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:
Depening in the scale factor
Step-by-step explanation:
Figure 1 can be dilated into a bigger version that forms figure 2 or a smaller version
Answer:
The value of 
.
Step-by-step explanation:
Given:
We need to solve this equation.
Solution:
First combining equation having same denominators we get;
Now denominators are common so we will solve the numerators we get;
Now by cross multiplication we get;
Now Applying distributive property we get;
Now Combining the like terms we get;
Hence on solving we get the value of .
Answer:
ikcdha b s hyt jh jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj
We have to evaluate cos(2θ), knowing that θ is in the first quadrant and in standard position P(u,v) = (3,4).
We can picture this as:
We can write the relation:
We now look at the identities to find cos(2θ):
There are many identities for cos(2θ), but this is expressed in the information we already know, so we can solve as:
Answer: cos(2θ) = -7/25
