Answer:
This mapping isn't a function.
Step-by-step explanation:
A mapping specifies a relation between two sets of items (input and output). For example, a mapping of the form would map the input to output and map the input to output .
A function is a mapping where each input is associated with exactly one output.
Note that both and are in the mapping given in this question. The input is mapped to more than one outputs. Thus, this mapping isn't a function.
Answer:
option A.
Step-by-step explanation:
To solve this, we need to use the following exponent rules:
Quotient rule: (a^n)/(a^m) = a^(n-m)
Power rule: (a^n)^m = a^nm
Power of a product rule: (ab)^n = (a^n)(b^n)
Then, we have the following expressions:
So the correct result is option A.
Answer:
Step-by-step explanation:
There are 15 days for which Jame's mother is out on vacation. Therefore, Ry={1,2,3,...,15}, assuming each day is equally likely, Py(k)=1/15 for k=1,2,....,15
=0 otherwise
Py(1)=P(Y=1)=1/15
Py(2)=P(Y=2)=1/15+1/15=2/15
Py(3)=P(Y=3)=1/15+1/15+1/15=3/15
Px(Y)={P(Y=y) if y is in Ry
0 otherwise