Calculate that volumes of each stock solution you will need to assemble the following cysteine-detection reaction: 30 mM TEA, 15 mM DTNB, 75 µM cysteine in a 0.8 mL total volume. Stock concentrations are 0.5M TEA, 100 mM DTNB, and 1 mM cysteine. Don’t forget to include the volume of water you will need to reach the final total volume.

1. In a random sample, 10 employees at a local plant were asked to compute the distance they travel to work to the nearest tenth of a mile. The data is listed below.

1.1 5.2 3.6 5.0 4.8 1.8 2.2 5.2 1.5 0.8

a) Calculate the mean, median and the mode of the data.

b) Based on these numbers, what is the shape of the distribution?

c) Compute the range, standard deviation and variance of the data.

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.