Computers and Technology, 28.02.2020 22:47 autumnskye1

Counting calculus students. About A university offers 3 calculus classes: Math 2A, 2B and 2C. In both parts, you are given data about a group of students who have all taken at least one of the three classes. (a) Group A contains 157 students. Of these, 51 students in Group A have taken Math 2A,80 have taken Math 2B, and 70 have takern Math 2C. 15 have taken both Math 2A and 2B, 20 have taken both Math 2A and 2C, and 13 have taken both Math 2B and 2C. How many students in Group A have taken all three classes? Solution (b) You are given the following data about Group B. 28 students in Group B have taken Math 2A, 28 have taken Math 2B, and 25 have taken Math 2C. 11 have taken both Math 2A and 2B, 9 have taken both Math 2A and 2C, and 10 have taken both Math 2B and 2C 3 have taken all three classes. How many students are in Group B? Feedback?

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Answer from: blakemccain1928

Part (a) n(A∩B∩C) = 4

Part (b) n(A∪B∪C) = 54

Explanation:

n(A) = no. of students who took Math 2A

n(B) = no. of students who took Math 2B

n(C) = no. of students who took Math 2C

n(A∩B) = no. of students who took both Math 2A and 2B

n(A∩C) = no. of students who took both Math 2A and 2C

n(B∩C) = no. of students who took both Math 2B and 2C

n(A∩B∩C) = no. of students who took all three Math 2A, 2B and 2C

n(A∪B∪C) = no. of total students in a group

∩ represents Intersection and ∪ represents Union

Part (a)

n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(A∩C) - n(B∩C) + n(A∩B∩C)

Where n(A∩B∩C) represents the number of students who took all three classes and n(A∪B∪C) represents the total number of students in group A

157 = 51 + 80 + 70 - 15 - 20 - 13 + n(A∩B∩C)

Re-arranging the equation to solve for n(A∩B∩C) since we want to find out those students who took all three classes

n(A∩B∩C) = 157 - 51 - 80 - 70 + 15 + 20 + 13

n(A∩B∩C) = 4

So there are 4 students in group A who took all three classes

Part (b)

n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(A∩C) - n(B∩C) + n(A∩B∩C)

This time we are given n(A∩B∩C) students who took all three classes and want to find n(A∪B∪C) that is total number of students

n(A∪B∪C) = 28 + 28 + 25 - 11 - 9 - 10 + 3

n(A∪B∪C) = 54

So there are total 54 students in group B

Answer from: Quest

browsing like internet search? don't look at anything stupid. or set up restrictions on ur device's search engine. and if something suspicious comes up don't be dumb and click on it. i hope that's what ur question meant.

Answer from: Quest

My favorite is "be concise."have you ever received an email and had to read a page full of information? by the time you finished reading it, you had to re-read it? i have even hit "reply" so that i could break it down into separate paragraphs and send it back to myself.what is concise? get to the point, fast. when opening an email like this, some will close it or print it to read later.i learned to use the subject line to prepare the reader for content. such as, "need on (blank), " "info only re: (blank)," "request input on (blank)," "read before (blank) meeting." these are just some.if you are asking for something, make that your first sentence. follow this by who, what, when, where, and how. use these, as necessary. example; (1) who (who needs it and or who does it), (2) what (specific description of what is needed), (3) when (specific, i need this by 8: 00 am monday or i need this by 10: 00 am today), (4) where (does it have to be printed and taken to someone, maybe the place of the meeting), (5) how (i need it scanned or faxed back to me at this email address, provide me with a hard copy).do not send yet. re-read it. did some spell check change a word? maybe let someone else read it for understanding. you want to avoid multiple emails asking for clarification. if important, put a read receipt on it. you will know it was opened, not necessarily read.end with a you.

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Counting calculus students. About A university offers 3 calculus classes: Math 2A, 2B and 2C. In bot...