Answer:
give me 1 second to answer with the correct answer
Answer:
When we have 3 numbers, like:
a, b and c.
Such that:
a < b < c.
These numbers are a Pythagorean triplet if the sum of the squares of the two smaller numbers, is equal to the square of the larger number:
a^2 + b^2 = c^2
This is equivalent to the Pythagorean Theorem, where the sum of the squares of the cathetus is equal to the hypotenuse squared.
Now that we know this, we can check if the given sets are Pythagorean triples.
1) 3, 4, 5
Here we must have that:
3^2 + 4^2 = 5^2
solving the left side we get:
3^2 + 4^2 = 9 + 16 = 25
and the right side:
5^2 = 25
Then we have the same in both sides, this means that these are Pythagorean triples.
2) 8, 15, 17
We must have that:
8^2 + 15^2 = 17^2
Solving the left side we have:
8^2 + 15^2 = 64 + 225 = 289
And in the right side we have:
17^2 = 17*17 = 289
So again, we have the same result in both sides, which means that these numbers are Pythagorean triples
Answer:
Slope = 4.000/2.000 = 2.000
Slope = 2.000/2.000 = 1.000
Step-by-step explanation:
the first answer is for the first problem and the second answer is for the second problem. Hoped it helped i tried my best.
Answer:
The parameters of this exponential distribution is 
= 
.
Step-by-step explanation:
We are given that the random variable X is known to be exponentially distributed and let X be the time it takes for a person to choose a birthday gift, where X has an average value of 27 minutes.
<u><em>So, X = time it takes for a person to choose a birthday gift</em></u>
The probability distribution function of exponential distribution is given by;
where, = parameter of distribution.
Now, the mean of exponential distribution is = 
which is given to us as average value of 27 minutes that means 
.
So, X ~ Exp( ) .
Therefore, the parameter of this exponential distribution is .
