<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>
Answer:
The horizontal asymptote is y=0
Answer
The median
Explanation
50th percentile is one of the central tendency. It is used in statisticts to find the median of a set of data.
Used in data analysis such as examinations, population. products and many others.
Answer:
31136
Step-by-step explanation:
To find the how much an number increased by a percent. Divide the percent by 100. 23/100=0.23.
Then multiply 0.23 by the original number which is 25,314. Which gives us about 5822.
Then since it INCREASED, we are going to add that number it increased to the original. 25314+5822= 31136.
Answer:
A. 5
Step-by-step explanation:
It says that the sample is normally distributed, which means it follows the bell curve in terms of spreading. That means that 68% of the numbers are within two standard deviations, centered on the mean, one standard deviation below, one up.
That's confirmed by the fact that 1,360 numbers (exactly 68% of 2,000) are between 40 and 50. Since the mean is 45, that gives a spread of ± 1 standard deviation for 68% of the numbers.
One standard deviation goes from 40 to 45, another from 45 to 50.
So, the standard deviation of this sample is 5.
