Answer:
Louis has faster pitch when compared to each of their teams.
Step-by-step explanation:
We have two pitchers which we need to compare to each of their teams.
To calculate this, we will approximate the distributions to a normal distribution, and calculate the z-score, to know what proportion of players of their team fall below their score.
For Jerry, he has a speed of 86 and his team has a mean speed of 93 and standard deviation of 3.
We can calculate the z-score for Jerry speed as:
The proportion of players that are below Jerry speed is approximated by the standard normal distribution:
For Louis, his speed is 84 and his team has a mean speed of 89 and standard deviation of 3.5.
We can calculate the z-score for Jerry speed as:
The proportion of players that are below Louis speed is approximated by the standard normal distribution:
As the proportion of players of Louis team that are below Louis speed is much bigger than the proportion of players of Jerry's team that are below Jerry speed, we can say that Louis has faster pitch when compared to each of their teams.
Its adding 9 every time.
-3, 6, 15, 24, 33, 42, 51, 60
To write the equation of a line, we use the equation: y = mx +b.
m is the slope of the line, which can be calculated using the equation:
m = (y2 - y1)/(x2 - x1)
We can choose any two points on the line to put into this equation. The red dots are at (0,0) and (-6,-2), so we will use those, but you would get the same answer by using any other pair of coordinates on the blue line.
m = (-2 - 0)/(-6 - 0) = 2/6 = 1/3
b is the y-intercept of the line. The y-intercept is the y-coordinate when the line crosses the y-axis. It crosses the y-axis at (0,0), so the y-intercept is 0.
Now, we plug our values back into the full equation to get the equation of the line.
y = mx + b
y = (1/3)x + 0
So the final answer is y = (1/3)x or y = x/3, depending on how you want to write it.
A bisector is a line that divides either a line or an angle into <em>two</em><em> proportionate</em> parts or angles. Thus, Anton's <em>bisector</em> would divide the segment into two <u>equal parts</u>, while Maxim's <em>bisector</em> would divide the angle into two <u>equal angles</u>.
The <u>similarities</u> between their construction are:
- <em>Intersecting</em> arcs through which the bisector would pass are required.
- The arcs are dawn using <em>the same</em> radius of any measure.
- The <em>edges</em> of the arc of the given angle, and the ends of the segment are used as <em>centers</em>.
The <u>differences</u> between their construction are:
- Anton has to draw two intersecting arcs <u>above</u> and <u>below</u> the segment. While Maxim would draw two intersecting arcs <u>within</u> the lines forming the angles.
- Anton's bisector would be <em>perpendicular</em> to the segment, while Maxim's bisector would be at <em>an angle</em> which is half of the initial angle.
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Answer:
3
Step-by-step explanation:
the equation would be 5 = 3(3) - 4
which is 9 - 4 = 5
