Answer: See explanation
Step-by-step explanation:
Your question isn't complete as you didn't give the sales tax percent. In order to solve the question, let's assume that the sales tax is 6%.
(a) What is the amount of sales tax that Mr. Speer has to pay?
This will be:
= Sales tax percent × Amount charged
= 6% × $300
= 6/100 × $300
= 0.06 × $300
= $18
The sale tax is $18
(b) What is the total amount Mr. Speer has to pay?.
The total amount will be the addition of the amount charged and the sales tax. This will be:
= $300 + $18
= $318
Answer: The required probability is 0.1923.
Step-by-step explanation:
Since we have given that
Probability that it's a good dog = 0.4
Probability that it's a bad dog = 1-0.4 = 0.6
Probability that the dog smokes given that its a bad dog = 0.7
Probability that it smokes given that its a good dog = 0.25
According to question, probability of smoking pipe would be
P(good).P(Smoking pipe|good)+P(bad).P(smoking pipe|bad)

So, Probability of getting a good dog given that it is smoking pipe is given by

Hence, the required probability is 0.1923.
Step-by-step explanation:
this will may be helpful for you.
Answer:
a) Depth changing rate of change is
, When the water is 6 meters deep
b) The width of the top of the water is changing at a rate of
, When the water is 6 meters deep
Step-by-step explanation:
As we can see in the attachment part II, there are similar triangles, so we have the following relation between them
, then
.
a) As we have that volume is
, then
, so we can derivate it
due to the chain rule, then we clean this expression for
and compute with the knowns
, is the depth changing rate of change when the water is 6 meters deep.
b) As the width of the top is
, we can derivate it and obtain
The width of the top of the water is changing, When the water is 6 meters deep at this rate