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Arlecino [84]
3 years ago
11

Marta went to the farmer's market to buy oranges. The oranges that are 3 inches in diameter cost 25 cents per dozen. The oranges

that are 4 inches in diameter are 50 cents per dozen. Marta chose the 3-inch oranges. Did she make the more economical decision? Explain your answer?
Mathematics
1 answer:
grigory [225]3 years ago
5 0

Answer: no

Step-by-step explanation:

If we consider the volume of each orange ( we have considered the orange as a perfect sphere)

we have the volume=(4/3) * π R^3 where is the orange radius

for 3 inch diameter de volume is =1.33*3.1415*3.37 inch^3

for 4 inch diameter de volume is =1.33*3.1415*8 inch^3

Taking into account a dozen of oranges we have to multiplier by 12 both orange volume are:

V dozen 3-inch= 40.44 inch^3 (paying 25 cent)

V dozen 4-inch= 96.00 inch^3 (paying 50 cent)

If she want to buy more that one dozen is economical  better choose  the 4 inch oranges

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Answer:

p value from chi square = 0.081

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Given that sociologists say the percentage of the classic music lovers is about 5%. From the survey, we know that only 83 out of 2000 people listen to the classic music. Let denote the proportion of the classic music lovers. The hypotheses are H0: p=0.05 vs Ha: p≠0.05

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Observed       83           1917       2000

Expected        100          1900     2000

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