An emerging electric car company produces two vehicles: small 2-door sedans and mid- size suvs. they currently have one factory, which is outfitted to produce 2 sedans and 1 suv per hour when operating at maximum capacity. they are planning a new factory, and are trying to decide what production target the factory should be tooled for, in face of uncertain and dynamic consumer demand (a) write a system of linear equations that describe the problem of matching production to demand, using symbolic constants for the maximum hourly production of sedans and suvs from the new factory as well as for consumer demand for sedans and suvs. (b) use cramer's rule to derive a solution to this system, in terms of the symbolic constants. (c) what production values for the new factory would not yield a unique solution? (d) what consumer demands can be exactly satisfied with the production values deter- mined in (b)? (e) can you express conditions on the production values for the new factory that would yield a realistic solution, dependent on consumer demands?

The following frequency table relates the weekly sales of bicycles at a given store over a 42-week period.value01234567frequency367108521(a) in how many weeks were at least 2 bikes sold? (b) in how many weeks were at least 5 bikes sold? (c) in how many weeks were an even number of bikes sold?

The graph below shows the height of a projectile t seconds after it is launched. if acceleration due to gravity is -16 ft/s2, which equation models the height of the projectile correctly?

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?