Answer: 7.5 miles
Step-by-step explanation:
think of it as a triangle; the bold line is the hypotenuse, or x.
8 |\ x
|_\ it's not a good triangle but you get the point
6
and then get out pythagorean theorem: a^2+b^2=c^2
put the numbers in: 8^2 + 6^2 = x^2
do some math:
64+36=x^2
100=x^2 (and then find square root)
10=x
<u>BUT</u>, it said each unit was 3/4 of a mile, so we must multiply 10 by 3/4 to get the actual distance, which is 7.5
Statistical questions are questions that are answered by collecting variable data, which can be given as an average/range/percentage. This question has a single answer, and therefore it is not a statistical question. A statistical question would be, for example, What is the average amount of time students in this class spend playing musical instruments?
The objective function is simply a function that is meant to be maximized. Because this function is multivariable, we know that with the applied constraints, the value that maximizes this function must be on the boundary of the domain described by these constraints. If you view the attached image, the grey section highlighted section is the area on the domain of the function which meets all defined constraints. (It is all of the inequalities plotted over one another). Your job would thus be to determine which value on the boundary maximizes the value of the objective function. In this case, since any contribution from y reduces the value of the objective function, you will want to make this value as low as possible, and make x as high as possible. Within the boundaries of the constraints, this thus maximizes the function at x = 5, y = 0.