Answer:

Step-by-step explanation:
let blank be O


Answer:
Step-by-step explanation:
we are given
(A)
(f×g)(x)=f(x)*g(x)
now, we can plug it
we can simplify it
(B)
Domain:
Firstly, we will find domain of f(x) , g(x) and (fxg)(x)
and then we can find common domain
Domain of f(x):
we know that f(x) is undefined at x=0
so, domain will be
∪
Domain of g(x):
Since, it is polynomial
so, it is defined for all real values of x
now, we can find common domain
so, domain will be
∪..............Answer
Range:
Firstly, we will find range of f(x) , g(x) and (fxg)(x)
and then we can find common range
Range of f(x):
we know that range is all possible values of y for which x is defined
since, horizontal asymptote will be at y=0
so, range is
∪
Range of g(x):
Since, it is quadratic equation
so, its range will be
now, we can find common range
so, range will be
∪.............Answer
Answer:
The net sales for last month were <u>$19,525</u>.
Step-by-step explanation:
Given:
Last month sales were $24,000.
Discounts is $3,500 and $975 in returns.
Now, to get the net sales for last month.
So, we deduct the discount:
<em>Sales - discounts</em> = 
Then, we deduct the returns from the remaining amount:
<em>Sales after discounts - returns</em> = 
= 
Therefore, the net sales for last month were $19,525.
Answer:
Option D -0.67
Step-by-step explanation:
Given : Preference of Brand A =30% ⇒ 
Preference of Brand B =70% ⇒ 
Prefer Brand A and are Female = 20% ⇒ 
Prefer Brand B and are Female = 40% ⇒ 
To find : Selected consumer is female, given that the person prefers Brand A 
Solution : Using Bayes' theorem, which state that

where, P(A) and P(B) are probabilities of observing A and B.
P(B/A)= is a conditional probability where event B occur and A is true
P(A/B)= also a conditional probability where event A occur and B is true.
Now, applying Bayes' theorem,





Therefore, Option D is correct probability that a randomly selected consumer is female, given that the person prefers Brand A -0.67