Arandom sample is used to estimate the mean time required for caffeine from products such as coffee or soft drinks to leave the body after consumption. a 95% confidence interval based on this sample is: 5.6 hours to 6.4 hours (for adults).

Sample size n = 96.04

Explanation:

Given the interval is 5.6 hours to 6.4 hours

Let x be the midpoint, then x = (5.6+6.4)/2 = 6

Let E be the radius, then E = (6.4-5.6)/2 = 0.8/2 = 0.4

σ = 2 hours; as standard deviation is given and α = 0.05

Therefore, the sample size is:

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)