Ben put $60 into his savings account each month for years. He spent 60% of his savings on a used car. How much money did Ben hav
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Answer:
The probability that the person reaches home for the holidays is 0.94.
Step-by-step explanation:
A person wants to go home for Thanksgiving and he has booked a flight with US-Scareways.
It is provided that in 30 percent of the cases the company has canceled the flight you were on.
SO there is 70% chance of reaching home without any difficulties.
In case the flight is cancelled, then as a backup the person's friend Walter offers a ride home.
Walter also has a 80% chance of giving the ride. So there is 20% chance the person will not be able to reach hone if his flight gets cancelled.
Consider the tree diagram below.
The events are:
FC = flight is cancelled
FT = Flight is on time
H = reaches home
Compute the probability that the person reaches home as follows:
P (Reaching Home) = P (H|FC) × P (FC) + P (FT)
Thus, the probability that the person reaches home for the holidays is 0.94.
Note that (5π)/6 radians = 150°. Therefore the given angle is in quadrant 2.
Refer to the figure shown below.
Reference angles are measured relative to the horizontal axis.
Therefore the reference angle in each quadrant is π/6 radians or 30°.
Denote the reference angle as θ'.
Then, in quadrant 1,
cos θ' = √3/2, sin θ' = 1/2, tan θ' = √3.
Because we are in quadrant 2,
sin θ' = π/6;
sin(5π/6) is positive, but cos (5π/6) and tan (5π/6) are negative.
Answer:
5π/6 is in quadrant 2.
The reference angle, θ' = π/6.
sin(5π/6) is positive, cosine and tangent are negative.
Refer to the figure shown below.
Reference angles are measured relative to the horizontal axis.
Therefore the reference angle in each quadrant is π/6 radians or 30°.
Denote the reference angle as θ'.
Then, in quadrant 1,
cos θ' = √3/2, sin θ' = 1/2, tan θ' = √3.
Because we are in quadrant 2,
sin θ' = π/6;
sin(5π/6) is positive, but cos (5π/6) and tan (5π/6) are negative.
Answer:
5π/6 is in quadrant 2.
The reference angle, θ' = π/6.
sin(5π/6) is positive, cosine and tangent are negative.