9. Simplify the expression: 4a + 8 - 2a – 4 + 7b.
1 answer:
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The linear equation in slope intercept form for population of Jose's town is y = 320x + 2400.
<u>Solution:</u>
Given, the population of Jose's town in 1995 was 2400 and the population in 2000 was 4000,
Let x represent the number of years since 1995.
We have to write a linear equation, in slope- intercept form, that represents this data.
Now, let the change in population per year be p.
Then, population in a year = population change per year number of years + population in 1995.
⇒population in a year = p x + population in 1995
⇒ population in a year = p x + 2400
Here we have an case that, population in 2000 is 4000
Then, number of years since 1995 = 5
So, 4000 = p 5 + 2400 ⇒ 5p = 4000 – 2400 ⇒ 5p = 1600 ⇒ p = 320
Then, our equation will be population in a year = 320x + 2400
Considering the population in a year as y ⇒ y = 320x + 2400.
Hence, the linear equation in slope intercept form is y = 320x + 2400.
Answer:
Using a formula, the standard error is: 0.052
Using bootstrap, the standard error is: 0.050
Comparison:
The calculated standard error using the formula is greater than the standard error using bootstrap
Step-by-step explanation:
Given
Sample A Sample B
Solving (a): Standard error using formula
First, calculate the proportion of A
The proportion of B
The standard error is:
Solving (a): Standard error using bootstrapping.
Following the below steps.
- Open Statkey
- Under Randomization Hypothesis Tests, select Test for Difference in Proportions
- Click on Edit data, enter the appropriate data
- Click on ok to generate samples
- Click on Generate 1000 samples ---- <em>see attachment for the generated data</em>
From the randomization sample, we have:
Sample A Sample B
So, we have:
