An insurance company insures red and green cars. an actuary compiles the following data: color of car red green number insured 300 700 probability an accident occurs 0.10 0.05 probability that the claim exceeds the deductible, given an accident occurs from this group 0.90 0.80 the actuary randomly picks a claim from all claims that exceed the deductible. calculate the probability that the claim is on a red car.

Muscles, a membership-only gym is hoping to open a new branch in a small city in pennsylvania that currently has no fitness centers. according to their research approximately 12,600 residents live within driving distance of the gym. muscles sends out surveys to a sample of 300 randomly selected residents in this area (all of who respond) and finds that 40 residents say they would visit a gym if one was located in their area. based on the past survey research, muscles estimates that approximately 30% of these respondents would actually join the gym if they opened one in the area. based on this information and the results of the sample survey, about how many residents should muscles expect to join its new branch? a) 134 b) 504 c) 1,680 d) 3,780

Find and simplify an expression for the area of five rows of x squares with side lengths of x centimeters .

Abarbecue sold 26 hamburgers and hot dogs. hamburgers sell for $3.50 each and hot dogs sell for $2.00 each. if the barbecue made $70 in sales, determine and state the number of hot dogs sold.