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
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Answer:
Step-by-step explanation:
Let's start by taking a look at the blue line. The slope of any line that passes through two points is equal to the change in y-values over the change in x-values. We can see that the line passes through points (0, 1) and (1, 0). Assign these points to 
and 
(doesn't matter which you assign) and use the slope formula:
Let:
The slope is equal to:
Therefore, the slope of this line is -1. In slope-intercept form 
, 
represents slope, so one of the lines must have a term with 
in it, which eliminates answer choices A and D.
For the second line, do the same thing. The red line clearly passes through (0, -3) and (3, -2). Therefore, let:
Using the slope formula:
Thus, the slope of the line is 1/3 and the other line must have a term with 
in it, eliminating answer choice C and leaving the answer 
*You can find the exact equation of each line by using the slope formula as shown and plugging in any point the line passes through into
Answer:
(-2,-6)
-2
Step-by-step explanation:
To get the vertex take the number that's in the parathenses with the x and flip it's sign (in this case to a negative) which means we have
-2
this is the x coordinate of the vertex.
Next take the number that's being subtracted (or added) on the outside and leave that as is (-6)
This is the y coordinate
which means we have (-2,-6)
the axis of symmetry is just the x coordinate of the graph
which is -2
Answer:
a=2
b=3
c=5
d=-3
Step-by-step explanation:
a + b = c
a-c=d
a+b=5
a+b =5
a = 2
2+b =5
Subtract 2 from each side
2+b-2 =5-2
b=3
a + b = c
2+3 = c
5=c
a-c=d
2-5 =d
-3 =d
1.x^2 +6x - 4 = 6x
X^2 + 6x -4 - 6x = 0
X^2 - 4 = 0
By difference of two squares :
X^2 - 4 = 0 can be written as (x-2) (x+2) = 0
(X-2)=0 therefore x= 2
(X+2)=0 therefore x= -2
2. X^2 - 8x = -6x
X^2 -8x + 6x = 0
X^2 - 2x = 0
X(X-2) = 0
X= 0, X= 2
