<span>19.47 is 66% of 29.5.
hope this helps! :)</span>
Answer:
Rachel
Step-by-step explanation:
We need to measure how far (towards the left) are the students from the mean in<em> “standard deviations units”</em>.
That is to say, if t is the time the student ran the mile and s is the standard deviation of the class, we must find an x such that
mean - x*s = t
For Rachel we have
11 - x*3 = 8, so x = 1.
Rachel is <em>1 standard deviation far (to the left) from the mean</em> of her class
For Kenji we have
9 - x*2 = 8.5, so x = 0.25
Kenji is <em>0.25 standard deviations far (to the left) from the mean</em> of his class
For Nedda we have
7 - x*4 = 8, so x = 0.25
Nedda is also 0.25 standard deviations far (to the left) from the mean of his class.
As Rachel is the farthest from the mean of her class in term of standard deviations, Rachel is the fastest runner with respect to her class.
1. Simplify brackets (3 - 10 + 6 + 5 - 7)
2. Simplify.
Answer: -3.
<span> Plot the points and draw the triangle. Now you have to draw a line that passes through a point, perpendicular to the triangle side that it's opposite from. Then do that again with a second point. The intersection of these two points will give you the Orthocenter. (You don't need to do it for the third point; it will pass through it anyway, but you only need two intersecting lines to define a point!) Since AB is a horizontal line, it will probably be easiest to start with the line perpendicular to AB that passes through C. You'll find that this is just the vertical line x=1. Now just pick another point and do it again. (Hint: if you know two points, you can find their slope, and you know that lines perpendicular to each other have negative reciprocal slopes.)</span>
