Match the justification to each step of the algebraic proof to solve the equation:

Step-by-step explanation:

First Line

- Given Equation

Second Line

- Subtraction Property of equality (7 was subtracted from both sides of the equation)

Third Line

- Distributive property (The parenthesis was expanded)

Fourth Line

- Subtraction Property of equality (2x was subtracted from both sides of the equation)

Fifth Line

- Addition Property of equality (1 was subtracted from both sides of the equation)

Sixth Line

- Division property of equality (5 was divided from both sides of the equation)

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;