<u><em>Answer:</em></u>
<u><em /></u>
<u><em>Explanation:</em></u>
<u>Before we begin, remember the following rules:</u>
<u>1- Distribution property:</u>
<u />
<u>2- Simplification of fractions:</u>
<u />
<u>3- Signs in multiplication:</u>
+ve * +ve = +ve
-ve * -ve = +ve
+ve * -ve = -ve
<u>Now, for the given problem, we have:</u>
<u></u>
<u>Starting with the distributive property:</u>
<u />
..................>This corresponds to option 1
<u>Now, we simplify the output from the above step:</u>
<u />
................> This corresponds to option 5
Hope this helps :)
Answer:
The mean is also increased by the constant k.
Step-by-step explanation:
Suppose that we have the set of N elements
{x₁, x₂, x₃, ..., xₙ}
The mean of this set is:
M = (x₁ + x₂ + x₃ + ... + xₙ)/N
Now if we increase each element of our set by a constant K, then our new set is:
{ (x₁ + k), (x₂ + k), ..., (xₙ + k)}
The mean of this set is:
M' = ( (x₁ + k) + (x₂ + k) + ... + (xₙ + k))/N
M' = (x₁ + x₂ + ... + xₙ + N*k)/N
We can rewrite this as:
M' = (x₁ + x₂ + ... + xₙ)/N + (k*N)/N
and (x₁ + x₂ + ... + xₙ)/N was the original mean, then:
M' = M + (k*N)/N
M' = M + k
Then if we increase all the elements by a constant k, the mean is also increased by the same constant k.
It’s in the 4th quadrant because the x value is 8 (positive ) so its on the right but the y value is -1 (negative) so it’s below the x-axis
.10x + .05y = 4.50
x + y = 30
Is the formula