Answer:
Step-by-step explanation:
In this problem you’d need to multiply 4 on the bottom equation to make -x into -4x and from there the 4x on the top equation and the -4x in the bottom equation cancel out. Don’t forget, if you are multiplying 4 on the bottom equation you have to distribute it to the other terms in that equation So the new bottom equation would look like this 4(-x - 3y =3) then distribute the 4 so -4x - 12y = 12. Once you cancel the x you can add the y and the answers from both equations. And find y from there.
9514 1404 393
Answer:
yes
Step-by-step explanation:
You can check to see if the numbers satisfy the Pythagorean theorem.
9² +12² ?= 15²
81 + 144 = 225 . . . . yes these segments form a right triangle
_____
You know that segments of lengths 3, 4, 5 form a right triangle. This is the first "Pythagorean triple" that most folks run across. The segments given here are all 3 times those numbers, so will also form a right triangle.
Answer:
a)
And we can find the individual probabilities like this:
And replacing we got:
b)
Step-by-step explanation:
Let X the random variable that represent the number of hurricanes hitting the coast of Florida annualle. We know that
The probability mass function for the random variable is given by:
And f(x)=0 for other case.
For this distribution the expected value is the same parameter
Part a
For this case we want this probability:
And for this case we can use the complement rule like this:
And we can find the individual probabilities like this:
And replacing we got:
Part b
Using the probability mass function we have: