Which graph accurately indicates the region, shaded in green, that would determine the solution for
2 answers:
Answer:
Second graph
Step-by-step explanation:
Given inequality,
| x + 7 | - 2 ≥ 0
| x + 7 | ≥ 2
x + 7 ≥ ± 2
x ≥ -7 ± 2
⇒ x ≥ -7 + 2 or x ≥ -7 - 2
⇒ x ≥ -5 or x ≥ -9,
Thus, in the shaded region x ≥ -5 or x ≥ -9,
In the given graphs, the shaded region represents by green,
In the first graph, green line lies in the region -9 ≤ x ≤ -5
Thus, it can not be the graph of the given inequality,
In the second graph, green line lies in the region x ≥ -5 or x ≥ -9
Hence, second graph would be the answer.
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Answer: a) Mean = 5, Median = 5
b) Mean = 15, Median = 5
c) Due to presence of outlier i.e. 99.
Step-by-step explanation:
Since we have given that
1,2,3,4,5,6,7,8,9
Here, n = 9 which is odd
So, Mean would be
Median =
If 9 is replaced by 99,
1,2,3,4,5,6,7,8,99
So, mean would be
Median would be same as before i.e. 5
The mean is neither central nor typical for the data due to outlier i.e. 99
Hence, a) Mean = 5, Median = 5
b) Mean = 15, Median = 5
c) Due to presence of outlier i.e. 99.