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makvit [3.9K]
3 years ago
6

Premises: All good students are good readers. Some math students are good students. Conclusion: Some math students are good read

ers. Use the law of detachment or the law of contraposition to form a valid conclusion from each set of premises in exer cises

Mathematics
1 answer:
just olya [345]3 years ago
3 0

Answer:

Therefore, the conclusion is valid.

The required diagram is shown below:

Step-by-step explanation:

Consider the provided statement.

Premises: All good students are good readers. Some math students are good students.

Conclusion: Some math students are good readers.

It is given that All good students are good readers, that means all good students are the subset of good readers.

Now, it is given that some math students are good students, that means there exist some math student who are good students as well as good reader.

Therefore, the conclusion is valid.

The required diagram is shown below:

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General\ equation\ for\ line\ in\ slope\ intercept\ form:\\\\y=ax+b\\\\To\ find\ a\ and\ b\ substitude\ points\ (-7,5)\ (-4,1)\ into\ equation\\\\ 
\left \{ {{5=-7a+b}\ \ \ \ \atop {1=-4a+b\ |*-1}} \right.\\\\ \left \{ {{5=-7a+b}\ \ \ \ \atop {-1=4a-b}} \right.\\\\
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4=-3a\ \ |:(-3)\\\\
a=-\frac{4}{3}\\\\
b=5+7a=5+7*(-\frac{4}{3})=5-\frac{28}{3}=-4\frac{1}{3}\\\
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Checking\ solution:\\
y-5=-\frac{4}{3}(x+7)
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Molly runs each morning once around a circular path in her neighborhood. if the diameter of the path is 1.4 miles, how far does
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To work out the distance of the path, you need to find out the circumference.
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So you simply do:
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Answer: 4.398 miles (to 3dp)
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3 years ago
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