The mayor of a small town wants to determine the opinion of citizens of his town on the building of a new recreation center. He will select every fifth name on a list of town citizens to survey. What type of sampling strategy is the mayor using?







A.
convenience





B.
simple random





C.
stratified random





D.
systematic

Answer:

 , , and

Step-by-step explanation:

1.

Let's find a common denominator:

=

2/(x-1)x(x+1)

2.

Distribute exponents:

2^3(y^2)^3

__________

  8^2(y)^2

Numerator:

2 to the power of 3 equals (2 · 2 · 2) = 8

y to the power of 2 to the power of 3 equals, y to the power of 6 (this is because when exponents in parenthesis are held to the power of another number outside of the parenthesis, you multiply them)

Now let's simplify the denominator:

8 to the power of 2 equals (8 · 8) = 64

y to the power of 2 is just y to the power of 2, so our new expression is:

Let's cancel the terms further:

8/64 can be simplified to 1/8

And when you cancel exponents, you subtract the denominator's exponent from the numerator's exponent ( = )

Now put them together:

Which is,

=

y^4/8

3.

The common denominator for both fractions is 3t, so let's make -1/3's denominator 3t by multiplying t to both the numerator and the denominator:

-1 · t

_____ = -1(t)/3t = -t/3t

 3 · t

Now let's solve for the numerator:

(t + 2) - t, the t's cancel out, t - t + 2 = 2

And the denominator stays the same, so it will still equal 3t

Finally, you'll get an answer of

=

2/3^2

The perimeter of the rectangle whose dimensions are (x + 5) and (y - 1) is,

 P = 2x + 2y + 8

The correct option from the given choices is A.

What is a rectangular perimeter?

The whole distance that a rectangle borders, or its sides, the cover is known as its perimeter. Given that a rectangle has four sides, the perimeter of the rectangle will be equal to the total of its four sides.

Given:
A shape is a rectangle.

And P is the perimeter of that rectangle.

And the dimensions of the rectangle are (x + 5) and (y - 1).

So, the perimeter of the rectangle,

= 2 [(x + 5) + (y - 1)]

= 2 [ x + y + 4]

= 2x + 2y + 8

Therefore, the perimeter of the shape is P = 2x + 2y + 8.

To learn more about the rectangular perimeter;

brainly.com/question/22109593

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Answer:P=2x + 2y + 8

Step-by-step explanation: Perimeter (p) =2L+ 2w

P= 2(x+5)+2(y-1)

Remove bracket

P=2x+ 10 +2y - 2

P=2x+2y+8

Answer: you would need like 3 diced and you would have to roll 6 , 6 ,4. hope is helped !

Step-by-step explanation:

6+6+4=16