Answer:
We have the function:
r = -3 + 4*cos(θ)
And we want to find the value of θ where we have the maximum value of r.
For this, we can see that the cosine function has a positive coeficient, so when the cosine function has a maximum, also does the value of r.
We know that the meaximum value of the cosine is 1, and it happens when:
θ = 2n*pi, for any integer value of n.
Then the answer is θ = 2n*pi, in this point we have:
r = -3 + 4*cos (2n*pi) = -3 + 4 = 1
The maximum value of r is 7
(while you may have a biger, in magnitude, value for r if you select the negative solutions for the cosine, you need to remember that the radius must be always a positive number)
Answer:

And using this formula we have this:

Then we can conclude that the probability that that a person waits fewer than 11 minutes is approximately 0.917
Step-by-step explanation:
Let X the random variable of interest that a woman must wait for a cab"the amount of time in minutes " and we know that the distribution for this random variable is given by:

And we want to find the following probability:

And for this case we can use the cumulative distribution function given by:

And using this formula we have this:

Then we can conclude that the probability that that a person waits fewer than 11 minutes is approximately 0.917
Answer:
4
Step-by-step explanation:
x butterflies and y dragonflies
4 < x + y 《 8
x = 2y
4 < 2y + y < 8
4 < 3y < 8
Only multiple of 2 between 4 and 8 is 6
So 3y = 6
y = 2
x = 2y = 4
Answer: 
This means that he has to save at least $88 or more to have enough money.
Step-by-step explanation:
He has $37 and he needs to save more (+) but we don't know how much more that is, so that's why that is our unknown value. (x). The sum of them has to be at least 125 or greater.

Subtract 37


Answer:
34
Step-by-step explanation:
5x+10=180
5x=170
x=34