Find the value of p. if x=15,17,19,20+p,23 and y=2,3,4,5p,6

In a study of helicopter usage and patient​ survival, among the 52,338 patients transported by​ helicopter, 182 of them left the treatment center against medical​ advice, and the other 52,156 did not leave against medical advice. if 50 of the subjects transported by helicopter are randomly selected without​ replacement, what is the probability that none of them left the treatment center against medical​ advice? the probability is ?

Prove that: cosy. cos(2x-y)=cos^2x-sin^2(x-y)​

In the given figure cde is an isoceles triangle with an area of 24cm square if ab= 8 cm and ad=12cm. calculate the area of trapezium abed