A value of 24 is 2.5 standard deviations away from the mean
<h3>'How to determine the number of standard deviations away from the mean?</h3>
The given parameters about the distribution are:
Mean = 18
Standard deviation = 4
Value = 24
Let the number of standard deviations away from the mean be x.
The value of x is calculated using
Mean + Standard deviation * x = Value
Substitute the known values in the above equation
18 + 4 * x = 24
Subtract 18 from both sides of the equation
4 * x = 6
Divide both sides of the equation by 4
x = 1.5
Hence, a value of 24 is 2.5 standard deviations away from the mean
So, the complete parameters about the distribution are:
Mean = 18
Standard deviation = 4
Value = 24
24 is 2.5 standard deviations away from the mean
Read more about mean and standard deviation at:
brainly.com/question/14650840
#SPJ1
May makes $23.25, Inez makes $2325, and Carolyn makes $232.50
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
The answer is in the link below I couldn't write it on Brainly bc my computer was being wack, but I hope I can help, I didn't only give the answer but there is a step by step so that should help you out a bit. Good Luck!!!!!!
