5. what is the length of an arc that subtends a central angle of 75° in a circle whose radius is 5 inches? round off your answer to the nearest whole number. a. 7 b. 4 c. 16 d. 21

Step-by-step explanation:

The formula for the arc (s) of a circle is

where θ is measured in degrees.

Data:

r = 5 in

θ = 75°

Calculation:

hey i’m new i won’t be answering any questions now bye peeps see you next time

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;