If cos 12° = m, write down the following in terms of m;
a. sin 168°
b. cos 192°
c. tan 372°​

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;

during a construction project, engineers used explosives to excavate 140 feet of tunnel into a mountain. but because of time constraints and environmental concerns, they brought in a tunnel boring machine (tbm) to excavate the rest of the tunnel. the data table lists some observations an engineer made about the length of the tunnel after the tbm was introduced.

which equation represents the length of the completed tunnel based on the number of days since tbm was introduced?

the answer is y = 45x + 140