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:
3
⋅
x
x
+
y
Explanation:
The product of 3 and x divided by the sum of x and y is
P
r
o
d
u
c
t
o
f
3
and
x
S
u
m
o
f
x
and
y
.
Okay break it into smaller parts. The product of
3
and
x
is
3
⋅
x
um of
x
and
y
is
x
+
y
Now, we get
3
⋅
x
x
+
y
and that's it
96 necklaces
You divide the amount of beads total by the amount of beads on each necklace.
( 8160 divided by 85 and 2880 by 30)
Answer:
Graph C
Step-by-step explanation:
We know the speed is equal to one and a half times the square root of the length. This means that speed is the dependent variable (y), and length is the independent variable (x).
Since the speed, S(x), is 1.5 times the square root of the length (x), we get the function
S(x) = 1.5√x.
When x = 0, S(x) = 1.5√0 = 1.5(0) = 0. This makes it graph C.