The following data give the one-way commuting times (in minutes) from home to work for a random sample of 50 workers. 23 17 34 26 18 33 46 42 12 37 44 15 22 19 28 32 18 39 40 48 1611 924182631 73015 18 22 29 32 30 21 19 14 26 37 25 36 23 39 42 46 29 17 24 31 a. make a histogram for these data. b. prepare a stem-and-leaf display for these data. c. make a dotplot for these data.

The lengths of nails produced in a factory are normally distributed with a mean of 4.91 centimeters and a standard deviation of 0.05 centimeters. find the two lengths that separate the top 4% and the bottom 4%. these lengths could serve as limits used to identify which nails should be rejected. round your answer to the nearest hundredth, if necessary.

Browning labs is testing a new growth inhibitor for a certain type of bacteria. the bacteria naturally grows exponentially each hour at a rate of 6.2%. the researchers know that the inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. the sample currently contains 100 bacteria.the container holding the sample can hold only 300 bacteria, after which the sample will no longer grow. however, the researchers are increasing the size of the container at a constant rate allowing the container to hold 100 more bacteria each hour. they would like to determine the possible number of bacteria in the container over time.create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.

Factor the expression using gcf 9b+45