Manny has a piece of ribbon that is 1/3 yard long . he cut it into 2 equal lengths to make bookmarks. how long is each piece of ribbon ? a.2/3 a yard b. 2/6 a yard c. 1/2 a yard or d. 1/6 a yard

➷ Just divide it by 2:

(1/3) / 2 = 1/6

Therefore, your answer would be D. 1/6 a yard

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d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;