I have attached an image explaining how to solve this problem.
(“m” means slope)
The answer of your problem is C. Because 25 and 100 are related integers.
There are a total of 16 movies to choose from and 6 of them are comedy. This means that you have a 38% of choosing comedy. But the chances of you not choosing comedy is 62%. And since your friend is also choosing, the chance of neither of you not choosing is cut in half.
So, the final answer of neither of you choosing comedy is 31%
(I don't know whether it's dependent or independent)
<span>Call x the distance traveled
V = x / t = 89.5 = x / t => x = 89.5t
Rest time in hours = 22min * 1 h / 60 min = 11/30 h
Total time spent on the trip = t + 11/30
=> Average speed = 77.8 = x / (t + 11/30)=> x = 77.8 (t + 11/30)
=> 89.5t = 77.8 (t + 11/30)
=> 89.5t = 77.8t + 77.8 * 11/30
=> 89.5 – 77.8t = 28.527
=> 11.7 t = 28.527
=> t = 28.527 / 11.7
=> t = 2.44 h => t + 11/30 = 2.81 h
=> x = 89.5t = 89.5 * 2.44 = 218.3 km
Answers: a) 2.81 h; b) 218.3 h
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Answer:

Step-by-step explanation:
The equation of a circle:

(h, k) - center
r - radius
We have the center (4, -3) and the point on the circle (9, -3).
The length of radius is equal to the distance between a center and an any point on a circle.
The formula of a distance between two points:

Susbtitute:

The center (3, 7) → h = 3, k = 7.
Finally we have:
