-π/2 < arctan(x) < π/2
So cos(π/2) < cos(arctan(x)) < cos(0)
0 < cos(arctan(x)) < 1
We can model the equation:y = m x + b, where y is the total profit and x is the number of hotdogs sold.The system of equations is:
90 = 40 m + b210 = 80 m + b---------------------b = 90 - 40 m210 = 80 m + 90 - 40 m210 - 90 = 40 m120 = 40 mm = 120 : 40m = 3b = 90 - 40*3b = 90 - 120b = - 30Answer: The equation is y = 3 x - 30
Answer:
e) 0.14
Step-by-step explanation:
We solve this problem building the Venn's diagram of these probabilities.
I am going to say that:
A is the probability that a driver does not have a valid driver's license.
B is the probability that a driver does not have insurance.
We have that:

In which a is the probability that a driver does not have a valid driver's license but has insurance and
is the probability that a driver does not have any of these things.
By the same logic, we have that:

We start finding these values from the intersection.
4% have neither
This means that 
6% of all drivers have no insurance
This means that
. So



12% of all drivers do not have a valid driver’s license
This means that 
So



The probability that a randomly selected driver either fails to have a valid license or fails to have insurance is about

So the correct answer is:
e) 0.14
Answer:
1 7/8
Step-by-step explanation:
6 - 4 1/8
2 - 1/8
15/8 = 1 7/8
The answer is 1:11. After it being simplified from 6:66. Hope this helps.