FIND VALUE OF X AND Y

x = 54

y = 114

Step-by-step explanation:

y = 114 because of the Corresponding Angles  Theorem:

"If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent."

(x + 12) + y = 180

x + 12 + 114 = 180

x + (126 - 126) = (180 - 126)

x = 54

Quick Check:

54 + 12 + 114 = 180 ✔

answer:

sometimes

*i think

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;