X^2 +3x-4=0
(X+4)(x-1)=0 so x = -4 and x=1 are solutions
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
Answer:
c. we are 99% confident that the true mean age of horses with laminitis is between 6.3 and 7.4 years old.
Step-by-step explanation:
Given that veterinary researchers at a major university veterinary hospital calculated a 99% confidence interval for the average age of horses admitted for laminitis, a foot disease that leaves the horse severely lame, as 6.3 to 7.4 years.
i.e. if X is the age of horses admitted for laminitis then the sample mean i.e. x bar follows a distribution with 99% confidence interval as
(6.3,7.4)
The interpretation of 99% confidence interval is the for sample of large size drawn at random from population we can be 99% confident that the sample mean will fall within this interval.
So the correct option is
c. we are 99% confident that the true mean age of horses with laminitis is between 6.3 and 7.4 years old.
24 because 12 times 2 is equal to 24
