the length of the red line is 12
Answer:
g(x) = 3 cos (x+2)
Step-by-step explanation:
To transform functions use the following formula f(x) = a cos b(x -c) + d where:
- a stretches the function vertically
- b compresses or stretches it horizontally
- c shifts the function left or right
- d shifts the function up or down
Here a = 3 and c = 2.
So the new function is g(x) = 3 cos (x+2).
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:

Answer:
B. 12 pieces
Step-by-step explanation:
75 / 6 1/4 or 75 / 6.25 = 12