a) The 10 members of the committee have to choose one president and two vice presidents (these have to be three different people). In how many ways can they choose these officers? (Note: here is no distinction between the two vice presidents; there is not a “first” VP and a “second” VP).

b) Three couples go to a movie theater. They sit in consecutive seats such that each couple is seating together, that is each person is seating next to his/her partner. If there are 6 seats available, in how many ways can they sit?

c) A university wants to assign a three digit number to each classroom of a new building. They can use the digits {1,2,3,4,5} but they cannot use any digit more than once. How many classroom numbers can they assign if the numbers have to be less than 250?

d) The University wants to select 4 students for a feedback survey. They want all four students from either Prof. X’s section or Prof. Y’s section. Prof. X has 40 students in his class and Prof. Y has 30 students in his class. How many selections are possible?

You are given the sample mean and the population standard deviation. Use this information to construct the​ 90% and​ 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. If​ convenient, use technology to construct the confidence intervals. A random sample of 40 home theater systems has a mean price of ​$129.00. Assume the population standard deviation is ​$16.60.

Interpret the results. Choose the correct answer below.

A. With​ 90% confidence, it can be said that the population mean price lies in the first interval. With​ 95% confidence, it can be said that the population mean price lies in the second interval. The​ 95% confidence interval is narrower than the​ 90%.

B. With​ 90% confidence, it can be said that the sample mean price lies in the first interval. With​ 95% confidence, it can be said that the sample mean price lies in the second interval. The​ 95% confidence interval is wider than the​ 90%.

C. With​ 90% confidence, it can be said that the population mean price lies in the first interval. With​ 95% confidence, it can be said that the population mean price lies in the second interval. The​ 95% confidence interval is wider than the​ 90%.

The values of Alabama building contracts (in millions of dollars) for a 12-month period follow:

240 350 230 260 280 320 220 310 240 310 240 230

a. Construct a time series plot. What type of pattern exists in the data?

b. Compare a three-month moving average forecast with an exponential smoothing forecast. Use alpha =0.2 Which provides the better forecasts based on MSE?

c. What is the forecast for the next month?

a)You have a galvanic cell set up like a Daniell cell but using a silver electrode in a silver nitrate solution and an iron electrode in an FeSO4 solution. Instead of a semipermeable membrane, you use a salt bridge. What is a salt bridge? Where is cathode and anode? What is the voltage under standard contitions? If the silver nitrate solution is 0.2 mmol/l and the FeSO4 solution is 3 mol/l, what is the voltage you measure? Compare to the previous result.

There are 5 alleles at the BXR008 locus. In a large sample from the population from which the suspects come, the frequencies of the alleles (starting from lowest to highest number of repeats) are;0.1,0.2,0.5,0.15,0.05; construct a table to calculate the matching probability and answer the following;

What is probability of the heterozygous genotype consisting of the least common allele for the BXR008 locus and the second most common.

The amounts a soft drink machine is designed to dispense for each drink are normally​ distributed, with a mean of 11.9

fluid ounces and a standard deviation of 0.2 fluid ounce. A drink is randomly selected.

​(a) Find the probability that the drink is less than 11.7 fluid ounces.

​(b) Find the probability that the drink is between 11.6 and 11.7 fluid ounces.

​(c) Find the probability that the drink is more than 12.3 fluid ounces.

Can this be considered an unusual​ event? Explain your reasoning.

After patient experienced Sinus Tachycardia:  State the rationale and expected outcomes for the medical plan of care.

Fentanyl IV infusion 10-125 mcg/hour. RASS goal -3 (Mod. Sedation)

Rationale:

Expected outcomes:

After patient experienced Sinus Tachycardia:  State the rationale and expected outcomes for the medical plan of care.

Dexmedetomidine IV infusion 0.2- 1 mcg/kg/hour. RASS goal -3 (Mod. Sedation)

Rationale:

Expected outcomes:

Let the random variable X follow a normal distribution with ?= 60 and sigma ?2= 81.

a. Find the probability that X is greater than 70.

b. Find the probability that X is greater than 45 and less than 71.

c. Find the probability that X is less than 65.

d. The probability is 0.2 that X is greater than what? number?

e. The probability is 0.03 that X is in the symmetric interval about the mean between which two? numbers?

A conducting bar is sliding to the right on two rails which are connect by a 15 LaTeX: \Omega resistor. The distance between the rails is L = 0.50 m. There is a uniform magnetic field with a magnitude of 0.80 T as shown in the figure. (a) Find the speed at which the bar must be moved to produce a current of 0.2 A in the resistor. Ignore the resistance in the rails and conducting bar. sa007-1.jpg (b) What is the direction of the induced magnetic field and induced current in the system? Explain reasoning.