Answer:
P(F/E) = 0.5
Step-by-step explanation:
We have the following information:
P(E∩F)=0.1
P(E)=0.2
Additionally, the probability P(A/B) of event A given Event B is calculated as:
P(A/B) = P(A∩B)/P(B)
Now, we want the probability P(F/E), so it is calculated as:
P(F/E) = P(E∩F)/P(E)
Finally, replacing the values we get:
P(F/E) = 0.1 / 0.2
P(F/E) = 0.5
First find her rate per hour by dividing $90 by 5 hours:
90 / 5 = 18
She makes $18 in one hour.
1 hour = 3600 seconds.
Divide her hourly rate by 3600 to find how much she makes per second:
18 / 3600 = $0.005 per second.
Now divide $0.25 by 0.005 to find the number of seconds needed:
0.25 / 0.005 = 50
It takes 50 seconds.
ANSWER
B. The functions f(x) and g(x) because f(g(x))=g(f(x))=x
EXPLANATION
The given functions are:

and

If f(x) and g(x) are inverses, then
f(g(x))=x


Expand the parenthesis to obtain,


Also,




Hence f(x) and g(x) are inverses
Answer:
Appears to be A with a typo.
Should be 
Step-by-step explanation:
To evaluate or simplify expressions with exponents, we use exponent rules.
1. An exponent is only a short cut for multiplication. It simplifies how we write the expression.
2. When we multiply terms with the same bases, we add exponents.
3. When we divide terms with the same bases, we subtract exponents.
4. When we have a base to the exponent of 0, it is 1.
5. A negative exponent creates a fraction.
6. When we raise an exponent to an exponent, we multiply exponents.
7. When we have exponents with parenthesis, we apply it to everything in the parenthesis.
We will use these rules to simplify.
