A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a standard deviation of 54 minutes with a mean life of 828 minutes. If the claim is true, in a sample of 107 batteries, what is the probability that the mean battery life would differ from the population mean by more than 8.3 minutes? Round your answer to four decimal places.

Imogene invested $8,000 in a bank account that pays 8 percent simple interest at the end of each year. her friend invested the same amount in stocks where the growth of the investment is represented as 2,000 times the square root of 2 less than the time lapsed in years. if y1 and y2 represent the amount earned in dollars and t is the time lapsed in years, which system of equations correctly represents the situation?

Fa bus driver leaves her first stop by 7: 00 a.m., her route will take less than 37 minutes. if she leaves after 7: 00 a.m., she estimates that the same route will take no less than 42 minutes. which inequality represents the time it takes to drive the route, r?

The equation of a parabola is given. y=18x2+4x+20 what are the coordinates of the focus of the parabola?