A company supplying candy to school vending machines needs to know about candy preferences of middle school and high school age students. A random sample of 400 students was taken. The company wants to know if there is any relationship between the candy choices and the age of students. After performing a chi-square test of independence, the chi-square test statistic = 24.68. The appropriate critical value for df and desired alpha level = 11.34. Is there sufficient evidence to reject the null hypothesis? Explain.

Verizon communications, inc., provides the following footnote relating to its leasing activities in its 10-k report. the aggregate minimum rental commitments under noncancelable leases for the periods shown at december 31, 2010, are as follows: years (dollars in millions) capital leases operatingleases 2011 $97 $1,898 2012 74 1,720 2013 70 1,471 2014 54 1,255 2015 42 1,012 thereafter 81 5,277 total minimum 418 $ 12,633 rental commitments less interest and (86) executory costs present value of 332 minimum lease payments less current (75) installments long-term obligation $257 at december 31, 2010 (a) confirm that verizon capitalized its capital leases using a rate of 7.4 %. (b) compute the present value of verizon's operating leases, assuming an 7.4% discount rate and rounding the remaining lease term to 3 decimal places. (use a financial calculator or excel to compute. do not round until your final answers. round each answer to the nearest whole number.)

Fabian got into an accident on his way to work. he had multiple fractures in his leg. his doctor advised strict bed rest for at least three months.fabian is a freelance wildlife photographer who usually works on a contract basis, and this is his primary source of income. before the accident, fabian was planning his finances. which goal of his financial plan would fabian in getting through without pay for the next three months? the goal that requires the creation of a/an would fabian get through the next three months without pay.

Sue now has $125. how much would she have after 8 years if she leaves it invested at 8.5% with annual compounding? a. $205.83b. $216.67c. $228.07d. $240.08e. $252.08