Adetergent company periodically tests its products for variations in the fill weight. to do this, the company uses -charts. eight samples, each containing six detergent boxes, were selected from different batches. historical data for fill weight (in ounces) of the eight samples is presented below. sample sample mean sample range 1 15.80 0.42 2 16.10 0.38 3 16.02 0.08 4 15.95 0.15 5 16.12 0.42 6 16.18 0.23 7 15.87 0.36 8 16.20 0.40 if a2> for the -chart is 0.483, the upper control limit for the -chart (ucl ) will be:

a. more than 18.
b. more than 16 but less than or equal to 18.
c. less than or equal to 14.
d. more than 14 but less than or equal to 16.

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.

According to the number line, what is the distance between points a and b? v ++ + + + + -16 -14 -12 -10 -8 + 6 + 4 + -2 + 0 + 2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 o6 units o 7 units 12 units o 14 units

What are the steps to solving the inequality 3b + 8 ≥ 14?