Aconsumer group plans to test whether a new passenger car that is advertised to have a mean highway miles per gallon of at least 33 actually meets this level. they plan to test the hypothesis using a significance level of 0.05 and a sample size of nequals100 cars. it is believed that the population standard deviation is 3 mpg. based upon this information, if the "true" population mean is 32.0 mpg, what is the probability that the test will lead the consumer group to "accept" the claimed mileage for this car? round to four decimal places.

Someone answer this asap rn for ! a discount store’s prices are 25% lower than department store prices. the function c(x) = 0.75x can be used to determine the cost c, in dollars, of an item, where x is the department store price, in dollars. if the item has not sold in one month, the discount store takes an additional 20% off the discounted price and an additional $5 off the total purchase. the function d(y) = 0.80y - 5 can be used to find d, the cost, in dollars, of an item that has not been sold for a month, where y is the discount store price, in dollars. create a function d(c(x)) that represents the final price of an item when a costumer buys an item that has been in the discount store for a month. d(c(x)) =

Quickly multiply and simplify polynomials (x – 4) (x^2 – 5x – 6)

Marcus needs to bike at least 80 miles this week for his training. if he has already biked 25 miles this week, then how many miles should he bike on each of the 5 remaining days this week ?