Break downs occur on a 20-years-old car with rate λ= 0.5 breakdowns/week. the owner of the car is planning to have a trip on his car for 2 weeks. what is the probability that there will be no breakdown on his car in the trip? [ the rate = ? per two weeks]

Fiona joins a fruit of the month club. the entry cost was $25 and then she pays $18 per month. if she participates for 8 months, how much will she pay in all? how much in 10 months?

Factor this polynomial completely x^2-64

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)