Sandy is her uncle at this coffee shop. she observes that, when ordering coffee, 13 of customers select chocolate flavoring. to simulate the behavior of the next 5 customers, she lets the number 1 represent someone ordering chocolate, and she lets the numbers 2 or 3 represent someone ordering a different flavor. she writes the numbers 1, 2, and 3 on cards and mixes them up. sandy then picks one card, records the result, and puts the card back. she does this process four more times to represent 5 customers and to complete 1 trial of the experiment. she repeats this experiment for a total of 10 trials. the results are recorded in the table. 12323 13123 22222 23111 11322 31112 23331 11231 32332 13111 using this simulation, what is the probability that 3 or more of the next 5 customers will order chocolate? enter your answer, as a fraction in simplified form, in the box.

On a string instrument, the length of a string varies inversely as the frequency of its vibrations. an 11-inch string has a frequency of 400 cylces per second. find the frequency of a 10-icnch string.

What are the solutions to the following equation? |m| = 8.5 the value of m is equal to 8.5 and because each distance from zero is 8.5.

Each of the following data sets has a mean of x = 10. (i) 8 9 10 11 12 (ii) 7 9 10 11 13 (iii) 7 8 10 12 13 (a) without doing any computations, order the data sets according to increasing value of standard deviations. (i), (iii), (ii) (ii), (i), (iii) (iii), (i), (ii) (iii), (ii), (i) (i), (ii), (iii) (ii), (iii), (i) (b) why do you expect the difference in standard deviations between data sets (i) and (ii) to be greater than the difference in standard deviations between data sets (ii) and (iii)? hint: consider how much the data in the respective sets differ from the mean. the data change between data sets (i) and (ii) increased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). the data change between data sets (ii) and (iii) increased the squared difference îł(x - x)2 by more than data sets (i) and (ii). the data change between data sets (i) and (ii) decreased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). none of the above