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Mathematics 20 Online
OpenStudy (anonymous):

Which of these is a valid conclusion? (4 points) All farmers wear straw hats. My father wears a straw hat. Therefore, my father is a farmer. All farmers wear straw hats. My father does not wear a straw hat. Therefore, my father is a farmer. All farmers wear straw hats. My father is not a farmer. Therefore, my father wears a straw hat. All farmers wear straw hats. My father is a farmer. Therefore, my father wears a straw hat.

OpenStudy (crashonce):

none are necessarily correct

OpenStudy (crashonce):

but the last one has more sense than the others

OpenStudy (anonymous):

Not all farmers wear straw hats... but in accordance with this particular problem, the last one makes more sense

OpenStudy (perl):

If its true that "All farmers wear straw hats. " and its true that 'My father is a farmer.' you can conclude that ' , my father wears a straw hat.'

OpenStudy (anonymous):

so is it d?

OpenStudy (anonymous):

@alikat641 @zzr0ck3r @perl

OpenStudy (perl):

the premises don't have to be true in fact. the argument is saying *if* the premises are true (suppose there existed such a world), then does the conclusion necessarily follow?

OpenStudy (perl):

in such a world where the premises true, does the conclusion have to be true as well?

OpenStudy (anonymous):

no

OpenStudy (perl):

in d it does

OpenStudy (anonymous):

oh okay so its d?

OpenStudy (perl):

yes

OpenStudy (anonymous):

can u help with a few more?

OpenStudy (perl):

if its true that all farmers wear hats (in some hypothetical world), and its true that my father is a farmer in this world, then it must also be true that my father wears a hat

OpenStudy (perl):

|dw:1416100995764:dw|

OpenStudy (perl):

thats premise 1

OpenStudy (perl):

premise 2 says your dad is in the inner circle

OpenStudy (perl):

|dw:1416101033688:dw|

OpenStudy (perl):

so your dad must also be in the outer circle (people who wear hats)

OpenStudy (anonymous):

oh yeah that makes sense!!

OpenStudy (anonymous):

i have 2 more #s can u help

OpenStudy (perl):

ok

OpenStudy (anonymous):

Read the statements shown below. If a polygon has four sides, it is a quadrilateral. If the opposite angles of a quadrilateral are congruent, it is a parallelogram. Beth constructed a quadrilateral in the geometry class. Based on the given statements, which is a valid argument? (4 points) It can be concluded that Beth drew a rectangle. It can be concluded that Beth drew a parallelogram. It cannot be concluded that Beth drew a quadrilateral with opposite angles congruent. It cannot be concluded that Beth drew a polygon with four sides.

OpenStudy (anonymous):

@perl

OpenStudy (perl):

we have here 3 premises 1. If a polygon has four sides, it is a quadrilateral. 2. If the opposite angles of a quadrilateral are congruent, it is a parallelogram. 3.Beth constructed a quadrilateral in the geometry class.

OpenStudy (anonymous):

i think that the answer is a

OpenStudy (perl):

all it says is that beth constructed a quadrilateral

OpenStudy (perl):

it doesnt make any mention of the opposite angles

OpenStudy (anonymous):

so what is it then?

OpenStudy (perl):

can you upload the assignment

OpenStudy (perl):

It cannot be concluded that Beth drew a quadrilateral with opposite angles congruent.

OpenStudy (perl):

since all it says is that beth drew a quadrilateral

OpenStudy (anonymous):

what do u mean upload the assignment?

OpenStudy (perl):

take a screenshot of the assignment

OpenStudy (anonymous):

ill just copy and paste it

OpenStudy (anonymous):

Which of these is a valid conclusion? (4 points) All farmers wear straw hats. My father wears a straw hat. Therefore, my father is a farmer. All farmers wear straw hats. My father does not wear a straw hat. Therefore, my father is a farmer. All farmers wear straw hats. My father is not a farmer. Therefore, my father wears a straw hat. All farmers wear straw hats. My father is a farmer. Therefore, my father wears a straw hat.

OpenStudy (perl):

we already did this one

OpenStudy (anonymous):

agh sorry thats my bad

OpenStudy (anonymous):

Read the statements shown below. If a polygon has four sides, it is a quadrilateral. If the opposite angles of a quadrilateral are congruent, it is a parallelogram. Beth constructed a quadrilateral in the geometry class. Based on the given statements, which is a valid argument? (4 points) It can be concluded that Beth drew a rectangle. It can be concluded that Beth drew a parallelogram. It cannot be concluded that Beth drew a quadrilateral with opposite angles congruent. It cannot be concluded that Beth drew a polygon with four sides.

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