Hello :
<span> x4 − 9x2 − 4x + 12 = x²(x²-9)-4(x-3)
=x²(x-3)(x+3)-4(x-3)
= (x-3)(x²(x+3)-4)
= (x-3)(x3+3x²-4)
= (x-3)(x-1)(x²+4x+4)
</span>x4 − 9x2 − 4x + 12 = (x-3)(x-1) (x+2)²
<span> potential roots is : 3 ; 1 :-2</span>
Answer:
a) margin of error ME = 5.77
b) Margin of error becomes smaller
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
x+/-ME
Where margin of error ME = zr/√n
a)
Given that;
Mean = x
Standard deviation r = 25
Number of samples n = 72
Confidence interval = 95%
z(at 95% confidence) = 1.96
Substituting the values we have;
ME = 1.96(25/√72)
ME = 1.96(2.946278254943)
ME = 5.774705379690
ME = 5.77
b)
For n = 89
ME = 1.96(25/√89)
ME = 1.96(2.649994700015)
ME = 5.193989612031
ME = 5.19
5.19 is smaller than 5.77 in a) above. So,
Margin of error becomes smaller
Answer:
Answer D
Step-by-step explanation:
The formula is 
. We have our r (radius) and h (height), so plugging it all in would give us A = (3.14)(5 + sqrt(12^2)+(5^2). After computing this, you would get answer D, 282.6.
Answer:
16
Step-by-step explanation:
