Answer:
<h2>A.6% Is the correct answer... </h2>
<h3>#:Carry on Learning... ^_^</h3>
Answer:
=
412
feet
Step-by-step explanation:
The angle of depression is always measured from the horizontal.
A triangle is formed by the lighthouse, the ground and the boat. The angle of depression is not in the triangle, but it is equal to the angle of elevation at the boat. (Alternate angles on parallel lines)
The angle at the top of the lighthouse, inside the triangle is:
90°−27°
=63°
The distance to the boat is the side opposite the angle of
63°
while the height of the lighthouse is the adjacent side.
opposite
adjacent
=tan 63°
distance
210=tan 63°
distance=210×tan 63°=412 feet
Using the binomial distribution, it is found that there is a 0.125 = 12.5% probability of observing exactly 3 tails.
<h3>What is the binomial distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem, considering 3 tosses of a fair coin, the parameters are n = 3 and p = 0.5.
The probability of 3 tails is P(X = 3), hence:
0.125 = 12.5% probability of observing exactly 3 tails.
More can be learned about the binomial distribution at brainly.com/question/24863377
0.25 is the probability that you would select a score between 300 and 700. I used the empirical rule when i solved this.
I Believe it is 80% but I am not sure