A coin is placed on a flat turntable, a distance 18.6 cm from the center of rotation. The coefficient of static friction between the turntable and the coin is 0.8. At what maximum angular speed may the turntable be rotating before the force of friction is not able to keep the coin at the same distance from the axis? Hint: if you think a critical piece of information is missing, assign it a letter, and see if it cancels in the end.

A figure skater presses off the ice to begin spinning with her arms close to her body. After completing 2 turns in 0.8 seconds she moves her arms further away from her body, what will her new angular velocity be?
       
a. <16.6 rad/s
       
B. 18 rad/s
       
C. 20 rad/s
       
D. 24 rad/s

A 3 phase 50Hz overhead line has the following constants: R/phase=2ohms; Xl/phase=10ohms and Y/phase=4x10^-4 siemens. The line is supplying a balanced load of 24000 KVA, 0.8 pf lagging at 66KV. Compute for the sending end voltage, sending end current and efficiency of the line using:

a.Nominal T Method

b.Nominal pi Method

c.Rigorous Method

A certain group of symptom-free women between the ages of 40 and 50 are randomly selected to participate in mammography screening. The incidence rate of breast cancer among such women is 0.8%. The false negative rate for the mammogram is 10%. The false positive rate is 7%. If a the mammogram results for a particular woman are positive (indicating that she has breast cancer), what is the probability that she actually has breast cancer?

1.         Let’s look at Canada.  Assume an equilibrium where Aggregate Expenditure is $1,350 billion and Real GDP in $1,350 billion.  (a)  If Real GDP grew to 1,600, but AE only grew to 1,550 what is the marginal propensity to consume?  0.8

(b)  From the initial state of $1,350, what change in taxes (positive or negative and actual numeric value) would bring GDP to $1,200 billion?  

If x is a binomial random variable, compute the mean, the standard deviation, and the variance for each of the following cases:

(a)  n=3,p=0.9
μ=
σ^2=
σ=

(b)  n=6,p=0.1
μ=
σ^2=
σ=

(c)  n=4,p=0.6
μ=
σ^2=
σ=

(d)  n=5,p=0.8
μ=
σ^2=
σ=

Consider an economy where a one-factor APT holds. All portfolios are well diversified. Portfolio A has an expected return of 10% and its factor beta is 1. Portfolio F has an expected return of 8% and its factor beta is 0.6. Suppose another portfolio E is well diversified with a beta of 0.8 and an expected return of 10%. Does an arbitrage opportunity exist in this case?

C# Create an application that asks the user to enter their new password. The password must be at least 6 characters long. Develop a custom exception handling case that checks for the password length. (hint: use " .Length " built-in method). If the new password is less than 6 characters long the custom exception should output an error message.

1. What are some actions a firm can take to shorten its cash conversion cycle?

2. What are some costs associated with high inventories? With low inventories?

3. What is a “supply chain” and how are supply chains related to just-in-time inventory procedures?

4. Explain how a new firm’s receivables balance is built up over time.

Program that does conversions (i.e. decimal to hexadecimal, binary to decimal) but needs to have a drop down menu to give you the option to choose with conversion you want to go from and convert into (JOptionPane). Cannot use the conversion tool that is built-in Java. Need to use equations or some sort. Please include comments on what is happening to understand.