Identify the x-coordinate for the solution to the system of equations. Solve the system using substitution. y=2x-11

4x + 3y =-13

x = 2

Step-by-step explanation:

To solve using substitution, substitute 2x - 11 as y in the second equation:

4x + 3y = -13

4x + 3(2x - 11) = -13

Simplify and solve for x:

4x + 6x - 33 = -13

10x - 33 = -13

10x = 20

x = 2

So, the answer is x = 2

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;