Answer:
Mean of a grouped data is
Sum of F x/ sum of frequency F
Sum of F = 5 + 15 + 13 + 10 + 7 = 50
to find x find the average of the two classes
That's
0 + 10/2 = 10/2 = 5
10+20/2 = 15
20 + 30 / 2 = 25
30+40 /2 = 35
40+ 50 / 2 = 45
Therefore sum of Fx = 5(5) + 15(15) + 13(25) + 10(35) + 7(45)
= 1240
Therefore
Mean = 1240/50
= 24.8cm
I hope this helps you
Answer:
368.72 ft^2
Step-by-step explanation:
25x15-2π
=375-2π
~368.72
<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>
