A random sample of college students majoring in cinematography were surveyed about their movie habits. One question in the survey asked, “How many documentaries have you watched in the past month?” The table below represents the probability density function for the random variable X, the number of documentaries watched by cinematography majors in the past month. Find the standard deviation of X.

i would have to say it is c.

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet