The sum of length and width is half the perimeter, 160 yd. The length is the average of the sum and difference of dimensions:
.. (160 +20)/2 = 90
Then the width is 160 -90 = 70
The rectangular field is 70 yd by 90 yd.
Kim's method of sampling the students in the given scenario is said to; It is not a random survey.
<h3>What is a random sample?</h3>
Random sampling is defined as a sampling technique whereby each sample has an equal probability of being chosen. This means that a sample chosen randomly is meant to be an unbiased representation of the total population.
In this question, we are told that Kim asked the first 50 kids to school in the morning about a question and used their responses to arrive at a conclusion.
Now, Kim's method is not random because it is biased as only those who came earliest were asked.
Read more about Random Survey at;brainly.com/question/251701
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Part A:
Given
defined by
but
Since, f(xy) ≠ f(x)f(y)
Therefore, the function is not a homomorphism.
Part B:
Given
defined by
Note that in
, -1 = 1 and f(0) = 0 and f(1) = -1 = 1, so we can also use the formular
and
Therefore, the function is a homomorphism.
Part C:
Given
, defined by
Since, f(x+y) ≠ f(x) + f(y), therefore, the function is not a homomorphism.
Part D:
Given
, defined by
but
Since, h(ab) ≠ h(a)h(b), therefore, the funtion is not a homomorphism.
Part E:
Given
, defined by
, where
denotes the lass of the integer
in
.
Then, for any
, we have
and
Therefore, the function is a homomorphism.
Answer:
-3ab
Step-by-step explanation:
-27/9= 3
(a^2)/a=a
(b^2)/b=b