HELP!!!!!!!! Explain how to determine if a function is exponential growth or exponential decay? Give and example of each.
1 answer:
<h2>Answer:</h2>
<h2>Step-by-step explanation:</h2>
<u>Formula is given in the picture</u>
<h2>Step-by-step explanation:</h2>
For the exponential growth we have the formula
Exponential functions are in the form
y = ab^ x
If a is positive and b is greater than 1, then it is exponential growth. If a is positive and b is less than 1 but greater than 0, then it is exponential decay.
For Example
2 months ago you had 3 mice, you now have 18 shows and exponential growth
And
Atmospheric pressure (the pressure of air around you) decreases as you go higher shows exponential decay.
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Answer:
If the observed sample mean is greater than 17.07 minutes, then we would reject the null hypothesis.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 15 minutes
Sample size, n = 10
Alpha, α = 0.05
Population standard deviation, σ = 4 minutes
First, we design the null and the alternate hypothesis
Since the population standard deviation is given, we use one-tailed z test to perform this hypothesis.
Formula:
Now,
Thus, we would reject the null hypothesis if the z-statistic is greater than this critical value.
Thus, we can write:
Thus, the decision rule would be if the observed sample mean is greater than 17.07 minutes, then we would reject the null hypothesis.