Arecent survey showed that 102 adults out of a sample of 400 do not like cold weather. however, 115 of those studied said that they had interest in taking skiing lessons. based on this sample, if an adult is chosen at random, what is the probability that he or she has no desire to take skiing lessons? express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

one peck is 9.309 quarts

9.309x 2

x^2 + 81

we can factor this using difference of square binomials.

rewrite the equation:

x^2 - (-81)

factor:

(a^2 - b^2) = (√a^2 + √b^2)(√a^2 - √b^2)

(x^2 - (-81) = (x + √-81)(x - √-81)

we can remove the - from under the radical by multiplying it by i.

(x^2 - (-81) = (x + i√81)(x - i√81)

(x^2 - (-81) = (x + 9i)(x - 9i)

we can check our answer by using foil:

x^2 - 9ix + 9ix - 81i^2

x^2 - 81^2

i^2 = -1

x^2 + 81

19479 is the answer ^^