Using the unit circle, determine the value of sin(-240°). A) -1/2
B) √3/2
C) 1/2
D) -√3/2

A ) - 1 / 2

B. √3/2.

Step-by-step explanation:

If we follow the circle from (1,0) clockwise through 240 degrees we end up at 120 degrees.

sin(120)

= √3/2

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