Circumcenter is where three perpendicular bisectors intersect and incenter is where the three angle bisectors intersect.
Way to find them and the theorems are mentioned below.
Step-by-step explanation:
To find Incenter :
Construct angle bisectors of each angle of the triangle and their intersection point gives the incenter.
To find Circumcenter:
Construct perpendicular bisectors of all sides of triangle and their intersection point gives the circumcenter.
Circumcenter Theorem: It states that the vertices of a triangle are equidistant from the circumcenter.
Incenter Theorem: It states that the incenter is equidistant from the sides of the triangle.
Answer:
And rounded up we have that n=385
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Solution to the problem
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by 
and 
. And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that 
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
We can use as an estimator for p 
. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=385
14x22 equals 308. Just multiply. Good work, smarty!
The inequality the that is joined by and or or is called a Compound inequality. Compound inequality contains least two inequalities that are separated by either an or or. The graph to this inequality with an And represent intersection while the inequality that contains or represent the union.
Answer:
Width= 85
Length= 485
Step-by-step explanation:
The width will be x, and the length will be x + 400, since it is 400 more than the width.
We know that the perimeter of a rectangle can be found using the equation 2w + 2l.
We plug in the values we have found.
2(x) + 2(x+400) = 1140
4x + 800 = 1140
4x = 340
x = 85
Now we know the width, since it is simply x. To find length all we have to do is add 400.
400 + 85 = 485
