To assess whether your calculations are reasonable, we'll analyze a similar situation to the one described in the problem introduction. suppose the same sled is released from the same height on the same slope. this time, however, assume that the coefficient of kinetic friction between the ground and the sled is a known quantity, μ, and, as before, constant throughout the trip. after the sled is released, it slides the same distance d1 down the slope and then moves a certain (unknown) distance along the horizontal terrain before stopping. find the distance d traveled by the sled from the end of the slope until it comes to a stop.

Restrictions on f(x) = 1/x+5 and g(x) = x-2

The table shows population statistics for the ages of best actor and best supporting actor winners at an awards ceremony. the distributions of the ages are approximately bell-shaped. compare the z-scores for the actors in the following situation. best actor best supporting actor muequals42.0 muequals49.0 sigmaequals7.3 sigmaequals15 in a particular year, the best actor was 59 years old and the best supporting actor was 45 years old. determine the z-scores for each. best actor: z equals best supporting actor: z equals (round to two decimal places as needed.) interpret the z-scores. the best actor was (more than 2 standard deviations above more than 1 standard deviation above less than 1 standard deviation above less than 2 standard deviations below) the mean, which (is not, is) unusual. the best supporting actor was (less than 1 standard deviation below more than 1 standard deviation above more than 2 standard deviations below more than 1 standard deviation below) the mean, which (is is not) unusual.

The average number of vehicles waiting in line to enter a parking lot can be modeled by the function f left parenthesis x right x squared over 2 left parenthesis 1 minus x right parenthesis endfraction , where x is a number between 0 and 1 known as the traffic intensity. find the rate of change of the number of vehicles waiting with respect to the traffic intensity for the intensities (a) xequals0.3 and (b) xequals0.6.