Is 5, 12, 14 a pythagorean triple ? Show why or why not?
2 answers:
Answer:
No
Step-by-step explanation:
Let's test these values using the Pythagorean Theorem.
a^2+b^2=c^2
where a and b are the legs and c is the hypotenuse.
a and b are the legs, or the shorter sides. 5 and 12 are the shorter sides, so they are a and b.
c is the hypotenuse, or the longest side. 14 is the longest side, so it is c.
5^2+12^2=14^2
Evaluate all the exponents
25+144=196
Add 25 and 144
169=196
169196
169 is not equal to 196, so 5, 12 and 14 cannot be a Pythagorean Triple
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Given:
The number of male professors = 15.
The number of female professors = 9.
The number of male teaching assistants = 6.
The number of female teaching assistants = 12.
A person is selected randomly from the group.
Required:
We need to find the probability that the selected person is a professor or a male.
Explanation:
The total number of people in the group = 15+9+6+12 = 42
n(S) =The total number of people in the group
Let A be the event that the selected person is a professor or a male.
The number of people who are professors or male = 15+9+6 = 30
n(A)= The number of people who are professors or male.
Let P(A) be the probability that the selected person is a professor or a male.
Final answer:
The probability that the selected person is a professor or a male is 5/7.