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Stolb23 [73]
3 years ago
13

A grocery store will only accept yellow onions that are at least 2.75 in. In diameter. A grower has a crop of onions with diamet

ers that are normally distributed, with a mean diameter of 2.5 in. And a standard deviation of 0.25 in. What percent of the onions will be accepted by the grocery store?
Mathematics
1 answer:
Paraphin [41]3 years ago
4 0

Answer:

Step-by-step explanation:

Calculate z-score firstly

z-score = (x-mean)/SD = (2.75-2.5)/0.25 = 0.25/0.25 = 1

P( x greater than or equal to 2.75) = P(z greater than or equal to 1)

= 1 - p(z <1)

P(z<1) from table = 0.84134

1-p(z<1) = 0.15866 or 15.866%

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___

Effectively, you are being asked to do polynomial division. This can be accomplished several ways. The method shown above is by factoring the numerator and cancelling the common factor from numerator and denominator.

You can also do this by synthetic division or long divison. The attachment shows synthetic division giving the same answer. (Numerous resources, including Wikipedia and You.Tube, are able to explain synthetic division in detail.)

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