A weight is hung from a spring and set in motion so that it moves up and down continuously. The velocity v of the weight at any
1 answer:
Answer:
0.25s
Step-by-step explanation:
As v = 1.5 cos(4πt), v is maximum when cos(4πt) is maximum = 1. So the maximum velocity would be 1.5 m/s
Both the lowest and highest position occurs when its derivative is 0, aka v = 0 and has a change of direction
1.5 cos(4πt) = 0
cos(4πt) = 0
4πt = π/2 and 4πt = 3π/2
t = 1/8 = 0.125s and t = 3/8 = 0.375s
So the time it takes to travels from 1 point of time (0.125s) to another point of time (0.375) is
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Using the Poisson distribution, there is a 0.8335 = 83.35% probability that 2 or fewer will be stolen.
<h3>What is the Poisson distribution?</h3>In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
The parameters are:
- x is the number of successes
- e = 2.71828 is the Euler number
is the mean in the given interval.
The probability that a rental car will be stolen is 0.0004, hence, for 3500 cars, the mean is:
The probability that 2 or fewer cars will be stolen is:
In which:
Then:
0.8335 = 83.35% probability that 2 or fewer will be stolen.
More can be learned about the Poisson distribution at brainly.com/question/13971530
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Answer:
a₆ = 13x + 31
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
Here a₁ = 3x + 1 and d = 2x + 6 , then
a₆ = 3x + 1 + 5(2x + 6)
= 3x + 1 + 10x + 30
= 13x + 31