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:
<h2>41.74 m²</h2>
Step-by-step explanation:
We have:
rectangle 4.8 m × 3.8 m
two triangles with base b = 4.8 m and height h = 2.6 m
two triangle with base b = 3.8 m and height h = 2.9 m.
The formula of an area of a rectangle l × w:
Substitute:
The formula of an area of a triangle:
Substitute:
The Surface Area:
Answer:
−
8
x
^2 + 10
x
Step-by-step explanation:
Answer:
Step-by-step explanation:
As 2 and 7 are the only prime divisors of both and we know that both can be written as:
Where is the set of all natural numbers adding the zero (careful because this part is important as I'll explain next).
We also know that 14 divides both numbers and that is actually the greatest common divisor between them. So we can rewrite a and b as follows:
Why do I write them like this? Because this way is easier to observe that if and were both greater than zero, then 28 would divide both hence 14 wouldn't be their g.c.d.. Likewise, if and were both greater than zero, then 98 would divide both and once again, 14 wouldn't be their g.c.d.
So either of them has to be equal to zero. And then we have that
All we have left to do is find the possible values for and so that and that only happens if and