Asurvey of 20 colleges found that seniors graduated with an average $12000 in debt from student loans. the debt was normally distributed with a standard deviation of $3200. find the probability that a senior graduated owing more than $16000.

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step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus