1. A block of mass m₁ = 2kg is placed on a 30 degree incline. The block is attached to a string that passes over a pulley at the top of the incline. vertically from a string that passes over a pulley. A mass m₂ = 0.2kg is hanging from the other end of the string. If the coefficients of static and kinetic friction are u_s = 0.4 and u_k = 0.3,
   1. Will the system accelerate if it’s initially at rest? Justify your answer with physics!
   2. If it does accelerate, what is the acceleration? In which direction is this acceleration?
   3. What is the value of m₂ that will cause the system to be stationary if friction is negligble?

Let X denote the amount of space occupied by an article placed in a 1-ft3 packing container. The pdf of X is below. f(x) = 42x5(1 − x) 0 < x < 1 0 otherwise (a) Graph the pdf. WebAssign Plot WebAssign Plot WebAssign Plot WebAssign Plot Obtain the cdf of X. F(x) = 0 x < 0 Correct: Your answer is correct. 0 ≤ x ≤ 1 1 x > 1 Graph the cdf of X. WebAssign Plot WebAssign Plot WebAssign Plot WebAssign Plot (b) What is P(X ≤ 0.6) [i.e., F(0.6)]? (Round your answer to four decimal places.) 0.1586 Correct: Your answer is correct. (c) Using the cdf from (a), what is P(0.3 < X ≤ 0.6)? (Round your answer to four decimal places.) 0.1548 Correct: Your answer is correct. What is P(0.3 ≤ X ≤ 0.6)? (Round your answer to four decimal places.) (d) What is the 75th percentile of the distribution? (Round your answer to four decimal places.) 0.1063 Incorrect: Your answer is incorrect. (e) Compute E(X) and σX. (Round your answers to four decimal places.) E(X) = σX = (f) What is the probability that X is more than 1 standard deviation from its mean value? (Round your answer to four decimal places.)

1. Demand data for thirty days have been provided, along with computed weighted moving average forecasts for days six to thirty, using weights of 0.5, 0.3, 0.1, 0.05, and 0.05, with the largest weight on most recent demand. Please compute the Mean Suared Error (MSE) for the 25 forecasts, and then use SOLVER to find the five weights that will minimize the MSE. Note that your weights must sum to one, and it is OK for some of the weights to be zero.

Report your new (optimized) value for the MSE, to two decimals.

1. Philly Sandwiches Inc. has determined the following estimated production volumes for the 7” and 14” Philly cheese steak submarine.

             Production Volumes:

7”   Philly cheese steak submarine = 20,000 units

14” Philly cheese steak submarine = 25,000 units

                               There are three direct materials to be used to produce both submarines. The

                             quantities are as follow:

In addition, the company had the following information about the materials:

1. How many pounds of cheese, steak and onions, the company must buy? (5 points)
2. How much the company will spend (total) to buy all materials it needs? (5 points)
3. If the company had budgeted to spend $65,000 to buy steak and onions, how much it is over (under) budget?                                                                  (5 points)                                                                                
4. If the conversion cost to produce a 7” submarine is $0.65 per unit, how much is the total cost per unit to produce a 7” submarine?                                     (5 points)

Napoleon is contemplating four institutions of higher learning as options for a Master’s in Business Administration. Each university has strong and weak points and the demand for MBA graduates is uncertain. The availability of jobs, student loans, and financial support will have a significant impact on Napoleon’s ultimate decision. Vanderbilt and Seattle University have comparatively high tuition, which would necessitate Napoleon take out student loans resulting in possibly substantial student loan debt. In a tight market, degrees with that cachet might spell the difference between a hefty paycheck and a piddling unemployment check. Northeastern State University and Texas Tech University hold the advantage of comparatively low tuition but a more regional appeal in a tight job market. Napoleon gathers his advisory council of Jim and Pedro to assist with the decision. Together they forecast three possible scenarios for the job market and institutional success and predict annual cash flows associated with an MBA from each institution. All cash flows in the table are in thousands of dollars.

Suppose that the likelihood for each of scenarios 1 through 3 is 0.3, 0.4, and 0.3, respectively. What is the optimal decision under the EVM criterion?

Consider the following information regarding the performance of a money manager in a recent month. The table represents the actual return of each sector of the manager’s portfolio in column 1, the fraction of the portfolio allocated to each sector in column 2, the benchmark or neutral sector allocations in column 3, and the returns of sector indices in column 4.

a-1. What was the manager’s return in the month? (Do not round intermediate calculations. Input all amounts as positive values. Round your answer to 2 decimal places.)

a-2. What was her overperformance or underperformance? (Do not round intermediate calculations. Input all amounts as positive values. Round your answer to 2 decimal places.)

b. What was the contribution of security selection to relative performance? (Do not round intermediate calculations. Round your answer to 2 decimal places. Negative amount should be indicated by a minus sign.)

c. What was the contribution of asset allocation to relative performance? (Do not round intermediate calculations. Round your answer to 2 decimal places. Negative amount should be indicated by a minus sign.)

This is an assignment for python.

Download the code “

GradeBook.py

”

You will be modifying the code to do the following:

1)

create an empty dictionary named “FinalAverages”

2) In one for loop you will zip all lists together and get their individual members on each iteration. You can name

these what ever you want.

3) on each iteration: Calculate the WEIGHTED average using the weights provided, and then add a new dictionary

value to the dictionary “

FinalAverages

”. The KEY for this dictionary will be the name on this iteration, and the

VALUE will be the average of the student.

4)

Print

the whole

dictionary,

and

then

print

ONLY ”Jack”

5) BONUS: if you create a function that takes an input of the 4 lists, and an output of the appropriate dictionary:

adding 1 point. Your code must then use this function to create the appropriate dictionary, apply the weights

(Store them in that function), and then output the

values you got.

Gradebook.py is:

Students = ['Bill', 'Sue', 'Janet', 'Cindy', 'Ray', 'Jack', 'Barbra', 'Matt', 'Joey', 'Adam', 'Becky', 'Mona']
Exam1 = [100, 80, 26, 45, 89, 65, 92, 75, 76, 15, 80, 50]
Exam2 = [88, 95, 55, 60, 81, 25, 70, 100, 95, 70, 72, 10]
Exam3 = [65, 92, 100, 80, 26, 92, 55, 60, 80, 55, 60, 75]
scaleExamOne = 0.3
scaleExamTwo = 0.3
scaleExamThree = 0.4

An earth station transmits at 5.62 GHz from an antenna of 6 m. The transmitter generates an output of 8 kW. The satellite is 39920 km from the earth station. The efficiency of the transmitting antenna being 0.7. Calculate a. Path loss ; b. Transmitting antenna gain;. c. EIRP;. d. Received power at satellite;. e. Improvement in a received power if the satellite uses parabolic dish of 2.5 m. (3 Mark) f. Considering your calculated results in other parts of this question, suggest, as a designer, how you could reduce the transmitter power while maintaining the same level of received power.

(i) A 5-year bond with face value $1,000 (paid at maturity) and coupon rate 5% (coupon paid in arrears annually) has yield-to-maturity 4.5%. What is the convexity of the bond?

(ii)Assume that stock returns follow a 2-factor structure. The risk-free return is 3%. Portfolio A has average return 8% and factor-betas 0.7 and 0.9 (for factor 1 and 2, respectively). Portfolio B has average return 10% and factorbetas 1.2 and 1.1 (for factor 1 and 2, respectively). What is the average return for portfolio C that has factor-betas 1 and 1 (for factor 1 and 2, respectively)?

A mass m₁ = 4.4 kg rests on a frictionless table and connected by a massless string over a massless pulley to another mass m₂ = 3.8 kg which hangs freely from the string. When released, the hanging mass falls a distance d = 0.7 m.

1)How much work is done by gravity on the two block system?

2)How much work is done by the normal force on m₁?

3)What is the final speed of the two blocks?

4)How much work is done by tension on m₁?

5)What is the tension in the string as the block falls?

7)What is the NET work done on m₂?