How long is the arc intersected by a central angle of pi/3 in a circle with a radius of 6 ft? round your answer to the nearest tenth. pls a. 1.0 ft b. 5.7 ft c. 6.3 ft d. 7.0 ft

c. 6.3 ft

Explanation:

Since, the length or an arc = , where r is the radius of the circle, and is the central angle made by the arc.

Here, radius of the circle = 6 ft.  

And,

Thus, the length of the arc= = = 6.28571429 ≈6.3 ft

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;

i have no idea just need points sorry

step-by-step explanation: