Answer:
See below
Step-by-step explanation:
Given R (7,-1), A (3,-6), B(-3,-6), E (-5,4)
Points plotted and they form a quadrilateral
See attached
Answer:
(m) increased, (b) unchanged. g(x)
(m) decreased, (b) unchanged. m(x)
(m) unchanged, (b) increased. h(x)
(m) unchanged, (b) decreased. n(x)
f(x): m = -1/2 b = 2
g(x): m = 1/3 b = -3
h(x): m = 2 b = 0
Answer:
Decrease by 20%.
Step-by-step explanation:
We have to find the percent of increase or decrease from n to
.
Now,
So there is a decrease fro n to
.
Now, the percentage of decrease will be given by
=
=
= 20% (Answer)
Answer:
a. Class width=4
b.
Class midpoints
46.5
50.5
54.5
58.5
62.5
66.5
70.5
c.
Class boundaries
44.5-48.5
48.5-52.5
52.5-56.5
57.5-60.5
60.5-64.5
64.5-68.5
68.5-72.5
Step-by-step explanation:
There are total 7 classes in the given frequency distribution. By arranging the frequency distribution into the refine form we get,
Class
Interval frequency
45-48 1
49-52 3
53-56 5
57-60 11
61-64 7
65-68 7
69-72 1
a)
Class width is calculated by taking difference of consecutive two upper class limits or two lower class limits.
Class width=49-45=4
b)
The midpoints of each class is calculated by taking average of upper class limit and lower class limit for each class.

Class
Interval Midpoints
45-48 
49-52 
53-56 
57-60 
61-64 
65-68 
69-72 
c)
Class boundaries are calculated by subtracting 0.5 from the lower class limit and adding 0.5 to the upper class interval.
Class
Interval Class boundary
45-48 44.5-48.5
49-52 48.5-52.5
53-56 52.5-56.5
57-60 56.5-60.5
61-64 60.5-64.5
65-68 64.5-68.5
69-72 68.5-72.5