In class we derived a differential equation that governs the spatial temperature distribution inside a fin with uniform cross-sectional area that is exposed to convection. Beginning with a differential control volume, derive a differential equation that governs the spatial temperature distribution inside a fin with uniform cross-sectional area that is exposed to both convection (with T. and h) and a uniform radiation heat flux arad. Assume conduction inside the fin is 1- D, steady state, constant properties, no heat generation inside the fin, that the base temperature of the fin To is higher than T., and grad is into the fin.

Acompany is developing a new high­performance wax for cross country ski racing. in order to justify the price marketingwants, the wax needs to be very fast. specifically, the mean time to finish their standard test course should be less thanseconds for a former olympic champion. to test it, the champion will ski the course 8 times. the champion's times(selected at random) are 59.9 61.9 48.8 52.2 46.6 45.3 50.6 and 41.1 seconds to complete the test course. complete parts a and b below.a) should they market the wax? assume the assumptions and conditions for appropriate hypothesis testing are metfor the sample.assume=0.05. what are the null and alternative hypotheses? choose the correct answer below.b) suppose they decide not to market the wax after the test, but it turns out that the wax really does lower the champion'saverage time to less thanseconds. what kind of error have they made? explain the impact to the company of such anerror.

phillips, inc. had the following financial data for the year ended december 31, 2019. cash $ 41,000 cash equivalents 75,000 long term investments 59,000 total current liabilities 149,000 what is the cash ratio as of december 31, 2019, for phillips, inc.? (round your answer to two decimal places.)

Bill dukes has $100,000 invested in a 2-stock portfolio. $62,500 is invested in stock x and the remainder is invested in stock y. x's beta is 1.50 and y's beta is 0.70. what is the portfolio's beta? do not round your intermediate calculations. round the final answer to 2 decimal places.