4. Determine the magnitude and coordinate direction angles of the resultant force, and sketch this vector on the coordinate system. F₁ = 400 N Z 135° 20% 60° 60° F₂ = 500 N
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- The total number of absents students in the four (4) school terms for a matric class at a high school over a 4-year period are recorded and tabulated as shown below. Year Term Number of absents 1 50 2018 2 38 16 4 1 67 2019 2 40 12 4 8 1 128 2020 95 37 4 20 1 149 2021 2 133 3 78 4 55 Calculate the first centered moving average for this time series data. A. 27.25 В. 29.375 С. 31.5 D. 32RDB Company wishes to assign a real estate brokers to one of its 6 sales districts. Based on theprofile of prospective buyers and the past performance of its top 6 brokers, the company estimatesthat average property sales, in lots/month, would be as follows:In the past, Peter Kelle's tire dealership in BatonRouge sold an average of I ,000 radials each year. In the past2 years, 200 and 250, respectively, were sold in fa ll, 350 and 300 inCHAPTER 4 FORECASTING 149winter, ISO and 165 in spring, and 300 and 285 in summer. With amajor expansion planned, Kelle projects sales next year to increaseto I ,200 radials. What will be the demand during each season? ~(Mylab Operations Management also includes a shorter (brief)version of this problem.)
- Tucson Machinery, Inc., manufactures numerically controlled machines (NCM), which sell for an average price of $12 million each. Sales for these NCMs for the past two years were as follows: Quantity (units) Quantity (units) Quarter Last year ||| III IV 12 18 20 24 Quarter This year | || ||| IV 20 24 28 32 Find the equation of a simple linear regression line using Excel, in the format of Y=a+bX. Keep two decimals of a and b. Forecast the first quarter sales for next year. Keep two decimals.For the Hawkins Company, the monthly percentages of all shipments received on time over the past 12 months are: Monthly Proportion of All Shipments Received On Time 80 81 85 83 84 86 85 85 82 81 85 84 Estimate the average of MSE of a three-month moving average and an exponential smoothingfor α = 0.3. Group of answer choices 1.24 2.4 3.56 4.25 4.58A manager at Symbic Inc. plotted the company's total energy costs of 1 billion dollars over the past 10 years on a chart. The chart suggested that the energy costs appear to be increasing in a fairly predictable linear fashion and that the energy costs are related to time by a linear function Yt = 3 + 5t, where Yt represents the estimate of the energy cost in year t. Given the equation, which of the following is the value of the intercept of the straight line that best fits the time series? a. 10 b. 1 c. 5 d. 3
- 28. Shoreline Park in Mountain View, California, has kept close tabs on the number of patrons using the park since its opening in January 1993. For the first six months of 2013, the following figures were recorded: Month Number of Patrons Month Number of Patrons April May June 640 January February March 133 183 1,876 2,550 285 a. Draw a graph of these six data points. Assume that January February fit of the data. Estimate the slope and intercept from your graph. period 1, period 2, and so on. Using a ruler, “eyeball" the best straight-line +Consider the following from an estate agent business: Month Houses Sold Jan 380 Feb 360 Mar 390 Apr 400 May 390 June 380 July 394 Aug 454 Sep 460 Oct 460 Nov 430 Dec 370 a) Calculate the three point moving averages (quarters) and seasonal variation for the above data b) A detective figures he has a one in nine chance of recovering stolen property. His out-of-pocket expenses for the investigation are $9,000. If he is paid his fee only if he recovers the stolen property, what should he charge clients in order to breakeven? c) At the races, your horse, has a probability of 1/20 of coming 151, 1/10 of coming 2nd and a probability of ¼ in coming 3rd. First place pays $4,500 to the winner, second place $3,500 and third place $1,500. Hence, is it worth entering the race if it costs $1,000? d) Your company plans to invest in a particular…Solve for the intercept (a).
- The number of students enrolled in Spring Valley Elementary school has been steadily increasing over the past five years. The School Board would like to forecast enrolment for years 6 and 7 in order to better plan capacity. The past five years enrolment is indicated in table 3: Table 3 Year Enrollment 1 220 2 245 3 256 4 289 5 310 Assuming a linear trend, use the tabular method to derive values for: the slope the intercept How did you work out to get 22.4 for the slope and for the intercept how did you work it out and get 196.8do fastN