The high temperature for seven january days along with the number of cups of hot chocolate sold for those days at a coffee shop are shown in the table below. use these data to complete partsâ a) throughâ d) below.
high temperature
â(degreesâ°âf)
42
39
19
31
26
33
17
cups of hot chocolate sold
37
47
60
52
55
49
66
âa) determine the correlation coefficient between the high temperature and the number of cups of hot chocolate sold.
r=
â(round to the nearest thousandth asâ needed.)

Arley is building a model of a city map. in one part of the city, three roads form a right triangle, which harley draws as triangle abc, with the following measures: m∠b=90° and m∠a=30°. in his scale model, the hypotenuse of triangle abc, ac¯¯¯¯¯¯¯¯, has a length of 817−−√ cm. what is the value of a (the length of bc¯¯¯¯¯¯¯¯)?

The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. complete parts (a) and (b) below. business degrees nonbusiness degrees total male 189131 634650 823781 female 169539 885329 1054868 total 358670 1519979 1878649 (a) find the probability that a randomly selected student is male, given that the student received a business degree. the probability that a randomly selected student is male, given that the student received a business degree, is nothing. (round to three decimal places as needed.) (b) find the probability that a randomly selected student received a business degree, given that the student is female. the probability that a randomly selected student received a business degree, given that the student is female, is nothing. (round to three decimal places as needed.)

Which graph represents the function g(x) = |x + 4| + 2?