To answer this question, first calculate the z-score:
test score - mean score 65 - 70
z = ----------------------------------- = ------------------- = -5/10 = -0.5
std. dev. 10
We need to determine the area under the normal curve to the left of z = -0.5.
Refer to a table of z-scores, and look for z=-0.5. What area appears in connection with this z-score? It's less than 0.5000.
Using my TI-83 Plus calculator (specifically, its "normalcdf( " function, I found that the area under the std. normal curve to the left of z = -0.5 is 0.309.
Thus, the percentile is 30.9, or roughly 31 (31st percentile).
Roughly 31% of students earned a grade lower than 65, and roughly 69% earned a higher grade.
What are the coordinates of the points of tangency? Yes, it's *that* trivial.
<span>Apply the Pythagorean theorem to get the distance of r √2.</span>
Answer:
y = -2x + -3
Step-by-step explanation:
The line has a slope of -2 because when counting from point to point, its 2 down and one over; 2/1 or 2 (negative because the line is going down)
The intercept in -3 because thats the first place the line touches the y axis.
<span> 1/2(8y-10z)-(3y+z)
= 4y - 5z - 3y - z
= y - 6z
hope it helps</span>
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➷ When you multiply, you add the powers
Therefore, the answer is C.
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