Myra was feeling particularly adventurous at the hair salon one day, and decided to dye her hair. The stylist informed her that she had 10 colors to choose from, 6 of which were shades of black. If Myra randomly selects 7 colors and tells the stylist to choose from those, what is the probability that exactly 5 of the chosen hair dyes are shades of black?
Write your answer as a decimal rounded to four decimal places.

In trapezoid efgh, m∠hef=(4x2+16)∘ and m∠gfe=(5x2+12)∘. find the value of x so that efgh is isosceles.

Colby and jaquan are growing bacteria in an experiment in a laboratory. colby starts with 50 bacteria in his culture and the number of bacteria doubles every 2 hours. jaquan starts with 80 of a different type of bacteria that doubles every 3 hours. let x equal number of days. colbys experiment follows the model: a.) y=50*2^x b.) y=50*2^8x c.) y=50*2^12x jaquans experiment follows the model: a.)80*2^x b.)80*2^8x c.)80*2^12x

Look at triangle wxy what is the length (in centimeters) of the side wy of the triangle?