From a distance of 300 feet, a car approaches you at a speed of 48 feet per second. The distance d (in feet) of the car from you after t seconds can be described by the equation d=|300−48t|. At what moments does the car find itself 60 feet away from you?
Answer: The most significant angle created during his journey appears at the mall, between his house and the library.
Step-by-step explanation:
Hi, since this scenario forms a right triangle (refer to the attached image), the angle between his house and the library measures 90°.
For a right triangle, the total of its internal angles equals 180°, making the right angle (90°) the largest among them.
Thus, the angle at the mall, between his house and the library, is indeed the largest angle formed during his trip.
If you need further clarification or have questions, feel free to ask!
The expected value is calculated by subtracting the expected cost from the anticipated income.
The expected cost is fixed at $5.
The anticipated income arises from the probability associated with each outcome multiplied by its respective reward.
=> For the first prize: probability * prize = (1 / 100) * $ 100 = $1
=> For the second prize: probability * prize = (5 / 100) * $20 = $1
Thus, the expected value comes out to $1 + $1 - $5
This gives us an expected value of - $3
Final answer: - $ 3