What is 547 divided by 8 work it out
1 answer:
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Answer:
1. The equation represent an exponential decay
2. The rate of the exponential decay is -3×2.5ˣ·㏑(2.5)
Step-by-step explanation:
When a function a(t) = a₀(1 + r)ˣ has exponential growth, the logarithm of x grows with time such that;
log a(t) = log(a₀) + x·log(1 + r)
Hence in the equation -3 ≡ a₀, (1 + r) ≡ 2.5 and y ≡ a(t). Plugging in the values in the above equation for the condition of an exponential growth, we have;
log y = log(-3) + x·log(2.5)
Therefore, since log(-3) is complex, the equation does not represent an exponential growth hence the equation represents an exponential decay.
The rate of the exponential decay is given by the following equation;
Hence the rate of exponential decay is -3×2.5ˣ × ㏑(2.5)
The probability that the John either hits a Bull’s eye or scores 10 points in the game of darts is 2/5.
<h3>What is probability?</h3>Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event. The probability of an event can not be more than the number 1.
John is playing a game of darts. In this game of dart,
- The probability that he throws a dart into the center of the dart board (the Bull’s eye) is 1/10.
- The probability that he throws the dart into the 10-point ring is 3/10.
The probability that he either hits a Bull’s eye or scores 10 points is equal to the sum of the probability he hits the bull's eye and the probability that he throws the dart into the 10-points ring.
Let, the probability that he either hits a Bull’s eye or scores 10 points is P. Thus,
Hence, the probability that the John either hits a Bull’s eye or scores 10 points in the game of darts is 2/5.
Learn more about the probability here;