The diagram shows a ABCDEF 70× 90cm

Solution :

Tan 25° =  C4/BC

=> 0.466 = CF/60

=> C4 = 27.96

A4² = AC²  + C4²

AC² = 60² + 40² = 5200

CF² = 781.76

4F² =  5200 +  781.76

=> AF² =5981.76

=> A4 = 77.3

length A4  = 77.3  cm

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560