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question:What information should be included in the axis labels of a histogram when analyzing the amount of coffee consumed by college students in the morning before their classes?
answer:The axis labels on your histogram should be as follows: - The x-axis (horizontal) should be labeled "Time of Day" to represent different morning time intervals when students typically consume coffee. - The y-axis (vertical) should be labeled "Amount of Coffee Consumed (in mg)" to indicate the quantity of coffee consumed within each time interval. By using these labels, you will provide a clear and informative visualization of the data for your analysis.
question:What is the average number of attempts required to find a 12-digit safe prime number?
answer:For 12 digits, about one number in log(3cdot 10^{11}) approx 25 is prime. If we limit ourselves to numbers of the form 6k+1 or 6k+5, about one in 8 is prime. Therefore, it would take about 8 cdot 25 = 200 tries, on average, to find a 12-digit safe prime number.
question:How do fluctuations in the supply of oil impact the price of oil?
answer:When the supply of oil decreases, it results in a situation where there is not enough oil to meet the existing demand. This imbalance between supply and demand causes the price of oil to rise, as consumers are willing to pay more to secure the limited available resources. Conversely, an increase in oil supply can lead to lower prices, as the market becomes less competitive due to the abundance of oil.
question:How many atoms are present in 8.00 moles of carbon dioxide (#CO_2#) molecules?
answer:There are #1.45 * 10^(25)# atoms in total. Explanation: Each molecule of carbon dioxide, #CO_2#, consists of: - 1 atom of carbon (C) - 2 atoms of oxygen (O) Therefore, each mole of carbon dioxide contains: - 1 mole of carbon atoms - 2 moles of oxygen atoms So, in 8.00 moles of #CO_2#, there are: 8.00 moles * (1 mole C + 2 moles O) = 8.00 moles * 3 moles of atoms = 24.0 moles of atoms To convert moles to atoms, we use Avogadro's constant: 24.0 moles * (6.022 * 10^(23) atoms/mole) = #1.45 * 10^(25)# atoms The final answer, rounded to three significant figures, is #1.45 * 10^(25)# atoms.