Linear equations: word problems UFG
1 answer:
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Complete answer:
Fulfill the requirements for a certain degree, a student can choose to take any 7 out of a list of 20 courses, with the constraint that at least 1 of the 7 courses must be a statistics course. Suppose that 5 of the 20 courses are statistics courses.
(a) How many choices are there for which 7 courses to take?
(b) Explain intuitively why the answer to (a) is not
Answer:
a) 71085 choices
b) See below
Step-by-step explanation:
a) First we're going to calculate in how many ways you can take 7 courses from a list of 20 without the constraint that at least 1 of the 7 courses must be a statistics course, that's simply a combination of elements without repetition so it's: , but now we should subtract from that all the possibilities when none of the courses chose are a statistic course, that's is
because 15 courses are not statistics and 7 are the ways to arrange them. So finally, the choices for which 7 courses to take with the constraint that at least 1 of the 7 courses must be a statistics course are:
b) It's important to note that the constraint at least 1 of the 7 courses must be a statistics course make the possible events dependent, we can not only fix an statistic course and choose the others willingly ( that is what means) because the selection of one course affect the other choices.
Answer:
The value of the equation for x is or 559.5.
Step-by-step explanation:
Consider the provided equation.
We need to solve the equation for x.
Use the distributive property:
Add the like terms.
Isolate the variable as shown:
Hence, the value of the equation for x is or 559.5.