Answer:
For this case assuming that the random variable is X

And replacing n = 24 we got:

And we notate the distribution we got: 
Step-by-step explanation:
Previous concepts
The t distribution (Student’s t-distribution) is a "probability distribution that is used to estimate population parameters when the sample size is small (n<30) or when the population variance is unknown".
The shape of the t distribution is determined by its degrees of freedom and when the degrees of freedom increase the t distirbution becomes a normal distribution approximately.
The degrees of freedom represent "the number of independent observations in a set of data. For example if we estimate a mean score from a single sample, the number of independent observations would be equal to the sample size minus one."
Solution to the problem
For this case assuming that the random variable is X

And replacing n = 24 we got:

And we notate the distribution we got: 
Answer: THE GRAPH IS ATTACHED.
Step-by-step explanation:
We know that the lines are:

Solving for "y" from the first line, we get:

In order to graph them, we can find the x-intercepts and the y-intercepts.
For the line
the x-intercepts is:

And the y-intercept is:

For the line
the x-intercepts is:

And the y-intercept is:

Now we can graph both lines, as you can observe in the image attached (The symbols
and
indicates that the lines must be dashed).
By definition, the solution is the intersection region of all the solutions in the system of inequalities.
Answer:
The smallest bag that has enough food to feed his bag for one month
= 3.6 kilogram
Step-by-step explanation:
The quantity of dry food Ray feeds his dog = 0.12 kilogram
So the quantity of food he feeds his dog in one month
= 0.12 × 30 ∵ since 1 month = 30 days
= 3.6 kilogram
The smallest bag that has enough food to feed his bag for one month
= 3.6 kilogram