Ascientist is studying the growth of a particular species of plant. he writes the following equation to show the height of the plant f(n), in cm, after n days: f(n) = 10(1.02)n1. starting from 0 days, plug x-values into our function to find out how many days it takes for the plant to grow to 11.04 cm2. write a compound inequality to show the reasonable domain of the plant growth: 3. what is the y-intercept of our function? 4. what does the y-intercept of the graph of the function f(n) represent? 5. what is the average rate of change formula for exponential growth functions? 6. plug and chug n= 1 to n = 5 into your formula above. show all work! 7. what does the average rate of change answer represent?

Atechnician compares repair costs for two types of microwave ovens (type i and type ii). he believes that the repair cost for type i ovens is greater than the repair cost for type ii ovens. a sample of 6767 type i ovens has a mean repair cost of $79.79$⁢79.79. the population standard deviation for the repair of type i ovens is known to be $19.18$⁢19.18. a sample of 5555 type ii ovens has a mean repair cost of $75.24$⁢75.24. the population standard deviation for the repair of type ii ovens is known to be $21.40$⁢21.40. conduct a hypothesis test of the technician's claim at the 0.050.05 level of significance. let μ1μ1 be the true mean repair cost for type i ovens and μ2μ2 be the true mean repair cost for type ii ovens. step 2 of 4 : compute the value of the test statistic. round your answer to two decimal places.