A 4.0 ? diameter merry-go-round (mass 270 ??) is spinning at 15 ???. A child of 35.0 ?? runs tangent to the merry-go-round at 3.0 ?/?, in the same direction that it is turning, and jumps onto the outer edge. Calculate the merry-go-round’s angular velocity, immediately after the child jumps on.

The morley dataset can be seen as a randomized block experiment with Run as the treatment factor and Expt as the blocking factor. Is there a difference between runs and what efficiency is gained by blocking?

Please solve using R. morley is a dataset in R. To access this dataset use:

library(faraway)

attach(morely)

A 1200-kg car is travelling east at a rate of 9 m/s. A 1600-kg truck is travelling south at a rate of 13 m/s. The truck accidentally runs a stop sign and collides with the car in a completely inelastic collision. What is the speed of the combined mass after the collision?

494: Which of the following is NOT true in regards to blocking?

A. A block is a dummy factor which doesn’t interact with real factors

B. A blocking factor has 2 levels

C. A block is a subdivision of the experiment

D. Blocks are used to compensate when production processes restrict randomization of runs

A Stirling Engine uses 8.1 x 10^-3 mol of an ideal gas, operates between hot and cold heat reservoirs of temperatures 95 degree celsius and 24 degree celsius, and runs at a rate of 0.7 cps. Q) What is the net transfer into the gas during in cycle?

Manager T. C. Downs of Plum Engines, a producer of lawn mowers and leaf blowers, must develop an aggregate plan given the forecast for engine demand shown in the table. The department has a regular output capacity of 140 engines per month. Regular output has a cost of $65 per engine. The beginning inventory is zero engines. Overtime has a cost of $115 per engine.

Month 1 2 3 4 5 6 7 8

Total Forecast 130 135 130 143 130 135 135 134 1,072

b. Compare the costs to a level plan that uses inventory to absorb fluctuations. Inventory carrying cost is $3 per engine per month. Backlog cost is $135 per engine per month. There should not be a backlog in the last month. Set regular production equal to the monthly average of total forecasted demand. Assume that using overtime is not an option. (Negative amounts should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Round average inventory row, Inventory cost row, and Total row values to 1 decimal.)

The table below represents the number of young people in a certain city enrolled in the academic support and enrichment program of youth services. Here, x represents the number of months from January 2011, and y represents the number of young people enrolled. Use Excel to find the best fit linear regression equation. Round the slope and intercept to two decimal places.

x   y
0   3199
1   3282
2   3432
3   3245
4   3076
5   3485
6   1524
7   1880
8   2715
9   2963
10   2917
11   3064
12   2730
13   3002
14   3115
15   3148
16   3372
17   3070
18   1813
19   1820
20   2720
21   3297
22   3157
23   2932
24   2839
25   2738
26   2721
27   2999
28   807
29   221
30   1537
31   1922
32   2532
33   3070
34   3091
35   2965
36   2956
37   3116
38   3294
39   3271
40   3211
41   3383
42   2243
43   2035
44   2625
45   2970
46   3046
47   2785
48   2650
49   1121
50   204
51   2796
52   2692
53   2830
54   2068
55   1802
56   2181
57   2675
58   2625
59   2632
60   2354
61   2501
62   2476
63   2458
64   2391
65   2375

Periodic inventory by three methods; cost of goods sold

The units of an item available for sale during the year were as follows:

There are 60 units of the item in the physical inventory at December 31. The periodic inventory system is used.

Determine the ending inventory cost and the cost of goods sold by three methods. Round interim calculations to one decimal and final answers to the nearest whole dollar.

Expected Return and Standard Deviation / This problem will give you some practice calculating measures of prospective portfolio performance. There are two assets and three states of the economy

Expected Returns :

Stock A = (.20 * -.15) + (0.50 * .20) + (.30 * .60) = .25

Stock B = (.20 * .20) + (.50 * .30) + (.30 * .40) = .31

Standard Deviation :

Stock A = .20 * (-.15 - .25)^2 + .50 * (.20 - .25)^2 + .30 * (.60 - .25)^2 = 0.07

√0.07 = .2646, 26.46%

Stock B = .20 * (.20 - .31)^2 + .50 * (.30 - .31)^2 + .30 * (.40 - .31)^2 = 0.0049

√0.0049 = .07, 7%

Portfolio Risk and Return / Using the information in the precious problem, suppose you have $20,000 total. If you put $15,000 in Stock A and the remainder in Stock B. what will be the expected return and standard deviation of your portfolio?

**** In C++ ****Exercise #3: Design and implement a program (name it ArrayMethods), that defines 4 methods as follows: int arrayMax(int[] arr) returns the maximum value in the an array int arrayMin(int[] arr) returns the minimum value in an array void arraySquared(int[] arr) changes every value in the array to its square (value²) void arrayReverse(int[] arr) reverses the array (for example: array storing 7 8 9 becomes 9 8 7 ) The program main method creates a single-dimensional array of length 5 elements and initialize it with random integers between 1 and 100. The program displays the original array, then calls each of the above methods and displays their results as shown below. Document your code and organized your output following these sample runs. Sample run 1: Original array: 3, 5, 2, 6, 1 Max value: 6 Min value: 1 Squared array: 9, 25, 4, 36, 1 Reversed array: 1, 36, 4, 25, 9 Sample run 2: Original array: 3, 2, 3, 7, 2 Max value: 7 Min value: 2 Squared array: 9, 4, 9, 49, 4 Reversed array: 4, 49, 9, 4, 9 Sample run 3: Original array: 2, 2, 2, 2, 2 Maxvalue: 2 Min value: 2 Squared array: 4, 4, 4, 4, 4 Reversed array: 4, 4, 4, 4, 4