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- A blood pressure measurement consists of two numbers: the systolic pressure, which is the maximum pressure taken when the heart is contracting, and the diastolic pressure, which is the minimum pressure taken at the beginning of the heartbeat. Blood pressures were measured, in millimeters of mercury (mmHg), for a sample of 10 adults. The following table presents the results. ---Predict the diastolic pressure for a patient whose systolic pressure is 145 millimeters. Round the answer to one decimal place.On May 15th , Alberto rented a car with a full tank of gas and 10,496 mi on the odometer. On May 22nd , he returned the car with 10,664 mi on the odometer. The rental agency charged Alberto $238 and needed 12 gal of gas to fill up the tank. Assume that the pickup time was later in the day than the return time so that no late fees were applied. a. Find the car's rate of gas consumption in miles per gallon to the neares gallon. b. Find the average cost in dollars per day. c. Find the average rate of travel in miles per day. a. The car's rate of consumption is (enter your response here) miles per gallon of gas. b. The agency charged Alberto $ (enter your response here) per day for the car. c. Alberto traveled (enter your response here) miles per day.8.- Solve.... by variation of parameters Note:In the image, this is the original exercise, it is in Spanish, but it is easy to understand.
- Choose a quantity to be represented by a variable, then write a mathematical expression for each. Do not solve. 1. A three-digit number whose hundreds digit is half the tens digit and the tens digit is 2 more than the units digit 2. The total interest earned after one year when Php 100 000 is invested, part of 6% annual interest rate and the remaining part at 7.5% annual interest rate 3. The distance travelled by a man driving at the rate of 60 kph 4. The total distance travelled by a boat 1 hour upstream and 30 minutes downstream in which the rate of current is 3 kph 5. The fraction of work done by a man who can finish a job in 2 hours 6. The percentage of alcohol in a mixture of 3/4 liter of pure water and x liters of 8% alcohol solution 7. The age of a woman 15 years agoA student has measured a solution using a graduated cylinder of 2.0 Litres. The uncertainty of the graduated cylinder is +/- 0.1 The % error was found to be 5% The student then decides to convert 2.0 Litres into mL which in doing so grants 2000 mL. By doing this, the uncertainty of the cylinder would be then +/- 100. The % error will also be 5% Is this correct, if so explain your reasoning.13. A 10-mL graduate weighs 42.745 g. When 5 mL of distilled water is measured in it, the combined weight of the graduate and water is 47.675 g. By definition, 5 mL of water should weigh 5 g. Calculate the weight of the measured water and express any deviation from 5 g as a percentage of error. 14. A graduate weighs 35.825 g. When 10 mL of water is measured in it, the weight of the graduate and water is 45.835 g. Calculate the weight of water, and express any deviation from 10 g as a percentage of error. 15. A pharmacist attempts to weigh 0.375 g of morphine sulfate on a balance of dubious accuracy. When checked on a highly accurate balance, the weight is found to be 0.400 g. Calculate the percentage of error in the first weighing.
- Choose a quantity to be represented by a variable, then write a mathematical expression for each. Do not solve. 10. The sum of three consecutive even integers 11. A three-digit number whose hundreds digit is twice the tens digit and the tens digit is 3 more that the units digit 12. The total peso value of 20 coins consisting of P5-coins and P10-coins 13. The total distance travelled by a boat 30 minutes upstream and 25 minutes downstream in which then rate of the current is 2 kph 14. The fraction of work done by a man who can finish a job in 3 hours and 20 minutes 15. The percentage of alcohol in a mixture formed by combining 1 liter of pure water and x liters of 40% alcohol solutionA microbiologist wants to estimate the concentration of a certain type of bacterium in a waste-water sample. She puts a 0.5 mL sample of the wastewater on a microscope slide and counts 39 bacteria. Estimate the concentration of bacteria, per mL, in this wastewater, and find the uncertainty in the estimate.4.- Determine the general solution at: Note:In the image, this is the original exercise, it is in Spanish, but it is easy to understand.
- 6. When Paul crossed the finish line of a 60 meter race, he was ahead of Robert by 10 meters and ahead of Sam by 20 meters. Suppose Robert and Sam continue to race to the finish line without changing their rates of speed. By how many meters will Robert beat Sam?Show how you reached the final answer An ectopic pregnancy is twice as likely if a woman smokes cigarettes. If 25%of women of childbearing age are smokers, what fraction of ectopic pregnanciesoccur to smokers?How long will it take people searching for a parking space to realize that they will have to walk a bit to get to the stores? An experiment was set up on a crowded day at a mall. Parking spots close to the stores were filled but on the outskirts of the lot, there were plenty of open spots. When random drivers entered the lot, they were timed as to the amount of time before they realized that they had to park far away from the stores. 55 men took an average of 195 seconds with a standard deviation of 27 seconds. 83 women took an average of 176 seconds with a standard deviation of 43 seconds. Test the premise at the 5% level that men and women will drive around different amount of times before they realize they have to park far away from the stores. What type of error (type 1 or type 2) could you have committed? Explain it in the context of the problem.