Find the equation of a line that is parallel to the line x=4 and contains the point (-2,9)

  x=-2

Step-by-step explanation:

Since the original equation is x=4 which means that it is a straight line. For 2 lines to be parallel, they have to have the same slope. In this case, The slope is undefined because it is a straight line. To make a line that has the  points x= -2 and y=9, the line would just be x=-2.

x=-2 also has an undefined slope, so it is parallel. And if the line is straight the point -2,9 will eventually end up on the line.

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;