therefore sean this is it...

[eyemjess]

Comments

[busbeytheelder]

with your correction the venn diagram is correct.

however, you didn't answer the final question

How many workers are female or union members or single?

This is asking: "how many workers are either female, or a union memember, or single, or some combination thereof"?

[eyemjess]

I thought I did with the part in yellow I guess I'm just not quite understanding what they are asking...I answered how many are ONLY female, how many are ONLY union, and how many are ONLY single what do they want?

[busbeytheelder]

they want to know how many are any of the three.

[eyemjess]

Do they just expect me to add these three numbers because that's just annoying

[busbeytheelder]

know, adding just those three numbers would miss the workers who are a combination of the three.

Maybe?

[eyemjess]

Ah ha so is it:

Therefore we can now plug the numbers into the equation to determine: How many workers are female, union, or single?
n(A⋃B⋃C)=n(A)+n(B)+n(C)-n(A∩B)-n(A∩C)-n(B∩C)+n(A∩B∩C)
532+615+400-295-187-190+120 = 995
∴ we can say 995 workers are female, union, or single.

Re: Maybe?

[busbeytheelder]

your logic is correct, but your numbers are wrong.

n(A) is 482 not 532.

n(C) is 345 not 400.

Re: Maybe?

[busbeytheelder]

Also, there are only 900 workers total. so 995 can't be the answer.

[eyemjess]

voila
n(A⋃B⋃C)=n(A)+n(B)+n(C)-n(A∩B)-n(A∩C)-n(B∩C)+n(A∩B∩C)
482+615+345-295-187-180+120 = 900
∴ we can say all 900 workers are female, union, or single.

Right...please let it be so