jjxt126
28.06.2020 •
Mathematics
What are the values of a and b in the relative frequency table for the survey results? Round answers to the nearest percent. a = 12%, b = 17% a = 12%, b = 18% a = 40%, b = 18% a = 41%, b = 63%
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Ответ:
The data that we have is:
Carrots = 84
Turnips = 25
Both = 17
Neither = 15
Root vegetables = 84 + 25 - 17 + 15 = 107
"a" is the percentage of carrots that also are turnips.
we know that 17 carrots are also turnips. so the relative frequency is:
17/107 = 0.158, in percent form this can be rounded to 16%.
b is the number of NOT carrots, that also are turnips.
This will be equal to the 25 turnips minus the 17 turnips that also are carrots
25 - 17 = 8
So we have 8 turnips that are not carrots.
Then we have:
b = 8/107 = 0.075
rounded to the nearest percent we get b = 8%.
So the values do not coincide with the options, and neither some of the data, for example the carrots that are not turnips are:
84 total carots, 17 of them are turnips, so we have 84 - 17 carrots that are not turnips:
84 - 17 = 67
then the relative frequency is:
P = 67/107 = 0.626, rounded to the nearest percent we get 63%
So there may be a number wrong in the diagram.
Ответ: