Answer:
27
27 - 2 is 25, and 16 + 9 = 25
Answer:
Step-by-step explanation:
-10x-16
Answer:
The blanks are 8 and 16
Step-by-step explanation:
Distribute the 8:
8(n + 2) = 8*n + 8*2 = 8n + 16
The mean absolute deviation of the following set of data is 4.5
Step-by-step explanation:
We need to find the mean absolute deviation of the following set of data.
10,20,12,4,18,8,14,18
For finding mean absolute deviation, first we need to find the mean of the given data set.
The formula used to calculate mean is:
Sum of all data points: 10+20+12+4+18+8+14+18 = 104
Number of data points = 8
So, mean is:
Now, we will subtract 13 from the given data points:
10 - 13 = -3
20 - 13 = 7
12 - 13 = -1
4 - 13 = -9
18 -13 = 5
8 - 13 = -5
14 - 13 = 1
18 - 13 = 5
We will take absolute values i.e |-a|=a
So, now the numbers will be:
3,7,1,9,5,5,1,5
We will now find absolute mean deviation by finding mean of newly calculate values
Sum of all data points = 3+7+1+9+5+5+1+5
Number of data points = 8
So, the mean absolute deviation of the following set of data is 4.5
Using the two given solutions and the general absolute value function we will get:
|x + 9| = 27
<h3>
Which absolute value function has that solution set?</h3>
The two solutions are:
x = 0 and x = -18.
Remember that the absolute value equation is something like:
|x - a| = b
If we want to have these solutions, then:
|0 - a| = b
|-18 -a| = b
From the first one, we have:
|-a| = b
Replacing that on the second equation we get:
|-18 -a| = |-a|
Notice that if we take a = -9, then we have:
|-18 + 9| = |+9|
|-9| = |+9|
This is true, so a = -9.
Then we find the value of b:
|18 + 9| = b = 27
Then the absolute value equation is:
|x + 9| = 27
If you want to learn more about absolute value equations, you can read.
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