The value of z-score for a score that is three standard deviations above the mean is 3.
In this question,
A z-score measures exactly how many standard deviations a data point is above or below the mean. It allows us to calculate the probability of a score occurring within our normal distribution and enables us to compare two scores that are from different normal distributions.
Let x be the score
let μ be the mean and
let σ be the standard deviations
Now, x = μ + 3σ
The formula of z-score is
⇒ 
⇒ 
⇒ 
Hence we can conclude that the value of z-score for a score that is three standard deviations above the mean is 3.
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Answer:
x - 6
Step-by-step explanation:
(4x2 + x - 5) - (5x2 - 1)
According to the order of operations, parenthesis come first so we will solve what is in the parenthesis first.
Then we do the multiplication because it comes before addition and subtraction.
4x2 = 8
Now we have 8 + x - 5
Combine like terms and 8-5=3 so we have 3 + x
Now for the second one.
5x2=10
10-1=9
Subtracting this from the first expression we have:
3+x-9 =
x - 6
Answer:
m = -1/2
Step-by-step explanation:
m = slope = rise/run
rise +1
run -2
rise/run = 1/-2
=
-1/2
Answer:
20cm
Step-by-step explanation:
Given data
Area= 80cm^2
we know that the expression for the area of a triangle is
A= 1/2B*H
from the given expression 1/2(8h) =80 the base is 8cm
let us substitute to find the height h
1/2(8h) =80
4h=80
h= 80/4
h= 20cm
Hence the heigth h is 20cm
Answer:
x can be any real number
Step-by-step explanation:
5x<=21+2x
Or
3(x+1)>=24
5x-2x<=21
Or
3x+3>=24
3x<=21, i.e x<=7
Or
3x>=21, i.e x>=7
Since we have OR, at least one of them must be true. So x can be any real number.
