I'll sub my guy. Don't give up, keep climbing.
Rewriting the left-hand side as follows,

Answer: 0.0187
Step-by-step explanation:
The binomial distribution formula for probability :-
, where P(x) is the probability of getting success in x trials , n is the total number of trials and p is the probability of getting success in each trial.
Given : The probability that the physics majors belong to ethnic minorities =0.33
Number of students selected : n= 8
Now, the probability that more than 5 belong to an ethnic minority :-

Hence, the probability that more than 5 belong to an ethnic minority = 0.0187
The horizontal distance between light house and boat is 1588.78 feet approximately.
The figure is given by,
Here, AB = height of the lighthouse bacon light above the water = 139 feet
Now angle ACB = 5 degree
Let the horizontal distance of light house from the boat = BC = x feet
So by trigonometric function we get,
tan 5 = AB/BC
tan 5 = 139/x
x = 139/tan 5 = 1588.78 (approximately)
Hence the horizontal distance between light house and boat is 1588.78 feet approximately.
To know more about Trigonometric Function refer to:
brainly.com/question/1143565
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I like the cat on your pfp LOL sorry i couldn’t help tho