The highlands craft store is a small craft operation that employs local artisans to produce clay bowls and mugs. the two primary resources used by the company are special pottery clay and skilled labor. given these limited resources, the company wants to know how many bowls and mugs to produce each day to maximize revenue. the two products have the following resource requirements for production and selling price per item produced: labor (hr./unit): bowl: 1, mug: 2 clay (lb./unit): bowl: 4 , mug: 3 revenue ($/unit): bowl: 40 , mug: 50 there are 40 hours of labor and 120 pounds of clay available each day. formulate this problem as a linear programming model (do not solve it, just write a mathematical representation of this problem).

It appears that people who are mildly obese are less active than leaner people. one study looked at the average number of minutes per day that people spend standing or walking. among mildly obese people, the mean number of minutes of daily activity (standing or walking) is approximately normally distributed with mean 376 minutes and standard deviation 64 minutes. the mean number of minutes of daily activity for lean people is approximately normally distributed with mean 528 minutes and standard deviation 107 minutes. a researcher records the minutes of activity for an srs of 7 mildly obese people and an srs of 7 lean people. use z-scores rounded to two decimal places to answer the following: what is the probability (image for it appears that people who are mildly obese are less active than leaner people. one study looked at the averag0.0001) that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes? what is the probability (image for it appears that people who are mildly obese are less active than leaner people. one study looked at the averag0.0001) that the mean number of minutes of daily activity of the 6 lean people exceeds 420 minutes?

Right triangle xyz has a right angle at vertex y and a hypotenuse that measures 24 cm. angle zxy measures 70º. what is the length of line segment xy? round to the nearest tenth. 8.2 cm 8.7 cm 22.6 m 25.5 cm

Which of the following is a solution of z^6 = 64i? 2(cos105° + isin105°) 2(cos120° + isin120°) 2(cos135° + isin135°) 8(cos15° + isin15°)