The town of butler, nebraska, decided to give a teacher-competency test and defined the passing scores to be those in the 70th percentile or higher. the raw test scores ranged from 0 to 100. was a raw score of 82 necessarily a passing score? explain.

yes, since a score of 82 is higher than 70.

no, it might have a percentile rank less than 70.

no, it might have a percentile rank greater than 70.

yes, it might have a percentile rank less than 70

2  

No, it might have a percentile rank less than 70.

Step-by-step explanation:

Percentile is the measure indicating the the value below which a given percentage of observations of a group of observation falls.

For example 90 percentile in an exam means that the 90% of the people have scored below you in the exam.

70 percentile is the score below which 70% of the scores lie.

Now, it might be possible that less than 70% score lies below 82, in which case it can not be considered as 70th.

So, the score 82 might not be  necessarily be a passing score as it may have percentile score less than 70 percentile

hence, option 2 that is  

No, it might have a percentile rank less than 70. is correct

You would find the slope then use the Pythagorean theorem to solve for other side. When finding the slope, in this case the negatives don't matter because they will get squared and become positive anyways.

A to B: 5/7

B to C: 2/9

A to C: 2/3

A to B: 5/7 = square root 74 roughly 8.6

B to C: 2/9 = square root 86 roughly 9.2

A to C: 2/3 = square root 13 roughly 3.6

8.6+9.2+3.6=21.4