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.  %

Heidrick has won the chance to “Eat the Elite” at the Zombie…

Heidrick has won the chance to “Eat the Elite” at the Zombie Dash 7-mile race. He will receive a 2.25 mile head start. The elite runners run at a pace of 12.6 miles per hour. Heidrick runs at a pace of 6 miles per hour. Solve the equation to determine how many hours it will take the elite runners to catch up to Heidrick? Enter your answer in hours rounded to the nearest hundredth.  t =    hours