Answer:
Consider points (-1, 0) and (0, 1) :
![{ \tt{slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } }} \\ { \tt{slope = \frac{1 - 0}{0 - ( - 1)} }} \\ { \boxed{ \bf{slope = 1}}}](https://tex.z-dn.net/?f=%7B%20%5Ctt%7Bslope%20%3D%20%20%5Cfrac%7By%20_%7B2%7D%20%20-%20y%20_%7B1%7D%20%7D%7Bx%20_%7B2%7D%20-%20x%20_%7B1%7D%20%7D%20%7D%7D%20%5C%5C%20%7B%20%5Ctt%7Bslope%20%3D%20%20%5Cfrac%7B1%20-%200%7D%7B0%20-%20%28%20-%201%29%7D%20%7D%7D%20%5C%5C%20%7B%20%5Cboxed%7B%20%5Cbf%7Bslope%20%3D%201%7D%7D%7D)
Answer:The ball dropped 56 feet after 3 seconds
Step-by-step explanation:
Answer:
16848
Step-by-step explanation:
Given that the Mathematics Department of the University of Louisville consists of 8 professors, 6 associate professors, 13 assistant professors.
When a sample of 4 is taken without replacement such that every type of profession is represented.
Hence no of ways to select this = selecting 1 from each from one group and then last one from any one of the total
No of ways = ![8C1(6C1)(13C1)(8+6+13)C1\\= 8(6)(13) 27C1\\= 8(6)(13)(27)\\= 16848](https://tex.z-dn.net/?f=8C1%286C1%29%2813C1%29%288%2B6%2B13%29C1%5C%5C%3D%208%286%29%2813%29%2027C1%5C%5C%3D%208%286%29%2813%29%2827%29%5C%5C%3D%2016848)
Can we see what the problem is?