A navigator on a boat measures the angle between the course of the boat and the lighthouse on shore to be 70 degrees. After the
boat has traveled 3000 m, the navigator measure the angle to be 100 degrees. How far, to the nearest metre, was the boat from the lighthouse at the time of the first sighting?
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Answer:
The number of minutes advertisement should use is found.
x ≅ 12 mins
Step-by-step explanation:
(MISSING PART OF THE QUESTION: AVERAGE WAITING TIME = 2.5 MINUTES)
<h3 /><h3>Step 1</h3>For such problems, we can use probability density function, in which probability is found out by taking integral of a function across an interval.
Probability Density Function is given by:
Consider the second function:
Where Average waiting time = μ = 2.5
The function f(t) becomes
The manager wants to give free hamburgers to only 1% of her costumers, which means that probability of a costumer getting a free hamburger is 0.01
The probability that a costumer has to wait for more than x minutes is:
which is equal to 0.01
<h3>Step 3</h3>Solve the equation for x
Take natural log on both sides
The costumer has to wait x = 11.53 mins ≅ 12 mins to get a free hamburger