Answer:
Thus # 2 is correct (5 (y + 4))/2
Step-by-step explanation:
Simplify the following:
(5 y (y^2 - 16))/(2 y (y - 4))
(5 y (y^2 - 16))/(2 y (y - 4)) = y/y×(5 (y^2 - 16))/(2 (y - 4)) = (5 (y^2 - 16))/(2 (y - 4)):
(5 (y^2 - 16))/(2 (y - 4))
y^2 - 16 = y^2 - 4^2:
(5 (y^2 - 4^2))/(2 (y - 4))
Factor the difference of two squares. y^2 - 4^2 = (y - 4) (y + 4):
(5 (y - 4) (y + 4))/(2 (y - 4))
Cancel terms. (5 (y - 4) (y + 4))/(2 (y - 4)) = (5 (y + 4))/2:
Answer: (5 (y + 4))/2
We have been given that there are 125 people and three door prizes.
In the first part we need to figure out how many ways can three door prizes of $50 each be distributed?
Since there are total 125 people and there are three identical door prices, therefore, we need to use combinations for this part.
Hence, the required number of ways are:

In the next part, we need to figure out how many ways can door prizes of $5,000, $500 and $50 be distributed?
Since we have total 125 people and there are three prices of different values, therefore, the required number of ways can be figured out by using permutations.

Answer:
Cluster
Step-by-step explanation:
According to the Question,
- Given this, Daimler−Chrysler randomly selects 100 service centers during a certain week and surveys all customers visiting the service centers.
This is a Cluster type of Sampling.
- Cluster sampling is a type of sampling method in which the population under study is divided into different groups known as clusters before simple random samples are selected from each population cluster. The analysis of such a population is carried out based on the sampled clusters.
- This method is adopted when a researcher does not have access to the whole population under research.
Advantages of cluster sampling
- The research method only needs fewer resources.
- The sample under review is feasible.
Note: Cluster sampling is not as accurate as simple or stratified random sampling.
Answer: 
Step-by-step explanation:
Given: The height of female giraffe = 4.3 meters
The height of male giraffe = 5.5 meters
Let y be the difference in the heights of female giraffe and male giraffe.
The equation to find the difference in the heights=
Therefore, the difference in the heights y =1.2 meters
Hence, the difference in the heights of female giraffe and male giraffe is 1.2 meters.