Resting heart rate was measured for a group of subjects; the subjects then drank 6 ounces of coffee. ten minutes later their heart rates were measured again. the change in heart rate followed a normal distribution, with mean increase of 7.3 beats per minute and a standard deviation of 11.1 beats per minute. let latex: y y denote the change in heart rate for a randomly selected person. find latex: \text{p}(y< 10)

Atriangle has a side lengths of 18cm, 80 cm and 81cm. classify it as acute obtuse or right?

Afrequency table of grades has five classes (a, b, c, d, f) with frequencies of 3, 13, 14, 5, and 3 respectively. using percentages, what are the relative frequencies of the five classes?

Questions 9-10. use the table of educational expenditures to answer the questions. k-12 education expenditures population indiana $9.97 billion 6.6 million illinois $28.54 billion 12.9 million kentucky $6.58 billion 4.4 million michigan $16.85 billion 9.9 million ohio $20.23 billion 11.6million 9. if the amount of k-12 education expenses in indiana were proportional to those in ohio, what would have been the expected value of k-12 expenditures in indiana? (give the answer in billions rounded to the nearest hundredth) 10. use the value of k-12 education expenditures in michigan as a proportion of the population in michigan to estimate what the value of k-12 education expenses would be in illinois. a) find the expected value of k-12 expenditures in illinois if illinois were proportional to michigan. (give the answer in billions rounded to the nearest hundredth) b) how does this compare to the actual value for k-12 expenditures in illinois? (lower, higher, same? )