A thrift store owner claims that 65% of the clothes in stock are brand new and have never been worn. To verify this claim, a shopper inspects 75 articles of clothing in the store. Only 45 (60%) of these articles are brand new. If 65% of all articles in this thrift shop really are brand new, what is the probability of obtaining an SRS of 75 articles of clothing in which 60% or less are brand new

Complete the synthetic division problem below. what is the quotient in polynomial form 2/16 -16

According to a research study, parents with young children slept 6.4 hours each night last year, on average. a random sample of 18 parents with young children was surveyed and the mean amount of time per night each parent slept was 6.8. this data has a sample standard deviation of 0.9. (assume that the scores are normally distributed.) researchers conduct a one-mean hypothesis at the 5% significance level, to test if the mean amount of time parents with young children sleep per night is greater than the mean amount of time last year. the null and alternative hypotheses are h0: μ=6.4 and ha: μ> 6.4, which is a right-tailed test. the test statistic is determined to be t0=1.89 using the partial t-table below, determine the critical value(s). if there is only one critical value, leave the second answer box blank.

Captain umaima has a ship, the h. m.s. khan. the ship is two furlongs from the dread pirate nadia and her merciless band of thieves. the captain has probability 3/7 of hitting the pirate ship. the pirate only has one good eye, so she hits the captain's ship with probability 2/5. if both fire their cannons at the same time, what is the probability that the captain hits the pirate ship, but the pirate misses.