There are 40 students in an elementary statistics class. On the basis of years of experience, the instructor knows that the time needed to grade a randomly chosen paper from the first exam is a random variable with an expected value of 6 min and a standard deviation of 6 min. (a) If grading times are independent and the instructor begins grading at 6:50 p. m. and grades continuously, what is the (approximate) probability that he is through grading before the 11:00 p. m. TV news begins

michael scott & dwight schrute

step-by-step explanation:

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18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²

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