Answer:
´The variance is 10000
Step-by-step explanation:
The variance is defined as the square of standard deviation, consequently it is as follows:
σ^2=
σ^2=10000
Answer:
Step-by-step explanation:
5 - (-1) = 5 + 1 = 6
9514 1404 393
Answer:
3/45
Step-by-step explanation:
To find the numerator, multiply the desired denominator by the fraction.
x/45 = 1/15
x = (45)(1/15) = 45/15 = 3
The equivalent fraction is 3/45.
Answer:
The vertex of this parabola, 
, can be found by completing the square.
Step-by-step explanation:
The goal is to express this parabola in its vertex form:
,
where 
, 
, and 
are constants. Once these three constants were found, it can be concluded that the vertex of this parabola is at 
.
The vertex form can be expanded to obtain:
.
Compare that expression with the given equation of this parabola. The constant term, the coefficient for 
, and the coefficient for 
should all match accordingly. That is:
.
The first equation implies that is equal to 
. Hence, replace the "
" in the second equation with 
to eliminate 
:
.
.
Similarly, replace the "" and the "" in the third equation with and 
, respectively:
.
.
Therefore, 
would be equivalent to 
. The vertex of this parabola would thus be:
.
Answer:
t = 1.94 seconds
Step-by-step explanation:
we have to solve the following polynomial equation:
-16t² + 60 = 0
16t² = 60
t² = 60/16 = 3.75
t = √3.75 = 1.936491673 seconds
the equation also has another possible answer = -1.936491673 seconds, but since time cannot be negative, we have to dismiss that option
