The yield of a chemical process expressed in percentage of the theoretical maximum is measured with each of two catalyst a and b and with no catalyst(control c). five observation are made under each condition making the usual assumption for an analysis of variance test the hypothesis that there is no difference in main yield between the three condition. use the 5% level of significance a(79.2,80.1,77.4,77.6,77.8). b(81.5,80.7,80.5,81.7,80.6). c(74.8,76.5,74.7,74.8,74.9).

It appears that people who are mildly obese are less active than leaner people. one study looked at the average number of minutes per day that people spend standing or walking. among mildly obese people, the mean number of minutes of daily activity (standing or walking) is approximately normally distributed with mean 376 minutes and standard deviation 64 minutes. the mean number of minutes of daily activity for lean people is approximately normally distributed with mean 528 minutes and standard deviation 107 minutes. a researcher records the minutes of activity for an srs of 7 mildly obese people and an srs of 7 lean people. use z-scores rounded to two decimal places to answer the following: what is the probability (image for it appears that people who are mildly obese are less active than leaner people. one study looked at the averag0.0001) that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes? what is the probability (image for it appears that people who are mildly obese are less active than leaner people. one study looked at the averag0.0001) that the mean number of minutes of daily activity of the 6 lean people exceeds 420 minutes?

If the value of cos330°is√3/2 then find cos 165°.

Rewrite 9 log, x2 in a form that does not use exponents. 9log, x = log, x