Answer:
In 4 months the cost of both gyms will be the same.
Step-by-step explanation:
At first we need to model the function to calculate the cost of the 2 gyms.
Slope-intercept equation of linear function

where
slope of line
y-intercept
Let linear function to calculate total cost of gym be:

where
total cost of gym
cost per month (slope)
number of months
start-up fee (y-intercept)
For Gym 1
,

For Gym 2
,

In order to find the number of months the cost of both gyms will be the same, we need to equate both functions and solve for number of months 


So,
In 4 months the cost of both gyms will be the same.
Answer:y=3x+4
Step-by-step explanation:
Answer:
n = 200
p = 0.33.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this problem we have that:
33% of the births are Cesarean, so 
Sample of 200 births, which eans that, 
First we need to see in which quadrant 11pi/6 lies And it lies in fourth quadrant. And to find the reference angle in the fourth quadrant, we need to subtract the given angle from 2 pi . For e.g if the angle is 5pi/3, then the reference angle is 2pi - (5pi/3) = pi/3 .
So for the given question, reference angle of 11pi/6 is

And that's the required reference angle .
7 because 7 • 7 = 49 • 7 = 343