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The Guidance Counselor of your school claims that the Grade 11 students spend an average of 11.28 hours in a week doing performance tasks with standard deviation of 1.64. Your adviser thinks that students spend more time in doing performance tasks, so he decided to conduct his own research. He used a sample of 46 Grade 11 students and obtained a mean of 11.83. Is there enough evidence at 0.05 level of significance that the students spend 11.28 hours in a week doing performance tasks?

Write a program that calculates the take-home pay for an employee. The two types of employees are salaried and hourly. Allow the user to input the employee first and last name, id, and type. If an employee is salaried, allow the user to input the salary amount. If an employee is hourly, allow the user to input the hourly rate and the number of hours clocked for the week. For hourly employees, overtime is paid for hours over 40 at a rate of 1.5 of the base rate. For all employees’ take home pay, federal tax of 18% is deducted. A retirement contribution of 10% and a Social Security tax rate of 6% should also be deducted. Use appropriate constants. Design an object-oriented solution. Create a second class to test your design.



1.Find ∫cos^2 (2x)sin x dx


2.Find ∫(b − ax)e^4x dx . Give your answer in factor form.


Sketch a normal curve that has a mean of 60 and a standard deviation of 12. On the same x-axis, sketch another normal curve that has a mean of 90 and a standard deviation of 6. Describe the two normal curves.


Random samples of size 3 are taken from a population of the numbers 3, 4, 5, 6, 7, 8, and 9.

1. How many samples are possible? 



2. Construct the sampling distribution of the sample means. 


The market for good A is in equilibrium. Then the price of a substitute good decreases and, simultaneously, the price of an input used to make good A increases. The equilibrium price of good A will



a.



either increase, decrease, or stay the same, and the equilibrium quantity of good A will increase.



b.



either increase, decrease, or stay the same, and the equilibrium quantity of good A will decrease.



c.



increase and the equilibrium quantity of good A will either increase, decrease, or stay the same.



d.



decrease and the equilibrium quantity of good A will either increase, decrease, or stay the same.




A college offers a course that prepares students for the state licensing exam for real estate brokers. Last year, ten of the students who completed this course took the exam. The college wants to know how well its students did on the exam. You have been asked to write a program to summarize the results. You have been given a list of these 10 students. Next to each name is written a 1 if the student passed the exam or a 2 if the student failed. Your program should analyze the results of the exam as follows: Input each test result (i.e., a 1 or a 2). Display the prompting message "Enter result" each time the program requests another test result. Count the number of test results of each type. Display a summary of the test results indicating the number of students who passed and the number who failed. If more than eight students passed the exam, print the message "Raise tuition."


Write a C++ program to find the table of numbers using a while loop. Your program should ask the size of the table. That size defines the rows and columns.


The titration of a 10.0ml sample of vinegar requires 30.0ml of 0.20 M NaOH solution. Calculate



i. The molarity


ii. The mass /mass percent concentration of acetic acid.


Given that the density of acetic acid is 1.01g/cm3


Explain how overloading a unary operator is almost similar to overloading a binary operator with necessary examples and include main() function to demonstrate. Mention the differences between these two in terms of number of operands they deal with.

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