Answer:
You could just replace all the given possible values of k in the inequality and see which ones are solutions, but let's solve this in a more interesting way:
First, remember how the absolute value works:
IxI = x if x ≥ 0
IxI = -x if x ≤ 0
Then if we have something like:
IxI < B
We can rewrite this as
-B < x < B
Now let's answer the question, here we have the inequality:
I-k -2I < 18
Then we can rewrite this as:
-18 < (-k - 2) < 18
Now let's isolate k:
first, we can add 2 in the 3 parts of the inequality:
-18 + 2 < -k - 2 + 2 < 18 + 2
-16 < -k < 20
Now we can multiply all sides by -1, remember that this also changes the direction of the signs, then:
-1*-16 > -1*-k > -1*20
16 > k > -20
Then k can be any value between these two limits.
So the correct options (from the given ones) are:
k = -16
k = -8
k = 0
Answer:
Choice D
Step-by-step explanation:
For this one I would find if the point lands on the line.
<em><u>Choice A:</u></em>
What we have to do is to plug in -4 for x and 4 for y.
The point is not on this line so this cannot be it.
<em><u>Choice B:</u></em>
We pug what we know again.
The point is not on this line so it can't be it.
<em><u>Choice C:</u></em>
We pug in what we know again.
The point is not on this line so it can't be it.
The next one has to be it, but we'll check it just in case.
<em><u>Choice D:</u></em>
We plug in what we know again.
The point is on this line so this is the line.
Answer:
Step-by-step explanation:
E) 5=y
F) x=1.3
G) n=5
H) 5=f
Hope this helps
Answer:
The answer is Option D:
<em>"The distribution of all values of the statistic resulting from all samples of size taken from the same population."</em>
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Step-by-step explanation:
First, is a distribution of all values. It has to include all the possible values of the statistic with its associated probability.
Second, is a distribution of a statistic because we are talking about sample results.
Third, it has to be taken from the same population and have to have the same sample size.
