Answer:
1/9
Step-by-step explanation:
You can put in any 2 numbers that would make a-b=2 true, so if you use a=4 and b=2, then 3^2/3^4=1/9. This is still true with any 2 numbers that make a-b=2 true. Hope this helps!
Inter portal range of 4th period box plot is higher than the 2nd period of box plot. The 4th period class should get the reward.
<h3>
What is box plot?</h3>
Box plot is the way of representation of data which gives the graphical image of the data set to understand better.
The minimum and the maximum values in the box plot is plotted at the end points.
Given information-
Box plot labeled 2nd period with min at 77, Q1 at 78, median at 89, Q3 at 92, max at 100.
Box plot labeled 4th period with min at 72, Q1 at 82.5, median at 89, Q3 at 96, max at 97. 5.
From the box plot we can see the points as,
- The maximum score of the 2nd period class is 77 and the 4th period class is 72, but this does not show the better performance of the class.
- The maximum score of the 2nd period class is 100 and the 4th period class is 97.5, but this does not show the better performance of the class.
- Median for both the class is same which is 89.
- The inter portal range of the box plot of 4th period is higher than the 2nd period box plot. Thus 4th period class performed better.
Hence, the 4th period class should get the reward. Though the medians are the same, the first and third quadrilles are higher, so the students did better on average than in the 2nd period class.
Learn more about the box plot here;
brainly.com/question/14277132
Answer:
11: x=90 and y=10
12: x=59 and y=48
14?: x = 28, y = 20 and z = 56
15: x = 4 and y = 53
Step-by-step explanation:
11: Since two sides are parallel, you can draw a transversal (a line that crosses through both) that makes sure all angles it makes are 90 degrees. (let me know if that doesn't make sense. Now you have two trapezoids. One has angle measures 90+90+90+x=360 and the other has 90+90+77+y = 360. Doing some quick algebra gets you x=90 and y=10
12: We do the same thing, transversal throught he parallel lines to get four 90 degree angles. Now 360 = 90 + 90 + 2x + 62 makes x = 59 and 360 = 90 + 90 +3 y + 42 makes y = 48
(14? the one to the left of 15): Could do the same thing to solve for x, then we need to do something different for y and z. so first 90 + 90 + 68 + 4x = 360 so x=28. Now, since this is an isosceles trapezoid it means the two top angles are equal and the two bottom angles are equal. so 68 =3y+8 so y = 20 and 2z = 4x = 4(28) makes z = 56
for 15 we'll start with y. We will call the two equal angles a, because we need to use them. Since the top and bottom parts are parallel, 106 + a = 180 and 2y + a = 180. Use a system of equations to find a = 74 and y = 53 (You just needed y of course). since 2y=106, we know that 4x=6x-8 so then we can solve for x = 4
