Answer:
416
Step-by-step explanation:
Standard deviation is 2.6
Margin error for the problem is 0.25
Probability 95%, that means thet the siginficance level α is 1 – p
α = 1 – 0.95 = 0.05
margin of error (ME) can be defined as follows
ME = Z(α/2) * standard deviation/ √n
Where n is the sample size
Z(0.05/2) = Z(0.025)
Using a z table Z = 1.96
Now, replacing in the equation and find n
.25 = 1.96 * 2.6/ √n
0.25 = 5.096/√n
√n = 5.096 /0.25
√n = 20.38
n = 20.38^2
n = 415.5 = 416
Answer:
420
Step-by-step explanation:
The remainder theorem tells you the remainder is f(4), which you can find by evaluating the expression for x=4. Evaluation is simpler if the expression is written in Horner form first.
... f(x) = (((x +4)x -1)x -16)x -12
... f(4) = (((4 +4)4 -1)4 -16)4 -12
... = ((8·4 -1)4 -16)4 -12
... = (31·4 -16)4 -12
... = 108·4 -12 = 420
_____
<em>Comment on evauation using Horner's form</em>
The intermediate results (contents of parentheses) are the same as the intermediate results you get when you use synthetic division.
Answer:
a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length).
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles
97 + x = 64 + 27
x = 97 - 64 - 27 = 6