Which of the following expressions is equivalent to 4(2k + 7) – 5k(6k-2) ? A 30k2 + 2k + 28
B. -30k2 – 2k + 28
C. 30k2 + 18k + 28
D. -30k2 + 18k + 28

(the 2s next to the 30s mean to the second power)

D

Step-by-step explanation:

ab will be equal to

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;