Simplify :(a+b)²Thanks
2 answers:
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Answer: B. Jonesville is growing linearly and Smithville is growing exponentially.
Step-by-step explanation:
Linear growth :
- Population grow by a constant amount after each time period.
- The rate of change of dependent variable with respect to independent variable is a constant.
- It is represented by line on graph.
- Equation for linear growth :
, c = initial value and m is the rate of change of y with respect to x.
Exponential growth :
- Population grow by a constant ratio .
- It is represented by a curve on graph.
- Equation for exponential growth :
, a = initial value and r is rate of growth ( in decimal ) and x is time period.
Given : Jonesville's population grows by 170 people per year.
i.e .Population grow by a constant amount per year.
⇒ Jonesville is growing linearly.
The population of smithville grows by 7% per year.
i.e. Population grow by a constant ratio.
⇒Smithville is growing exponentially.
Hence, the true statement is "B. Jonesville is growing linearly and Smithville is growing exponentially."
Answer:
We conclude that the residents of Wilmington, Delaware, have higher income than the national average
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = $44,500
Sample mean, = $52,500
Sample size, n = 16
Alpha, α = 0.05
Sample standard deviation, s = $9,500
a) First, we design the null and the alternate hypothesis
We use one-tailed(right) t test to perform this hypothesis.
c) Formula:
Putting all the values, we have
b) Rejection rule
If the calculated t-statistic is greater than the t-critical value, we fail to accept the null hypothesis and reject it.
Now,
Since,
We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. We conclude that the residents of Wilmington, Delaware, have higher income than the national average