HELP QUICK PLEASReview the given functions. j (x) = 51 cosine (x + StartFraction pi Over 2 EndFraction) + 24 k (x) = 51 cosine (x minus StartFraction 3 pi Over 4 EndFraction) + 24 What is the transformation of function j(x) to function k(x)? a shift left StartFraction pi Over 4 EndFraction units a shift left StartFraction 5 pi over 4 EndFraction units a shift right StartFraction pi Over 4 EndFraction units a shift right StartFraction 5 pi over 4 EndFraction units

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get

47 - 90 = 43

43 - 180 = x

x = 137

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;