Answer:
(a) 169
(b) 341
(c) 125
(d) 87
Step-by-step explanation:
Consider the Venn diagram below.
The total number of shoppers surveyed is, <em>N</em> = 428.
Number of shoppers who made a purchase, <em>n</em> (P) = 216
Number of shoppers who were satisfied with the service they received,
<em>n</em> (S) = 294
Number of shoppers who made a purchase but were not satisfied with the service,
= 47
(a)
The number of shoppers who made a purchase and were satisfied with the service = <em>n</em> (S ∩ P)

(b)
The numbers of shoppers who made a purchase or were satisfied with the service = <em>n</em> (P ∪ S)

(c)
The numbers of shoppers who were satisfied with the service but did not make a purchase = 

(d)
The number of shoppers who were not satisfied and did not make a purchase = 

If there are 27 posts, then there are (n - 1) total spaces between the posts . . . 27 - 1 = 26 total spaces (since there has to be a post at each end of the line)
Here's an example of 7 posts equally spaced . . . so you can see there are one less spaces between posts than there are posts (i.e. 6 total spaces between 7 posts) . . .
[] . . . [] . . . [] . . . [] . . . [] . . . [] . . . []
27 posts = 27*(10cm) = 270 cm = 2.7m
26 spaces = 26*(30m) = 780 m
<u><em>Length of Fence = L = 780m + 2.7m = 782.7m</em></u>
M<NQN = 180° - 2[180° - (60° + 80°)]
m<NQM = 100°
~100°
The line have a slope of 0.
The line parallel to this will also have a 0 slope.