Answer: 1 right angle is the maximum
Answer:
The mean for the combined sample = 6.
Step-by-step explanation:
We have been given that one sample of n = 10 scores has a mean of M = 8.
So the sum of 10 scores for 1st sample will be: 
We are also told that second sample of n = 5 scores has a mean of M = 2.
So the sum of 5 scores for 2nd sample will be: 
When the both samples are combined, so total points will be:
and total scores will be
.



Therefore, the mean for the combined sample will be 6.
Answer:
or 
Step-by-step explanation:
Substitution means plugging in one variable's value that consists of the opposite variable. Because
is already specified, you can plug it into the second equation's
value. After doing that, it looks like this:

Then you would distribute the
across the parentheses next to it, like this:

Then, add like terms, like this:

Then divide both side by
to isolate
.

Now, you can plug
(
) into either equation, but the first one seems simpler so you would pick that. It would look like this:

Solving would look like this:

So the answer is
or
.
Answer:
3.728 cm²
90
Step-by-step explanation:
To built the envelope I am using a rectangular piece of material 28 m long and 12 m wide.
Out of this material, I have to cut patches that are 1/12 the length and 2/15 the width of the whole material.
So, the length of the patches is
m and the width of the patches is
m.
Therefore, the area of the patches is (1.6 × 2.33) = 3.728 m² each. (Answer)
Now, the area of the rectangular piece of material is (28 × 12) = 336 m²
Hence,
≈ 90 such patches can be made out of the whole material. (Answer)