Ill give brainlest if correct
2 answers:
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Answer: Vertex = (2, -15) 2nd point = (0, -3)
<u>Step-by-step explanation:</u>
g(x) = 3x² - 12x - 3
= 3(x² - 4x - 1)
a=1 b=-4 c=-1
Find the x-value of the vertex by using the formula for the axis of symmetry:
= 2
Find the y-value of the vertex by plugging the x-value (above) into the given equation: g(x) = 3x² - 12x - 3
g(2) = 3(2)² - 12(2) - 3
= 12 - 24 - 3
= -15
So, the vertex is (2, -15) ← PLOT THIS COORDINATE
Now, choose a different x-value. Plug it into the equation and solve for y. <em>I chose x = 0</em>
g(0) = 3(0)² - 12(0) - 3
= 0 - 0 - 3
= -3
So, an additional point is (0, -3) ← PLOT THIS COORDINATE
Answer:
Mean = 113.72
The estimator of 113.72 is point estimate used for the conceptual population of all first-graders in this school
Step-by-step explanation:
Data provided in the question:
Data:
82 96 99 102 103 103 106 107 108 108 108 108 109 110 110 111 113 113 113 113 115 115 118 118 119 121 122 122 127 132 136 140 146
Number of data = 33
In the hint it is also given that the sum of the data value i.e ∑x = 3753
Now,
Point estimate of mean is given as;
Mean =
or
⇒ Mean =
or
⇒ Mean = 113.72
Hence,
The estimator of 113.72 is point estimate used for the conceptual population of all first-graders in this school
