Answer: a) 83, b) 28, c) 14, d) 28.
Step-by-step explanation:
Since we have given that
n(B) = 69
n(Br)=90
n(C)=59
n(B∩Br)=28
n(B∩C)=20
n(Br∩C)=24
n(B∩Br∩C)=10
a) How many of the 269 college students do not like any of these three vegetables?
n(B∪Br∪C)=n(B)+n(Br)+n(C)-n(B∩Br)-n(B∩C)-n(Br∩C)+n(B∩Br∩C)
n(B∪Br∪C)=
So, n(B∪Br∪C)'=269-n(B∪Br∪C)=269-156=83
b) How many like broccoli only?
n(only Br)=n(Br) -(n(B∩Br)+n(Br∩C)+n(B∩Br∩C))
n(only Br)=
c) How many like broccoli AND cauliflower but not Brussels sprouts?
n(Br∩C-B)=n(Br∩C)-n(B∩Br∩C)
n(Br∩C-B)=
d) How many like neither Brussels sprouts nor cauliflower?
n(B'∪C')=n(only Br)= 28
Hence, a) 83, b) 28, c) 14, d) 28.
Answer:
Step-by-step explanation:
Area of a triangle = 1/2 * Base * height | Plug in values
82.5 = 1/2 * 15 * height | Multiple both sides by 2
165 inches = 15 * height | Divide both sides by 15
Height = 165/15 = 11 inches
Answer:
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Answer:
<h2>
11</h2>
Step-by-step explanation:
n, n + 1, n + 2 - three consecutive integers
The equation:
n(n + 1) = 8(n + 2) + 2 <em>ust the distributive property</em>
n² + n = 8n + 16 + 2
n² + n = 8n + 18 <em>subtract 8n from both sides</em>
n² - 7n = 18 <em>subtract 18 from both sides</em>
n² - 7n - 18 = 0
n² - 9n + 2n - 18 = 0
n(n - 9) + 2(n - 9) = 0
(n - 9)(n + 2) = 0 ⇔ n - 9 = 0 or n + 2 =0
n - 9 = 0 <em>add 9 to both sides</em>
n = 9
n + 2 = 0 <em>subtract 2 from both sides</em>
n = -2 < 0
n + 2 = 9 + 2 = 11
