Newton’s law of cooling states that the rate of cooling of an object is proportional to the temperature difference between the object and its surroundings. so the rate of cooling for a bottle of lemonade at a room temperature of 75°f which is placed into a refrigerator with temperature of 38°f can be modeled by dt/dt=k(t-38) where t(t) is the temperature of the lemonade after t minutes and t(0) = 75. after 30 minutes the lemonade has cooled to 60°f, so t(30) = 60.

to the nearest degree, what is the temperature of the lemonade after an additional 30 minutes?

The null and alternate hypotheses are: h0: μ1 ≤ μ2 h1: μ1 > μ2 a random sample of 22 items from the first population showed a mean of 113 and a standard deviation of 12. a sample of 16 items for the second population showed a mean of 99 and a standard deviation of 6. use the 0.01 significant level. find the degrees of freedom for unequal variance test. (round down your answer to the nearest whole number.) state the decision rule for 0.010 significance level. (round your answer to 3 decimal places.) compute the value of the test statistic. (round your answer to 3 decimal places.) what is your decision regarding the null hypothesis? use the 0.01 significance level.