Aquality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. not every bag contains exactly the same weight. but if more than 15% of bags are over-filled then they stop production to fix the machine. they define over-filled to be more than 1 ounce above the weight on the package. the engineer weighs 100 bags and finds that 21 of them are over-filled. he plans to test the hypotheses: h0: p = 0.15 versus ha: p > 0.15 (where p is the true proportion of overfilled bags). what is the test statistic?

Solve for x. −3/4(x+2)=6 enter your answer in the box

Titus works at a hotel. part of his job is to keep the complimentary pitcher of water at least half full and always with ice. when he starts his shift, the water level shows 4 gallons, or 128 cups of water. as the shift progresses, he records the level of the water every 10 minutes. after 2 hours, he uses a regression calculator to compute an equation for the decrease in water. his equation is w –0.414t + 129.549, where t is the number of minutes and w is the level of water. according to the equation, after about how many minutes would the water level be less than or equal to 64 cups?

At store a, erasers are sold individually. the cost y of x erasers is represented by the equation y=0.75x. the costs of erasers at store b are shown in the graph.