Your vertex would be (3,4)
Answer:
If it's supposed to have no solution, I think you can just use an extreme number, like -30 or something.
150 cc per 4 hours divide by 4 equals 37.5 cc per hour
Answer:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the lifetime for a TV of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability like this:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
We can assign variables to each side:
x = first side
y = second side
z = third side
We will assume the "one side" that is greater than the second side is the first side. Since it is "2 times the second side" we can write this as:
x = 2y
Since the third side is 5ft longer than the second side, we can write this as:
y + 5 = z
Perimeter of the triangle (49ft):
x + y + z = 49
We can substitute everything we know.
(2y) + y + (y + 5) = 49
4y + 5 = 49
4y = 44
y = 11
Now we can solve for the other sides with what we have for y.
x = 2(11)
x = 22
11 + 5 = z
16 = z
Add to check.
22 + 11 + 16
33 + 16
49
Therefore, the side lengths are [ 22, 11, and 16 ]
Best of Luck!