If the random variable X, representing the weight of dogs, i…

If the random variable X, representing the weight of dogs, is normally distributed with a mean of 25 pounds and a variance of 4 pounds, what is the proportion of dogs with a weight less than 24 pounds? Show your work.   If you use a calculator, you must identify the list(s) and/or function(s), with input(s), you used.  Give your answer to four decimal places.

Depreciation: Many items decrease in value as time passes. T…

Depreciation: Many items decrease in value as time passes. This decrease in value is called depreciation. One type of depreciation is called linear depreciation. The value V of an item after t years is given by , where C is the original cost and r is the rate of depreciation expressed as a decimal.  A. If you buy a car for $60,000 and it depreciates linearly at a rate of 10% per year, what will be its value after 6 years?  $     B. A contractor buys a 4 year old piece of heavy equipment for $20,000. If the equipment originally cost  $25,000, What is the rate of depreciation? Write your answer as a percentage.  %