Answer:
The (x,y) point of the vertex is usually labelled as:
Vertex = (h, k)
h = -b / 2a
k = ah^2 + bh + c
f(x) = -3x^2 + 12x -5
a = -3 b=12 c=-5
h = -12 / -6 therefore h = 2
k = -3*2^2 + 12*2 -5
k = -12 + 24 -5 therefore k = 7
Vertex (2, 7)
Source: http://www.1728.org/quadr3.htm
Step-by-step explanation:
Answer:
2143-764=1379
Step-by-step explanation:
Answer:
33% of 279 is equivalent to multiplying them: 33% × 279.
Step-by-step explanation:
Answer:
Confidence interval
And the margin of error would be:

Step-by-step explanation:
For this case we have the followig dataset:
DATA: 8.2; 9.1; 7.7; 8.6; 6.9; 11.2; 10.1; 9.9; 8.9; 9.2; 7.5; 10.5
We can calculate the mean and the deviation with the following formulas:


And replacing we got:
![\bar X= 8.98[/tex[tex]s = 1.29](https://tex.z-dn.net/?f=%20%5Cbar%20X%3D%208.98%5B%2Ftex%3C%2Fp%3E%3Cp%3E%5Btex%5Ds%20%3D%201.29)
The confidence interval for the mean is given by the following formula:
(1)
The degrees of freedom are given by:
The Confidence level is 0.95 or 95%, the value of significance is
and
, and the critical value would be
Repplacing the info we got:
And the margin of error would be:
