Answer:
12 ways
Step-by-step explanation
First, we will count the number of ways to get three correct answers:
Notice there is a set of 4 correct answers (one per each one of the four questions in the test). We need to pick three of them. The order does not matter (for example: it is the same to have the arrangement of correct answers: Question 1 , Question 2 and Question 3, than having the arrangement: Question 2, Question 1 and Question 3). Therefore, we are dealing with combinations from a set of 4 elements forming groups of 3 elements:
Now we need to count the number of ways we can answer incorrectly the remaining fourth question:
We have a total set of 3*4 = 12 incorrect answers (three per each one of the four questions in the test). But notice that once we have picked three correct answers, then we should exclude from the set of incorrect answers we can pick, those of the three questions already answered. So, we are left with just the set of incorrect answers of the remaining question that has not been responded yet. Thus, we just have 3 incorrect answer to pick for the remaining question.
Then using the fundamental counting principle, we multiply the previous results:
Ways to answer correctly three questions * Ways to answer incorrectly the remaining question
Therefore, there are 12 ways to fill out the answer sheet so that three answers are correct and one is incorrect.
Answer: the answer is attached
Step-by-step explanation:
2y/y-3. 4y-12/2y+6
Answer:
-2
Step-by-step explanation:
y/x=constant
3/24=y/(-16)
y=-2
Answer:
y=3/2x+0
Step-by-step explanation:
The formula for slope intercept form formula is y=mx+b where m is the slope and b is the y intercept and since the slope is rise over run ( or rise/run just put it into fraction form) we count from the y intercept up until we can see the line reach a point where it touches a actual cross point ( in this case from the y intercept we see it goes up three) Then we count over how many to that cross point ( the full point, not just a random place on the chart) (in this case 2) and that creates 3/2. Now for the y intercept. Where does the line intercept the vertical line? That's your y intercept. In this case it's 0. Now you can see where we count up from three ( for the slope) and over two. Right onto that point. Hope this makes sense! If not look up Khan academy for some extra tutoring that is free.
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