(all answers were generated using 1,000 trials and native excel functionality.) the management of brinkley corporation is interested in using simulation to estimate the profit per unit for a new product. the selling price for the product will be $45 per unit. probability distributions for the purchase cost, the labor cost, and the transportation cost are estimated as follows: procurement cost ($) probability labor cost ($) probability transportation cost ($) probability 10 0.25 20 0.10 3 0.75 11 0.45 22 0.25 5 0.25 12 0.30 24 0.35 25 0.30 (a) construct a simulation model to estimate the average profit per unit. what is a 95% confidence interval around this average? round your answers to two decimal places. lower bound: $ upper bound: $ (b) management believes that the project may not be sustainable if the profit per unit is less than $5. use simulation to estimate the probability that the profit per unit will be less than $5. what is a 95% confidence interval around this proportion? round your answers to one decimal of a percentage. lower bound: %

Which elements in the set below are integers? 12, –3⁄4,√ 25 , –7, √ 5 , 14⁄7, 9 a. 12, √ 25 , –7, 9 b. 12, √ 25 , –7, 14⁄7, 9 c. –3⁄4, 25 , √ 5 ,14⁄7 d. 12, –7, 9

In tossing one coin 10 times, what are your chances for tossing a head? a tail? 2. in tossing one coin 100 times, what are your chances for tossing a head? a tail? 3. in tossing one coin 200 times, what are your chances for tossing a head? a tail? deviation = ((absolute value of the difference between expected heads and observed heads) + (absolute value of the difference between expected tails and observed tails)) divided by total number of tosses. this value should always be positive. 4. what is the deviation for 10 tosses? 5. what is the deviation for the 100 tosses? 6. what is the deviation for 200 tosses? 7. how does increasing the total number of coin tosses from 10 to 100 affect the deviation? 8. how does increasing the total number of tosses from 100 to 200 affect the deviation? 9. what two important probability principles were established in this exercise? 10. the percent of occurrence is the obtained results divided by the total tosses and multiplied by 100%. toss the coins 100 times and record your results. calculate the percent occurrence for each combination. percent head-head occurrence: percent tail-tail occurrence: percent head-tail occurrence:

In triangle △abc, ∠abc=90°, bh is an altitude. find the missing lengths. ah=4 and hc=1, find bh.