Answer:
The answer is
Step-by-step explanation:
To find an equation of a line given the slope and a point we use the formula
where
m is the slope
( x1 , y1) is the point
From the question the point is (−5, 6) and slope = 3
The equation of the line is
We have the final answer as
Hope this helps you
The empirical rule you're referring to is the 68-95-99.7 rule, which asserts that for a normal (bell-shaped) distribution, approximately 68% of the distribution lies within 1 standard deviation of the mean; 95% lies within 2 standard deviations of the mean; and 99.7% lies within 3 standard deviations of the mean.
Let be the random variable denoting vehicle speeds along this highway. We want to find
. To use the rule, we need to rephrase this probability in terms of the mean and standard deviation.
Notice that , and
. In other words, 61 and 79 both lie exactly 3 standard deviations away from the mean, so
.
