Quadratics Unit Test – Download, complete and upload.

Q:1)Explain the four-steps for solving quadratic equations. Can any of these steps be eliminated? Can the order of these steps be changed? Would you add any steps to make it easier, or to make it easier to understand?

Q:2) Explain the five-steps for solving rational equations. Can any of these steps be eliminated? Can the order of these steps be changed? Would you add any steps to make it easier, or to make it easier to understand?

Wanda has 75 coins. Some of them are quarters and the rest are dimes. The total amount is $12.90. How many of each type of coin does she have?

Must be:

Revieved on or before the dealine

At Graduate Level

Must pass Turnit in

See attachment for Quantitative analysis assignment. Make sure they provide all excel functions that are called out for in the problems, use equation editor in word and read all directions in the word document. On problem 4 it says “give LP model” that stands for Linear Programming Model.

Notes: All work should be done individually.Word-process your solutions within this template and show all steps used in arriving at the final answers. Incomplete solutions will receive partial credit. Copy and paste all necessary data from Excel into this document and create tables as needed.

Problem 1

Throughout the 1990 s the average household expenditure on scratch tickets in a state has been $5. In 2010, a sample of 7 households was selected at random and the following expenditures for a given week were reported:

$3, $2, $4, $3, $5, $4, $7

(a) What is the sample mean expenditure for scratch tickets?

(b) What is the sample standard deviation for the sample results?

(c) What are the null and alternate hypotheses if we wished to test the hypothesis that the average expenditure on scratch tickets has decreased in the 21^st century?

(d) What is the critical score which will determine your conclusion?

(e) What is the computed score found from the sample data and what is your conclusion based on these results?

Problem 2

A store wishes to predict net profit as a function of sales for the next year. The following table gives the years 1998 to 2005.

(a) Graph the points from 1998 through 2005 on a scatter diagram using Sales as the independent variable and Net Profit as the dependent variable.

(b) Draw the regression line on the graph you constructed in Part (a).

(c) What is the value of the coefficient of determination for this regression model? Comment on the strength of the regression line for this model.

(d) What is the predicted net profit for 2006 if sales are expected to be 75?

Problem 3

The following table shows the last six years average new weekly unemployment insurance claims.

(a) Forecast the new weekly unemployment insurance claims for all years from 2007 to 2010. Use a three-year weighted moving average with weights of 0.6, 0.3, and 0.1. Use the largest weight with the most recent data.

(b) Forecast the new weekly unemployment insurance claims using exponential smoothing with alpha = 0.6 for all years from 2005 to 2010. Use the rate for 2004 as the starting forecast for 2004.

(c) Which of the methods in parts (a) and (b) produces better forecasts for the three years from 2007 to 2009? Answer on the basis of mean square error (MSE).

Problem 4

A financial services firm is opening a branch and they need to make staffing decisions. Administrative assistants are worth $100 in weekly profit, but they require $100 from the technology budget and 50 ft² of office space. Attorneys bring in $2000 a week in profit, while using $100 from the technology budget and 400 ft² of office space. Analysts are worth $500 a week in profit and use $1000 from the technology budget and 100 ft² of office space. Finally, the traders are worth $1500 a week in profit, but require $200 from the technology budget and 400 ft² of space. The office needs to have at least 4 administrative assistants and 10 analysts. There are only 4 attorneys available for the new office, and you can bring at most 50 people to the new branch. The technology budget is $20,000 per week, and the new office has 12,000 ft² of space available. Give the LP Model and Excel Solver to find the optimal solution.

Problem 5

A company purchases its merchandise for $10 and sells for each item for $20. The pay-off table for the problem is given below.

What is the decision based on each of the following criteria?

(a) EMV approach

(b) EOL approach

write a quadratic function in standard form for the parabola that passes through points (-2,11) (0,3) (1,2)

what is the length of arc BC when the circumference is 25.13,a angle of 134 degrees and a radius of 4 cm

1) 2A +B C +3D – What is the mole ratio of A to D? A 3:2 B 2:3 C 1:3 D 2:2

2) 3A +2B C +2D – What is the mole ratio of C to A?

A 3:2 B 2:3 C 1:3 D 2:2

3) 2A +2B 3C +3D – What is the mole ratio of B to A?

A 3:2 B 2:3 C 1:3 D 2:2

4) 1A +2B 3 C +4D – What is the mole ratio of C to B?

A 3:2 B 2:3 C 1:3 D 2:2

1) calculate the freezing point of a solution that contains 4.89g of glucose, a non electrolyte, dissolved in 111 g of water

2) If 5.31 g of ethylene glycol are added to 103.4g of water , what is the freezing point of the solution ( answer should be negative)

Write a rule to find the vortex coordinates of a parallelogram PQRS that is larger but similar to ABCD

At 1 atm how much energy is required to heat 79.0 grams of water at -10.0 degrees Celsius to water at 175 degrees degrees Celsius