The equation for exponential decay is given as y = a(1 - r)^x.
<u>Explanation:</u>
The formula for original exponential decay is y = ab^x.
The growth rate (r) is determined as b = 1 + r.
The decay rate (r) is determined as b = 1 - r.
y = ab^x (Where b = 1 - r)
y = a(1-r)^x
a represents the initial value
r represents growth or decay rate
x represents the number of time intervals that have passed.
<em>For example</em>
The population of Home Town is 2016 was estimated to be 35,000 people with an annual rate of increase of 2.4%.
The equation for decay factor y = 35000(1 - 0.024)^x
y = 35000(0.976). (where x = 1)
See picture for solution steps and answer.
Each scenario can be used to simulate probability, and there are 3 correct scenarios and 2 incorrect scenarios in the list of options
<h3>How to categorize the simulations?</h3>
From the question, we have the following parameters:
- Number of throws = 30
- Number of hits = 20
This means that the probability of hit is:
P(Hit) = 20/30
Simplify
P(Hit) = 2/3
Using the complement rule,
P(Miss) = 1/3
The above means that the simulation that represents the situation must have the following parameters:
- P(Success) = 2/3
- P(Failure) = 1/3
- Number of experiments = 3
Using the above highlights, the correct scenarios are:
- Rolling a die three times with numbers 1 to 4 representing a hit
- Spinner a spinner of 3 equal sections three times with two sections representing hit
- Spinner a spinner of 6 equal sections three times with four sections representing hit
Read more about probability at:
brainly.com/question/25870256
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Since y+8 is positive, you don't have to find the absolute value since the absolute value is y+8. all you have to do is find a number that makes the statement true for y. the symbol between next to the 3 asks for a number that is greater or equal to 3. So your answer would be
≥-5
The mean is the average of the data set. Median is the value that separates the higher half and the lower half of the set of values. Mode is the value that occurs often in the data set. Therefore, the correct answer is option A, <span>mean = 9.7, median = 10, mode = 15</span>
