The mean output of a certain type of amplifier is 466 watts with a standard deviation of 10 watts. if 32 amplifiers are sampled, what is the probability that the mean of the sample would differ from the population mean by less than 1.6 watts? Round your answer to
four decimal places

Palmer frosted flakes company offers its customers a pottery cereal bowl if they send in 3 boxtops from palmer frosted flakes boxes and $1. the company estimates that 60% of the boxtops will be redeemed. in 2012, the company sold 675,000 boxes of frosted flakes and customers redeemed 330,000 boxtops receiving 110,000 bowls. if the bowls cost palmer company $3 each, how much liability for outstanding premiums should be recorded at the end of 2012?

Asmall town wants to build some new recreational facilities. the proposed facilities include a swimming pool, recreation center, basketball court and baseball field. the town council wants to provide the facilities which will be used by the most people, but they face budget and land limitations. the town has $400,000 and 14 acres of land. the pool requires locker facilities which would be in the recreation center, so if the swimming pool is built the recreation center must also be built. also, the council has only enough flat land to build the basketball court or the baseball field. the daily usage and cost of the facilities (in $1,000) are shown below. which facilities should they build? facilityusagecost ($1,000)landswimming pool4001002recreation center5002003basketball court3001504baseball field2001005

Analyzing operational changes operating results for department b of delta company during 2016 are as follows: sales $540,000 cost of goods sold 378,000 gross profit 162,000 direct expenses 120,000 common expenses 66,000 total expenses 186,000 net loss $(24,000) suppose that department b could increase physical volume of product sold by 10% if it spent an additional $18,000 on advertising while leaving selling prices unchanged. what effect would this have on the department's net income or net loss? (ignore income tax in your calculations.) use a negative sign to indicate a net loss answer; otherwise do not use negative signs with your answers. sales $answer cost of goods sold answer gross profit answer direct expenses answer common expenses answer total expenses answer net income (loss) $answer