Answer:
a) For this case we can use the definition of weighted average given by:

And if we replace the values given we have:

b) 
c) 
Step-by-step explanation:
Assuming the following question: "One sample has a mean of M=8 and a second sample has a mean of M=16 . The two samples are combined into a single set of scores.
a) What is the mean for the combined set if both of the original samples have n=4 scores
"
For this case we can use the definition of weighted average given by:

And if we replace the values given we have:

b) what is the mean for the combined set if the first sample has n=3 and the second sample has n=5
Using the definition we have:

c) what is the mean for the combined set if the first sample has n=5 and the second sample has n=3
Using the definition we have:

The answer is: 10
Hope this helps! (:
Answer:
x² - 2x + 3
Step-by-step explanation:
y = (x - 1)² + 2
= (x - 1)² + 2 [a - b]² = <em><u>a²- 2ab + b²</u></em>
= x²- 2x + 1 + 2
= x² - 2x + 3
Thus, the standard form of the equation is x² - 2x + 3