Explanation:
Lets interpret Z with M trials. First we have M trials, each trial can be a success or not. The number of success is called N. Each trial that is a success becomes a trial, and if it is a success it becomes a success for Z. Thus, in order for a trial to be successful, it needs first to be successful for the random variable N (and it is with probability q), and given that, it should be a success among the N trials of the original definition of Z (with probability p).
This gives us that each trial has probability pq of being successful. Note that this probability is pq independently of the results of the other trials, because the results of the trials of both N and the original definition of Z are independent. This shows us that Z is the total amount of success within M independent trials of an experiment with pq probability of success in each one. Therefore, Z has Binomial distribution with parameters pq and M.
Answer:
3.8
Step-by-step explanation:
Slope formula- m = y2 - y1
x2 - x1
x1, y1
2.1, 3.8
7.6 - 3.8
3.1 - 2.1 = 3.8
x2,y2
3.1, 7.6
it would be 7 lolz dheisns
Answer:
25 ft
Step-by-step explanation:
The diagram shows two triangles that are similar. Similar triangles have equal angles and sides that are proportional to each other. Since the base of each triangle is given, we can find the proportion of the sides:
Given the ratio of the smaller to larger triangle, we can set up a proportion to find the missing height of the larger triangle:
, where 'x' represent the height of the tree
cross-multiply: x = (5)(5) or 25 ft
