Arranging units from smallest to largest:
pm, nm, um, mm, cm, dm, m, km.
Individual measurements in terms of 1 meter.
1 x 10^12 pm = 1 m
1 x 10^9 nm = 1m
1 x 10^6 um = 1m
1 x 10^3 mm = 1m
1 x 10^2 cm = 1m
1 x 10^1 dm = 1m
1m = 1m
1 x 10^-3 km <span> = 1m</span>
<span>It looks like you're supposed to pick a combination of two answers:
an absolute-value inequality, and
a sentence describing the meaning of that inequality.
We've got two choices for each, and therefore four possible combinations of choices.
First, let's tackle the sentence description. We're told that
"it [the cost] could differ [from the average of $32] as much as $8."
That sets a maximum value for the difference; it's UP TO $8.
If the cost is less than average, it could be as little as
$32 - $8 = $24
and if the cost is more than average, it could be as much as
$32 + $8 = $40.
So the medication costs range from $24 to $40, and we want an answer that states that.
Now for the inequalities:
|x - 32| describes the SIZE of the difference. Using the absolute-value function means we don't distinguish between
x - 32
and
32 - x
as far as our interests are concerned; we eliminate the sign from the subtraction and just look at the size of the difference.
But in the case we're looking at, we've got a MAXIMUM value for the difference; it can't be more than 8. The inequality
|x - 32| ≥ 8
says the difference is 8 or MORE, so we don't want that. Instead, we want
|x - 32| ≤ 8
which says the difference is anywhere from 0 to 8.
Combining these conclusions, we see we're looking for this answer:
|x - 32| ≤ 8; The medication costs range from $24 to $40
which is the third one listed.</span>
Which of y’all did not receive a gift for the child of a dog or
The range is the variance between the smallest and largest value in the data set. The range is 10; calculated by taking 20.98 and subtracting it from 30.98.
