Answer: 0.0228
Step-by-step explanation:
Given : The mean and the standard deviation of finish times (in minutes) for this event are respectively as :-

If the distribution of finish times is approximately bell-shaped and symmetric, then it must be normally distributed.
Let X be the random variable that represents the finish times for this event.
z score : 

Now, the probability of runners who finish in under 19 minutes by using standard normal distribution table :-

Hence, the approximate proportion of runners who finish in under 19 minutes = 0.0228
Answer:
positive
Step-by-step explanation:
The discriminant is positive
If there are 2 real roots ( where it crosses the x axis), then the discriminant is positive
Step-by-step explanation:
Equation of line is y-y1 = m(x-x1), where m is the slope and (x1,y1) is the given point.
y-2 = 1/4*(x-(-4))
y-2 = 1/4 * (x+4)
4*(y-2) = x+4
Equation of the line is,
x-4y = -12
Answer:
The answer is (-2,3)
Step-by-step explanation:
If you look at the coordinate plane, you'll notice that the x -values are negative and the y-values are positive. So, if you look at where the two lines meet, they meet at the point (-2,3).
Hope I helped!!!