Assignment 4

course Mth 151

??X?????????assignment #004

Your work has been received. Please scroll through the document to see any inserted notes (inserted at the appropriate place in the document, in boldface) and a note at the end. The note at the end of the file will confirm that the file has been reviewed; be sure to read that note. If there is no note at the end, notify the instructor through the Submit Work form, and include the date of the posting to your access page.

004. `Query 4

College Algebra

02-01-2007

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01:08:33

2.4.12 n(A') = 25, n(B) = 28, n(A' U B') = 40, n(A ^ B) = 10

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RESPONSE -->

I'm not entirely sure what this question is asking.

confidence assessment: 0

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01:12:37

** In terms of the picture (2 circles, linked, representing the two sets) there are 28 in B and 10 in A ^ B so there are 18 in the region of B outside of A--this is the region B-A.

There are 25 outside of A, and 18 of these are accounted for in this region of B. Everything else outside of A must therefore also be outside of B, so there are 25-18=7 elements in the region outside of both A and B.

A ' U B ' consists of everything that is either outside of A or outside of B, or both. The only region that's not part of A ' U B ' is therefore the intersection A ^ B, since everything in this region is inside both sets.

A' U B' is therefore everything but the region A ^ B which is common to both A and B. This includes the 18 elements in B that aren't in A and the 7 outside both A and B. This leaves 40 - 18 - 7 = 15 in the region of A that doesn't include any of B. This region is the region A - B you are looking for. **

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RESPONSE -->

I'm still a little confused as to what the question asked.

self critique assessment: 2

The question was problem 2.4.12 in your text. The instructions were given in the text at the begining of that particular set of problems.

You should be sharing the solution you obtained to that problem, which along with the other assigned problems should have been done (as I expect was done) before running the Query.

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01:14:20

query 2.4.18 wrote and produced 2, wrote 5, produced 7 &&&& How many did he write but not produce?

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RESPONSE -->

He wrote 5 and produced 2, meaning he wrote 3 that he didn't produce.

confidence assessment: 3

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01:18:00

** You need to count the two he wrote and produced among those he wrote, and also among those he produced.

He only wrote 5, two of which he also produced. So he wrote only 3 without producing them.

In terms of the circles you might have a set A with 5 elements (representing what he wrote), B with 7 elements (representing what he produced) and A ^ B with 2 elements. This leaves 3 elements in the single region A - B and 5 elements in the single region B - A. The 3 elements in B - A would be the answer to the question. **

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RESPONSE -->

Ok.

self critique assessment: 3

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01:31:44

2.4.24 9 fat red r, 18 thn brown r, 2 fat red h, 6 thin red r, 26 fat r, 5 thin red h, 37 fat, 7 thin brown ......!!!!!!!!...................................

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RESPONSE -->

Fat- 37

Red- 22

Male- 50

Fat Female- 11

Thin Brown- 25

Fat Red- 11

confidence assessment: 3

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01:33:59

** Here's my solution. Tell me if there is anything you disagree with (I'm not infallible) or don't understand.

incidental: 18 thin brown roosters, 7 thin brown hens, 6 thin red hens and the 6 thin roosters which aren't fat (out of the 50-26=24 thin roosters 18 are brown so 6 are red) adds up to 37 thin chickens

How many chickens are fat?

37 as given

How many chickens are red?

22: 9 fat red roosters, 6 thin red roosters, 5 thin red hens, 2 fat red hens.

How many chickens are male?

50: 9 fat red roosters are counted among the 26 fat roosters so the remaining 17 fat roosters are brown; then there are 18 thin brown roosters and 6 thin red roosters; the number of roosters therefore adds up to 9 + 18 + 6 + 17 = 50

How many chickens are fat not male?

26 of the 37 fat chickens are male, leaving 11 female

How many chickens are brown not fat?

25: 18 thin brown roosters, 7 thin brown hens adds up to 25 thin brown chickens

How many chickens are red and fat?

11: 9 fat red roosters and 2 fat red hens.**

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RESPONSE -->

Ok.

self critique assessment: 3

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Good, but be sure to see my note on the first problem.