What is the equation of the line is perpendicular to the given line and passes through the point (3,4)?

y = 3x-5

Step-by-step explanation:

The slope of the line on the graph is -1/3. Perpendicular lines have slopes which are negative reciprocals of each other. This makes the slope of the new line 3.

Substitute the values m=3 and the point (3,4) into point slope form and simplify.

y - 4 = 3(x - 3)

y - 4 = 3x - 9

y = 3x -9 + 4

y = 3x - 5

1/4 because there is 4 grades.

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;