Answer: Option 'C' is correct.
Step-by-step explanation:
Since we have given that
Polygon X is similar to polygon.
And Polygon X is three times the size of polygon Y.
So, it becomes,

Hence, perimeter of polygon Y is 27.
Therefore, Option 'C' is correct.
Answer:
Length of rectangle: 2n - (1/3) + 9/(3n)
Width of rectangle = 3n
Rectangle area = A = 6 n^2 - n + 9
Step-by-step explanation:
Rectangle area = A = 6 n^2 - n + 9
test what the roots are: b^2 - 4ac = (-1)^2 - 4*6*9 < 0 no real roots
-215 < 0 discriminant
(6 n^2 - n + 9) / (3n) =
2n - (1/3) + 9/(3n)
If the area is divided by 3n, the quotient is 2n - (1/3) and the remainder is 9
Answer:
The statement that cushion A is twice as popular as cushion B cannot be verified
Step-by-step explanation:
From the question we are told that:
Sample size n=38
Type a size A 
Type a size B
Generally the probability of choosing cushion A P(a) is mathematically given by


Generally the equation for A to be twice as popular as B is mathematically given by

Therefore Hypothesis

Generally the equation normal approx of p value is mathematically given by



Therefore from distribution table


Therefore there is no sufficient evidence to disagree with the Null hypothesis 
Therefore the statement that cushion A is twice as popular as cushion B cannot be verified
Step-by-step explanation:
first you find the volume of a bin.
that is multiplication of 3 dimensions given.
4*4*4=64 cubic feet...
now volume of books..
0.75*0.75.0.25=0.14 cubic feet
now the number of books that will fit the bin=volume of bin/volume of books
64/0.14=455
455 books
15
If it’s not message me I’ll give u the answer