Description
info in document below but here is a quick summary since the minimum characters is 100
- Write and use systems of linear equations to solve problems
- Solve systems of linear equations using graphs, tables of values, substitution, elimination, and matrices
- Use linear programming to solve real-world problems such as ones concerned with maximizing profit or minimizing cost
- Solve systems of linear inequalities by graphing, including absolute value inequalities
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Name
Class
Date
Algebra 2A Sample Work – Unit 4: Linear Systems
Chapter 6
Lesson 3-1. Determine whether
1.
2x 3y
6x 9 y
8
24
each system is independent, dependent, or inconsistent.
2.
x 3y 7
y
3x 7
3.
Lesson 3-2. Solve each system of equations.
4.
x
x
y
y
5
3
Lesson 3-3. Solve by graphing.
6.
y
y
x 3
3x 7
5.
y 3x 1
2 x y 14
3x 4 y 12
y 34 x 4
Lesson 3-4. Solve.
7.
A lunch stand makes $.75 in profit on each chef’s salad and $1.20 in profit on each Caesar salad. On a typical
weekday, it sells between 40 and 60 chef’s salads and between 35 and 50 Caesar salads. The total number sold
has never exceeded 100 salads. How many of each type of salad should be prepared to maximize profit?
Lesson 3-5 and 3-6. Solve
8.
x y z
x 2 y 3z
x 4 y 2z
4
3
15
using the method of your choice.
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Explanation & Answer
I am sorry, i did not capture the graphs on the word document.
1.
2x 3y 8
6x 9 y 24
The equation is dependent since when the second equation is simplified, you get the first equation.
2.
x 3y ...
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The formula for calculating a 95% confidence interval for a population mean is:
The general “Confidence Interval” formula is:
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Hint: The PowerPoint Guides has great examples to learn from before creating your own unique and original example.
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Review all student work for calculating a confidence interval for a sample proportion. Redo their work and confirm that it is correct, or correct it and note the errors. What is the final margin of error E? What is the final confidence interval? Offer an example sample proportion that would fit into the confidence interval. Offer an example sample proportion that would be outside of the confidence interval.
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The formula for calculating a 95% confidence interval for a population mean is:
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The formula for calculating a 95% confidence interval for a population mean is:
The general “Confidence Interval” formula is:
sample mean – E < population mean < sample mean + E
To calculate a confidence interval, the margin of error (E) must first be calculated.
The Margin of Error, E, for means is: E = 1.96*s/sqrt(n), where s is the sample standard deviation, n is the sample size. The “sqrt” stands for square root.
The Margin of Error, E, for proportions is: E = 1.96*sqrt[p*(1-p)/n], where s is the sample standard deviation, n is the sample size, and p is the proportion.
Use the Confidence Interval formula above, and the correct formula for E, to and calculate the 95% confidence interval for any population mean of your choice. Write down (invent) the sample size (be sure it is 30 or above), the sample mean, and the sample standard deviation. Then, calculate the confidence interval. Remember, you are inventing all the values, so no two posts should look the same.
Use the Confidence Interval formula above, and the correct formula for E, to and calculate the 95% confidence interval for any population proportion of your choice. Write down (invent) the sample size (be sure it is 30 or above) and the sample proportion. Then, calculate the confidence interval. Remember, you are inventing all the values, so no two posts should look the same.
Hint: The PowerPoint Guides has great examples to learn from before creating your own unique and original example.
Please create personalized and substantive responses to at least two other student main posts. In your response, include the following:
Choose any two classmates and review their main posts.
Review all student work for calculating a confidence interval for a sample mean. Redo their work and confirm that it is correct, or correct it and note the errors. What is the final margin of error E? What is the final confidence interval? Offer an example sample mean that would fit into the confidence interval. Offer an example sample mean that would be outside of the confidence interval.
Review all student work for calculating a confidence interval for a sample proportion. Redo their work and confirm that it is correct, or correct it and note the errors. What is the final margin of error E? What is the final confidence interval? Offer an example sample proportion that would fit into the confidence interval. Offer an example sample proportion that would be outside of the confidence interval.
TEXTBOOKS
Bennett, J., Briggs, W.L. & Triola, M.F. (2013) Statistical Reasoning for Everyday Life (4th ed.). Upper Saddle, NJ: Pearson.
7 pages
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Summary Report.edited With Reference
Hypothesis tests and confidence interval tests were carried out to test the speculations that the Mean sales per week exceed 42.5 per salesperson, the ...
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Topic: Is this Normal?One theory about the daily changes in the closing price of a stock is that these changes follow a ra ...
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