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You survey the 72 students in a hypothetical Math 130 class and discover that 1

ID: 3020685 • Letter: Y

Question

You survey the 72 students in a hypothetical Math 130 class and discover that 1 people enjoy hot chocolate, tea, and coffee, 17 enjoy tea and coffee, 4 enjoy hot chocolate and coffee, 3 enjoy hot chocolate and tea, 12 enjoy hot chocolate, 42 enjoy tea, and 28 enjoy coffee. Make a Venn diagram for this information and answer the questions below:

How many students enjoy at least one hot beverage?

How many students enjoy exactly one of the three hot beverages mentioned?

How many students enjoy at most two of the three beverages?

If you put out coffee and hot chocolate for a class meeting, how many people would have at least one beverage they enjoy?

worked 5 times missed them all... please explain so I can understand

Explanation / Answer

H - Hot chocolate

T - Tea

C - Coffee

Given that HTC = 1, TC = 17, HC=4, HT = 3, H =12, T = 42, C=28

The venn diag is given below

a) Atleast = 59

b) exactly one of the three hot beverages mentioned = 6+23+8 = 37

c) at most two of the three beverages = Total - no drinks - all 3

= 72-13- 1 = 58

d) If you put out coffee and hot chocolate for a class meeting

= people who enjoy atleast = 36

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