Answer:
there is no collision between the particles
Step-by-step explanation:
for the first particle
x1=3sin t, y1 = 2 cos t, 0 ≤ t ≤ 2π
for the second particle
x2 = -3 + cos t, y2 = 1 + sin t, 0 ≤ t ≤ 2π
then for the collision
x1=x2 → 3*sin t = -3 + cos t → sin t= -1 + (cos t)/3→ 1+ sin t = (1/3)cos t
y1=y2 → 1 + sin t = 2 cos t → (1/3)cos t = 2 cos t →(1/3) = 2
since 1/3 ≠ 2 there is no collision between the particles
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:
50 is the initial value
Step-by-step explanation:
The equation is of the form
y = ab^x where a is the initial value and b is the growth/decay value
b>1 is growth and b<1 means decay
y = 50(1.6)^x
50 is the initial value and 1.6 means growth since it is greater than 1
1.6 -1 = .6 so it has a 60% growth rate