Many electronic (e-)cigarettes work by vaportzing a liquid mixture of flavors and (usually) nicotine that is contained in a cartridge. When the smoker inhales on the e-cigarette, the liquid passes through a heating element and tums to a mist. Of importance to a manufacturer and consumer is the number of "puffs' that a cigarette can deliver before the cartridge needs to be replaced. À puff is defined as a two-second inhale. One manufacturer notes that the number of puffs that its cartridge can deliver, Y, is a normally distributed random variable with a mean of 260 puffs and a standard devation of 15 puffs. The manufacturer will replace a customer's cartridge free of charge if the number of puffs the customer gets out of the cartridge is below some guaranteed number. Suppose the manufacturer wants to replace no more than 2% of its cartridges as part of the guarantee. How many puffs should the manufacturer guarantee that a cartridge can produce? Round DOWN to the nearest whole puff. Hint: You will need to first find a z-score associated with the probability in the question, and then solve the z-score formula to find the y associated with that probability.

Caffeine is a stimulant found in coffee, tea, soft drinks and other drinks and foods. After consumption, caffeine is absorbed into the blood stream and carried throughout the body and to the brain. In moderate amounts (~300 mg per day) it causes increased attentiveness, it reduces feelings of fatigue, and it enables most people to think clearly and concentrate for longer periods. Caffeine also increases heart rate and rate of respiration. In large quantities (>600 mg per day) its effects are magnified. People sometimes feel irritable, distracted and tense.   People often use caffeine to increase mental alertness. Some people are more sensitive than others to the effects of caffeine. People who consume caffeine regularly may build up a tolerance to its effects. Further, since caffeine is mildly addictive, people who regularly consume caffeine may experience some withdrawal effects if they stop consumption.   The Study In this study, three people each consumed varying levels of…

The Escherichia coli culture (better known as E. coli) doubles every 40 minutes. If 30 E. coli are present initially, what will the number of E. coli be after 3 hours?

On March 11, 2011, Japan suffered an earthquake and tsunami that caused a disastrous accident at the Fukushima nuclear power plant. Among many other results, amounts of iodine-131 that were 27 times the government limit were found in a sample of spinach 60 miles away.† Now, 27 times the government limit of iodine-131 is 54 thousand becquerels per kilogram.† The following table shows the amount I, in thousands of becquerels per kilogram, of iodine-131 that would remain after t days. t = time, in days I = amount ofiodine-131 0 54.00 1 49.52 2 45.41 3 41.64 4 38.18   (a) Show that the data are exponential. (In this part and the next, round to three decimal places.) Because t increases by 1 each time, to show that the data are exponential, we must show that the successive ratios (rounded to three decimal places) are the same. Because all of the ratios are equal to  , the data are exponential.   (b) Find an exponential model I that shows the amount of iodine-131…

1. Mr. Pein has an aquarium that has a volume of 2000 mL and contains freshwater fish. One day, Mr. Pein's son accidentally spilled 1 kilogram of salt into the aquarium. The fish will die if they are in water with a salt concentration of more than 10-3 grams/mL for more than 30 minutes. So that the fish in the aquarium do not die, Mr. Pein must immediately reduce the salt concentration in the aquarium to 10-3 grams/mL by flowing fresh water at a constant rate through the aquarium, and removing the water from the aquarium at the same rate. What is the minimum water speed so that the fish don't die? In 500 А. 60000 mL/minute 2000 В. 30 In 500 mL/min 1996 С. mL/minute 30 In 500 D. 6000 mL/minute 200 Е. 30 In 500 mL/min

4. A company has a total of 500 light bulbs that are 100 watts each. The cost for electricity is 0.18 cents per kilowatt-hour. If all the bulbs are on 24 hours a day for 30 days, how much will the cost be?

8.3 = 14.5 + 5x Ox=-11.2 Ox= -1.24 O x = 1.24 O x = 11.2 %3D

since your only allowed to answer in 3 sub parts please answers questions 2 at a time in each subpart please !!!       4.The average distance from Earth to everyone's favorite dwarf planet, Pluto, is 3.27 billion miles. At the speed of 25,054 miles per hour, how long would it take to reach Pluto? Give your answer in years.    5.Space travel is expensive! For their trip to the Moon, the Apollo astronauts' living quarters were only 213 cubic feet (that's smaller than a typical small bathroom in a house). How many dollar bills could fit in there?   A dollar bill's dimensions are: length: 6.14 inches, width: 2.61 inches, thickness: 0.0043 inches   6.The current US debt as of 8/23/21 was about $28.7 trillion. Calculate how far a stack of dollar bills in this amount would reach in miles. Assume the dollar bills are being stacked laying flat. show your work. Make sure to include units in your work   7.The current US debt as of 8/31/20 was about $26.7 trillion. Using the distance you found in…

At a local fast food joint, cars arrive randomly at a rate of 12 every 30 minutes. The fast food joint takes exactly 2 minutes (this is constant). The average total time in the system is     6.0 minutes.     8.0 minutes.     5.4 minutes.     2.5 minutes.

How many possible combinations of grams of protein and fat (or `p` and `f`) would add up to 60 calories?