In the spillway flow of the figure below, the flow is assumed to be uniform over the spillway. If friction losses and the width of the spillway are neglected, what is the velocity V2? Note that you need to find V1 before computing V2. Mass conservation gives you the ratio between V1 and V2. Bernouilli equation allows you to compute V1. V₁ 5m a. 9.27 b. 1.29 C. 13.23 O d. 3.26 10.7m V₂ Correct

20 → Using the following Water Purifier prediction interval example f rom the text, how would you describe the probability or likelihood that an 1800 GPH purifier would cost between what price intervals?* Enter the GPH for which you desire an estimate: Your estimated Price is: Prediction Interval (+/-) Confidence Level: Range 90.0% 2,380 Low 4,071.31 1,800 5,261.08 OK ✓ Estimate High 5,261.08 6,450.85 A There is a 98% likelihood that an 1800 GPH purifier would cost between $4,071 and $6,450.85 [B] There is a 90% likelihood that an 1800 GPH purifier would cost between $4,071 and $5,261.08. c There is a 90% likelihood that an 1800 GPH purifier would cost between $4,071 and $6,450.85 D] There is a 98% likelihood that an 1800 GPH purifier would cost between $4,071 and $5,261.08.

X(t) is a wide sense stationary stochastic process with autocorrelation function sin(271000r) R„(T)=10- 271000r The process Y(t) is a version of X(t) delayed by 50 micro seconds. {Y(t) = X(t - t0)} (a) Derive the autocorrelation function of Y (t). (b) Derive the cross-correlation function of X(t) and Y (t). (c) Are X(t) and Y (t) jointly wide sense stationary? IUnloaded File Details

In the past four years, the annual returns of one company’s stockare 12%, 18%, and –14%, and 7%.a) What is the geometric average return? b) What is the arithmetic average of the returns? c) According to an economist’ forecast on the Year 2020, the probabilities of repeatingthe performances of the former four years are 30%, 30%, 20%, and 20%, respectively.What is the expected return of the stock in the Year 2020

Q6 Suppose that at time t=0, half of a "logistic" population of 100000 persons have heard a certain rumor and that the number of those who have heard it is then increas­ing at the rate of 500 persons per day. How long will it take for this rumor to spread to 80% of the population? ( Suggestion: Find the value of k by substituting P(0) and P'(0) in the logistic equation)   a. About 98 days   b. About 34 days   c. About 19 days   d. About 69 days   e. About 119 days

A department store is about to order deluxe, standard, and economy grade DVD players for next year's inventory. The state of the nation's economy (fate) during the year will be a factor on sales for that year. Records over the past 5 years show that if the economy is up, the store will net 4, 3, and 1 million dollars, respectively, on sales of deluxe, standard, and economy grade models; if the economy is down, the company will net – 1, 0, and 3 million dollars, respectively, on sales of deluxe, standard, and economy grade models. Complete parts A through D below. ... (A) Set up a payoff matrix for this problem. Economy (fate) Up Down Deluxe Dept. Store Standard Economy

2.6) Determine the tensile stress (MPa) experienced by cable AB if the diameter is 10mm. ว သ 2.6) Determine the tensile stress (MPa) experienced by cable AB if the diameter is 10 mm. 6 m 11 m 7 m B. 16 kN C35 20 kN 6 m

Metropolitan Hospital has estimated its average monthly bed needs as N=1,000+9X where X=timeperiod(months);January2002=0 N=monthlybedneeds Assume that no new hospital additions are expected in the area in the foreseeable future. The following monthly seasonal adjustment factors have been estimated, using data from the past five years: Forecast Metropolitans bed demand for January, April, July, November, and December 2007. If the following actual and forecast values for June bed demands have been recorded, what seasonal adjustment factor would you recommend be used in making future June forecasts?

Bell Greenhouses has estimated its monthly demand for potting soil to be the following: N=400+4X where N=monthlydemandforbagsofpottingsoil X=timeperiodsinmonths(March2006=0) Assume this trend factor is expected to remain stable in the foreseeable future. The following table contains the monthly seasonal adjustment factors, which have been estimated using actual sales data from the past five years: Forecast Bell Greenhouses demand for potting soil in March, June, August, and December 2007. If the following table shows the forecasted and actual potting soil sales by Bell Greenhouses for April in five different years, determine the seasonal adjustment factor to be used in making an April 2008 forecast.

If the value of the MPS is 0.33 find the value of the MPC