Answer:
- 21
Step-by-step explanation:
The minimum value occurs at the vertex of the function
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
Given
f(x) = x² - 6x - 12
add/ subtract ( half the coefficient of the x- term)² to x² - 6x
f(x) = x² + 2(- 3)x + 9 - 9 - 12
= (x - 3)² - 21
with vertex = (3, - 21 )
The minimum is the value of k, that is minimum value = - 21
The variability measures the closeness of the individual data provided. So, the most reliable sampling is the one with the lowest variability.
For this case, the question with the lowest sampling variability is question 3. Therefore, we can conclude that the answers to which of the questions are most reliable is question 3.
Answer: $324
Step-by-step explanation:
i=prt
i=(6000)(.054)(1)
i=324
the answer is 5.10729613...
The ratio of the geeses to ducks will be 11:12 because there are 11 geeses and 12 ducks :)
