Answer:
His actual score is 15
Step-by-step explanation:
Here, we are interested in calculating Wayne’s actual score on the ACT
when we say the scores have being standardized, it means the score was reported in terms of the z-score and not the initial raw scores.
Now, mathematically, for the scores to have a negative z-score, it means it is actually below the mean.
The formula for the z-score or standard score is given below;
z-score = (x - mean)/SD
where in this case, x = ? which is the score we are looking for , z-score = -0.5 , mean score = 18 and standard deviation of the scores = 6
So, substituting these values into the z-score equation, we have;
-0.5 = (x-18)/6
x-18 = 6(-0.5)
x -18 = -3
x = -3 + 18
x = 15
Answer:
a
Step-by-step explanation:
By identifying the radius and the center, we concluded that the equation is something like:
<h3>
</h3><h3>
How to write the equation of the circle?</h3>
For a circle centered on the point (a, b) with a radius R, the equation is:
So first we need to identify the center, we can see that it is: (2, 1.5)
And the radius is the distance between the center and the edge.
R = 1.8 (measured with a ruler, respecting the notation of the graph).
Then the equation of the circle is something like:
If you want to learn more about circles:
brainly.com/question/1559324
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