Below is a scale drawing of a stage that Syla is designing. A rectangle with length 8 centimeters and width 5 centimeters. Using the scale 1 cm : 7 m, Syla calculated the width, or the shorter side of the stage, to be 35 m. She decides to change the scale to 1 cm : 10 m. What is the width of the new stage? 35 m 50 m 56 m 80 m

According to a study conducted in 2015, 18% of shoppers said that they prefer to buy generic instead of name-brand products. suppose that in a recent sample of 1500 shoppers, 315 stated that they prefer to buy generic instead of name-brand products. at a 5% significance level, can you conclude that the proportion of all shoppers who currently prefer to buy generic instead of name-brand products is higher than .18? use both the p-value and the critical-value approaches.