Answer:
The vertex is the point (6,-31)
Step-by-step explanation:
we have

This is a vertical parabola open upward
The vertex represent a minimum
Convert to vertex form
Complete the square


Rewrite as perfect squares
-----> equation in vertex form
therefore
The vertex is the point (6,-31)
If you would like to solve the equation x + 1/6 = 6, you can do this using the following steps:
x + 1/6 = 6 /-1/6
x + 1/6 - 1/6 = 6 - 1/6
x = 6 - 1/6
x = 36/6 - 1/6
x = 35/6
x = 5 5/6
The correct result would be C. x = 5 5/6.
The height of the wall from the question is 13.27ft
<h3 /><h3>Pythagoras theorem </h3>
The theorem states that the square of the longest side is equal to the sum of square of other two sides.
From the given question
Hypotenuse (ladder length) = 15ft
Adjacent = 7feet
Required
Height of the wall H
According to the theorem
15² = 7² + H²
H² = 225 - 49
H² = 176
H = 13.27feet
Hence the height of the wall from the question is 13.27ft
Learn more on pythagoras theorem here; brainly.com/question/343682
#SPJ1
Answer:
A, C are true . B is not true.
Step-by-step explanation:
Mean of a discrete random variable can be interpreted as the average outcome if the experiment is repeated many times. Expected value or average of the distribution is analogous to mean of the distribution.
The mean can be found using summation from nothing to nothing x times Upper P (x) , i.e ∑x•P(x).
Example : If two outcomes 100 & 50 occur with probabilities 0.5 each. Expected value (Average) (Mean) : ∑x•P(x) = (0.5)(100) + (0.5)(50) = 50 + 25 = 75
The mean may not be a possible value of the random variable.
Example : Mean of possible no.s on a die = ( 1 + 2 + 3 + 4 + 5 + 6 ) / 6 = 21/6 = 3.5, which is not a possible value of the random variable 'no. on a die'