10.Consider the following linear equation x + % 1. 3. = 12 It is desired to remove the fractions from the equation by multiplying by an appropriate number. An equivalent equation is:

A teacher finds that for test grades in Class A, x̄ = 32 and S x = 4; for test grades in Class B, x̄ = 32 and S x = 8.a. What score should he predict for students in each class? b. Which class permits the better predictions? Why?

A project management consultant estimated that if a particular project was completed t years after completion, N thousand persons would benefit firectly from the project, where         N(t)=t3/3-4.5t2+16t                       0≤t≤10   for waht value of t will the lagest number of people receive direct benefits

Patrick is studying the relationship between the number of employees per department and the monthly overtime per department and has collected the data shown in the table. The line of best fit for the data is yˆ=0.135x+36.6.  Number of Employees 6080100120 Monthly Overtime (Hours) 45475053   According to the line of best fit, what would be the predicted monthly overtime for a department that had 122 employees? Provide your answer below:   The predicted monthly overtime is hours.

In our discussion of Winter’s method, a monthlyseasonality of (say) 0.80 for January means that duringJanuary, air conditioner sales are expected to be 80% of thesales during an average month. An alternative approach tomodeling seasonality is to let the seasonality factor for eachmonth represent how far above average air conditioner saleswill be during the current month. For instance, if sJan 50, then air conditioner sales during January are expectedto be 50 less than air conditioner sales during an averagemonth. If sJuly 90, then air conditioner sales during Julyare expected to be 90 more than air conditioner sales duringan average month. Letst the seasonality for month t after month tdemand is observedLt the estimate of base after month tdemand is observedTt the estimate of trend after month t demandis observedThen the Winter’s method equations given in the text aremodified to be as follows (* indicates multiplication):Lt a * (I ) (1 a) * (Lt1 Tt1)Tt b * (Lt Lt1) (1 b) * Tt1st g *…

A business manager determines that t months after production begins on a new product , the number of unit produced will be P thousand, where P(t)=6t2+5t/(t+1)2 What happens to production in the long run?

With data from the Social Security Trustees Report for selected years from 1950 and projected to 2030, the number of Social Security beneficiaries (in millions) can be modeled by B(t) = 0.00024t3 − 0.026t2 + 1.6t + 2.2

40 - How many of the following are uncertainties?   A) 4B) 1C) 3D) 0E) 2

These are the same data as in the previous question. Find the value of b2. You should use a computer to find the solution. Y       X1       X2       X3 27.6    1        4         4 9.4      3        5         3 15.6    4        7         1 20.      5        5         4 12.3    3        7         3 8.7      5        3         6 7.3      7        5         7 14.9    6        4         8 17.0    5        3         9 -0.8     4        2        0

A study shows that the fewer the number of wolves in a rural area (Y), the more farms there are in the area (Y).A classmate argues that the number of farms should be limited because it is damaging the wolf population. Howwould you respond to that conclusion?