Answer:Pois(ln(200))
Step-byy-step explanation:
Let N be the number of received calls in a day
That is
N∼Pois(λ).
0.5% = 0.5/100 = 1/200 of no calls
P(N=0)=e^−λ=1/200
-λ=e^(1/200)
λ=in(200)
Our number of calls in a day is distributed Pois(ln(200)).
The angle of elevation from the hiker to the park ranger is the same as the angle of depression from the ranger to the hiker, 29°.
The tangent function of an angle is the ratio of the opposite side (500') to the adjacent side (x) in the right triangle shown. That is
tan(29°) = 500' / x
Multiplying the equation by x/tan(29°) gives
x = 500' / tan(29°)
x ≈ 500' / 0.5543
x ≈ 902 ft
Answe
Step-by-step explanation:
The interior angles of a triangle add up to 180. We know from the photo that there is a 90° angle and an 18° angle, and 90-18 is 72, so the other interior angle is 72°. The question is asking you to find the value of side x, so you'll need to use sin.
sin (72°) = x/16
x ≈ 15.2
Answer:
from those are similar, the ratio of side will be 40/24=x/20 so x=33.3333 is equal 33 and one-third.
