder
So, 9.375=(number unusable/14,000)*100
JoannaBlackwelder
  • JoannaBlackwelder
See how I wrote that formula?
anonymous
  • anonymous
Lol, not really...I got 0.066
JoannaBlackwelder
  • JoannaBlackwelder
It is probability = (number unusable/total number)*100
JoannaBlackwelder
  • JoannaBlackwelder
How did you get .066?
anonymous
  • anonymous
I did 9.375 / 14000 * 100
JoannaBlackwelder
  • JoannaBlackwelder
No, the 9.375 is the probability, not the number of unusable.
JoannaBlackwelder
  • JoannaBlackwelder
|dw:1432918347029:dw| Any ideas how to solve?
anonymous
  • anonymous
Oh, okay, so...30 is still the number of unsuable then I divide that by 14000 and times it by 100?
JoannaBlackwelder
  • JoannaBlackwelder
No, the number unusable is what we are solving for in the equation I wrote above.
JoannaBlackwelder
  • JoannaBlackwelder
No, the 14000 is in the denominator and 100 is in the numerator, so we don't multiply those.
JoannaBlackwelder
  • JoannaBlackwelder
|dw:1432918612846:dw|
anonymous
  • anonymous
Oh so 100 divided by 14000 which is 0.007?
JoannaBlackwelder
  • JoannaBlackwelder
To clear the fraction, we can multiply both sides by 14000|dw:1432918686742:dw|
JoannaBlackwelder
  • JoannaBlackwelder
Yeah, we could do it that way too. :-)
JoannaBlackwelder
  • JoannaBlackwelder
9.375=0.00714unusable
JoannaBlackwelder
  • JoannaBlackwelder
Can you finish solving for unusable?
anonymous
  • anonymous
Yeah, so rounding it up it would be 1, 313? unusable Right?
JoannaBlackwelder
  • JoannaBlackwelder
Yep :-D
anonymous
  • anonymous
@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 :)
JoannaBlackwelder
  • JoannaBlackwelder
No worries. It takes practice. :-) Happy studies!

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