Write an equation of the line containing the given point and perpendicular to the given line. ? (0? ,2? ); 9x+2y=3

The required equation is .

Step-by-step explanation:

The equation of the given line is

If a line is defined as , then slope of the line is

In the given equation a=9 and b=2. Slope of the line is

Product of slopes of two perpendicular line is -1.

Let the slope of required line be .

Slope of required line is and it passes through the point (0,2). It means the y-intercept of the line is 2.

The slope intercept form of a line is

where, m is slope and b is y-intercept.

Substitute m=2/9 and b=2 in the above equation.

Therefore the required equation is .

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;