the number of bacteria in a sample increased by a factor of 1.02 every minute from the time shown in the graph. the function shows the number of bacteria in the sample f(x) after x minutes from 9: 05 a. m:

f(x) = 10(1.02)x

exponential graph showing time in minutes on the x axis and number of bacteria on the y axis going through zero comma ten and approximately fifty comma twenty seven

which of the following is a reasonable domain for the function?
0 ≤ x ≤ 10
5 ≤ x ≤ 55
0 ≤ x ≤ 50
all positive integers

Describe in detail how you would construct a 95% confidence interval for a set of 30 data points whose mean is 20 and population standard deviation is 3. be sure to show that you know the formula and how to plug into it. also, clearly state the margin of error.

For one history test, keith had to answer 40 questions. of these 40 questions, keith answered 28 of them correctly. what percent did keith get on his history test? round your answer to the nearest tenth if necessary

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below: