6|n| - 2 = 10 . What are the solutions of the equation?
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Answer:
The complete question is as shown in the attached figure 1
The Venn diagram is the attached figure 2
Let: R⇒ribs , H⇒hamburgers and C⇒corn
People would eat all three = 53
People would eat only R and H = 56 - 53 = 3
People would eat only C and H = 54 - 53 = 1
People would eat only R and C = 55 - 53 = 2
People would eat only H = 60 - (53+3+1) = 60 - 57 = 3
People would eat only R = 59 - (53+3+2) = 59 - 58 = 1
People would eat only C = 56 - (53+1+2) = 0
See Vinn diagram.
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a. How many people did not want any of these foods?
people did not want any of these foods = 64 - (53+3+1+2+3+1) = 1
b. How many people would eat ribs but not corn?
people would eat ribs but not corn = 1+3 = 4
c. How many people would eat something as long as it was not a hamburger?
people would eat something as long as it was not a hamburger= 1+2 = 3
d. How many people would eat only corn?
people would eat only corn = 0
e. How many people would eat exactly two foods?
people would eat exactly two foods = 1 + 2 + 1
Using the Fundamental Counting Theorem, the sample size of these outcomes is of 12.
<h3>What is the Fundamental Counting Theorem?</h3>It is a theorem that states that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
Considering the number of options for Entree, Side and Drink, the parameters are:
n1 = 3, n2 = 2, n3 = 2.
Hence the sample size of outcomes is:
N = 3 x 2 x 2 = 12.
More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866
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