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.
What's nice about this problem is that it gives you the parenthesees.
So, you can just set up each part individually
Options :
a mean - 40, median - 50, mode - 60
b. mean-60, median - 50, mode - 40
c. mean - 40, median-60, mode - 50
d. mean - 50, median - 50, mode - 50
Answer: mean - 40, median - 50, mode - 60
Step-by-step explanation: A negatively skewed distribution is characterized by it long tail being positioned to the left(negative direction) with its peak positioned to the right (positive direction) of the distribution. On a general note, the mean is always positioned towards the left or negative side if the peak, with the median coming next and usually positioned to the right of the mean and the mode positioned to the right side of the median.
Hence, for a negatively skewed distribution, the mean has the least value followed by the median, with the mode boasting the highest.
That is : mean < median < mode
Answer: The required share of Bill from net income is $19500.
Step-by-step explanation: Given that Bill and Bob share profits of their partnership in the ratio of 3:1 respectively and the net income of the firm is $26,000.
We are to find the Bill's share of net income.
Let 3x and 1x represents the shares of net income of Bill and Bob respectively.
Then, according to the given information, we have
Therefore, Bill's share of net income is given by
Thus, the required share of Bill from net income is $19500.
Answer:
the answer is c hundred percent sure
Step-by-step explanation: