Gustavo and aiden are walking due west through the forest when they happen upon an angry grizzly bear. gustavo runs away 2 3 23 ∘ 23, degree north of east for 3 0 0 300m300, space, m, and aiden runs away 3 3 33 ∘ 33, degree south of east for 2 5 0 250m250, space, m. how far are gustavo and aiden away from each other?

We can actually solve this problem using the cosine law. We know that Gustavo ran 23° above the horizontal, while Aiden ran 33° below, hence the total angle between them is 56°. Therefore the distance between them is:

c^2 = a^2 + b^2 – 2 a b cos θ

c^2 = (300)^2 + (250)^2 – 2 (300) (250) cos 56

c^2 = 68,621.06

c = 262 m

They are 262 meters apart.

  the correct choice is marked

step-by-step explanation:

the first two graphs show multiple turning points. the last graphs matches the description in every detail.

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