Answer:
i believe >
Step-by-step explanation:
Hello!
Since she can not make negative money and the maximum amount of money she can make is 225 so the domain is

Hope this helps!
Let shirts be x and ties be y
3x+5y=$60 Equation 1 (Equation 1 will be denoted by *)
2x+3y=$39 Equation 2 (Equation 2 will be denoted by !)
*x2 6x + 10y = $120
!x3 6x + 9y = $117
*-! y = 120-117 =3
Ties are $3 each
Substitute this value back into one of the original 2 equations:
3x+5y=$60
3x+(5x3) = 60
3x+15=60
3x=45
x=15
Shirts are $15
The vertical asymptote of the function that are illustrated in the calculus and the function y = 3cot(1/2x) - 4 will be:
B. x = 0
C. x = +-2π
<h3>How to illustrate the information?</h3>
It should be noted that the function that's given from the information illustrated is given as:
y = 3 for (x/2) - 4
It should be noted that there is no phase shift and the period is 2π.
It should be noted that the vertical asymptote will be x = 3πn where no is represented as the integer at n = 0, 1, and -1.
Therefore, the vertical asymptote of the function that are illustrated in the calculus and the function y = 3cot(1/2x) - 4 will be x = 0 and x = +2π.
Learn more about calculus on:
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Answer:
a)
X | 1 3 5 7
f(X) | 0.4 0.2 0.2 0.2
b) 
Step-by-step explanation:
For this case we have defined the cumulative distribution function like this:





And we know that the general definition for the distribution function is given by:

Where f represent the density function.
Part a
For this case we need to find the density function, so we can find the values for the density for each value of X = 1,2,3,4,5,6,7,... since X is a discrete random variable.







And for any value higher than 7 we have that:
![x_i \in [8,9,10,...]](https://tex.z-dn.net/?f=%20x_i%20%5Cin%20%5B8%2C9%2C10%2C...%5D)

So then we have our density function defined like this:
X | 1 3 5 7
f(X) | 0.4 0.2 0.2 0.2
Part b
For this case we want to find this probability 
And since the random variable is discrete we can write this like that:
