Use the spinner shown. It is equally probable that the pointer will land on any one of the eight regions. If the pointer lands on a borderline, spin again. the pointer is spun three times, find the probability that it will land on purple every time

Acompany is developing a new high­performance wax for cross country ski racing. in order to justify the price marketingwants, the wax needs to be very fast. specifically, the mean time to finish their standard test course should be less thanseconds for a former olympic champion. to test it, the champion will ski the course 8 times. the champion's times(selected at random) are 59.9 61.9 48.8 52.2 46.6 45.3 50.6 and 41.1 seconds to complete the test course. complete parts a and b below.a) should they market the wax? assume the assumptions and conditions for appropriate hypothesis testing are metfor the sample.assume=0.05. what are the null and alternative hypotheses? choose the correct answer below.b) suppose they decide not to market the wax after the test, but it turns out that the wax really does lower the champion'saverage time to less thanseconds. what kind of error have they made? explain the impact to the company of such anerror.

All of the industries and businesses in the country of marksenia are privately owned and sell products at different prices that are not controlled by the government or any other organizational body. consumers in marksenia are free to buy as much of the products as they like from the businesses they want. the country of marksenia has a

Vintage fun reproduces oldminusfashioned style roller skates and skateboards. the annual production and sales of roller skates is 950 units, while 1,750 skateboards are produced and sold. the company has traditionally used direct labor hours to allocate its overhead to products. roller skates require 2.5 direct labor hours per unit, while skateboards require 1.25 direct labor hours per unit. the total estimated overhead for the period is $114,300. the company is looking at the possibility of changing to an activityminusbased costing system for its products. if the company used an activityminusbased costing system, it would have the following three activity cost pools: the overhead cost per skateboard using the traditional costing system would be closest to: a. $9.31. b. $65.31. c. $25.05. your answer is not correct.d.