The time required for an automotive center to complete an oil change service on an automobile approximately follows a normal distribution, with a mean of 1515 minutes and a standard deviation of 3.53.5 minutes.
(a) the automotive center guarantees customers that the service will take no longer than 2020 minutes. if it does take longer, the customer will receive the service for half-price. what percent of customers receive the service for half-price?
(b) if the automotive center does not want to give the discount to more than 55% of its customers, how long should it make the guaranteed time limit?

The table shows the relationship between the number of cups of cereal and the number of cups of raisins in a cereal bar recipe: number of cups of cereal number of cups of raisins 8 2 12 3 16 4 molly plotted an equivalent ratio as shown on the grid below: a graph is shown. the title of the graph is cereal bars. the horizontal axis label is cereal in cups. the x-axis values are 0, 20, 40, 60, 80,100. the vertical axis label is raisins in cups. the y-axis values are 0, 10, 20, 30, 40, 50. a point is plotted on the ordered pair 40,20. which of these explains why the point molly plotted is incorrect? (a) if the number of cups of cereal is 40, then the number of cups of raisins will be10. (b)if the number of cups of raisins is 40, then the number of cups of cereal will be10. (c) if the number of cups of cereal is 40, then the number of cups of raisins will be 80. (d) if the number of cups of raisins is 40, then the number of cups of cereal will be 80.