Answer:
Step-by-step explanation:
The area of a regular polygon is
where a is the apothem and p is the perimeter. Perimeter is simple: just count the number of sides the polygon has and multiply it by 3 (the length of one side).
p = 3(9) is 27 inches for the perimeter.
We have what we need now to find the area:
and
so
A = 55.35 square inches
Answer with Step-by-step explanation:
We are given that an equivalence relation P on Z as
Let 
if and only if
such that x-y=2k.
We have to show that how the reflexive property and symmetric property of an equivalence relations hold for P on Z.
We know that reflexive property
a is related to a by given relations.
If xPax then we get

Where k=0 and 0 belongs to integers.
Hence, the relation satisfied reflexive property.
Symmetric property :If a is related to b then b is related to b.
If x and y is related by the relation
where k is any integer

k belongs to integers.
Hence, relation satisfied symmetric property.
Answer:
Value of the test statistic for this problem = -3.74
Step-by-step explanation:
Here
the sample size n = 1263
and the x = 565
So, the p' -value = 565/1263 = 0.4473
As per the test statistics formula, z value will be evaluated
z = (0.4473-p)/sqrt {p(1-p)/n}
Let us say that p = 0.5
Substituting the given value in above equation, we get -
z = (0.4473-0.5)/sqrt {0.5(1-0.5)/1263}
z = -3.74