1- A solution contains 5 grams of glucose per 100 milliliters. Each mole of glucose weighs 180 grams. How many moles are there in 200 milliliters of the glucose solution? 

2- A light-year is a measure of length equal to the distance that light travels in 1 year. Compute the conversion factor between light-years and meters, and find the distance to the star Proxima Centauri m in light-years. The speed of light is m/s. Show your conversion work with the appropriate ratios.

3- A jogger is going at 12ft/min. How fast is she going in miles per hour?

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There are two houses with almost identical characteristics available for investment in two different neighborhoods with drastically?  different demographic composition. The anticipated gain in value when the houses are sold in 10 years has the following probability distribution:  Returns  Probability Neighborhood A Neighborhood B  .25 $22,500 $30,500  .40 $10,000 $25,000  .35 $40,500 $10,500  a) What is the expected value gain for the house in neighborhood A? Show or explain  b) What is the expected value gain for the house in neighborhood B? Show or explain c) What is the variance of the gain in value for the house in neighborhood A? Show or explain how you obtain your answer.  d) What is the variance of the gain in value for the house in neighborhood B? Show or explain how  e) What is the standard deviation of the value gain for the house in neighborhood A? Show or explain .  f) What is the standard deviation of the value gain for the house in neighborhood B?  g) What is the covariance of the two houses? h) If you can invest 70% of your money on the house in neighborhood A and the remaining on the house in neighborhood B, what is the portfolio expected return of your investment?  i) If you can invest 70% of your money on the house in neighborhood A and the remaining on the house in neighborhood B, what is the portfolio risk of your investment? 

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