Answer:
To find the LCM you must find all factors of the numbers, and then multiply all the factors together including the ones that are not shared among the numbers.
For example,
Factors of 10: 2×5
Factors of 30: 2×3×5
LCM of 10 and 30: 2×3×5 = 30
However do note not to multiply a factor more than once if it is shared among two numbers.
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:
Option B is correct - this experiment has one factor (shampoo type), blocked by gender and whether the hair is dyed.
Step-by-step explanation:
The researcher desires to compare the effect of a new type of shampoo, he also has the opinion that men and women may react to the shampoo differently.
Furthermore, he believes that the shampoo will react differently to the hair that is dyed.
Therefore, this experiment has one factor(shampoo-type), blocked by gender and whether the hair is dyed.
Hence, option B is the correct option.
4x-3=9x-13
10=5x
2=x
So these functions intersect when x=2.
I guess its 3.5x (edited) .....