27. An airplane's velocity is recorded at 5-minute (min) intervals during a 1-hour (h) period with the following results, in miles per hour: 550, 575, 600, 580, 610, 640, 625, 595, 590, 620, 640, 640, 630 Use Simpson's Rule to estimate the distance traveled during the hour.
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- Determine dimension x to 3 decimal places.A new type of vehicle tires is released on the market with a rate of tire cracking: on average one crack every 2000km. How many tires are expected to have two or more cracks within a distance of 500km?Suppose a group of consumers spend 30% of their disposable income on food, 20% on clothing, and 50% on rent. If over the course of a year the price of food rises 10%, the price of clothing drops 5% and rent rises 15%, what is the average price increase experienced by these consumers?
- The maximum value in this range is 8.48.4 girls. (Round to one decimal place as needed.) The minimum value in this range is 1.71.7 girls. (Round to one decimal place as needed.) Based on the result, is 1 girl in 10 births a significantly low number of girls? Explain. A. Yes, 1 girl is a significantly low number of girls, because 1 girl is below the range of values that are not significant. B. No, 1 girl is not a significantly low number of girls, because 1 girl is within the range of values that are not significant. C. Yes, 1 girl is a significantly low number of girls, because 1 girl is above the range of values that are not significant. D. Not enough information is given.Determine the rate at which the total average number of COVID cases is increasing at x=10 tents and dxdt=1 tent per day, given that if 30 tents are built, the average number of COVID cases per tent will be 7 cases while the average number of cases will increase by 2 per tent for each additional tent on the same area due to overcrowding. Please take note that we are solving for the rates at which the total average number of COVID cases is changing or increasing when there are additional 10 tents in the area due to overcrowding. Additionally, the average number of cases per tent is 7 when there is EXACTLY 30 tents.Goal: You need to determine the dimensions of the land planted with mango trees with the minimum cost of fencing and the rate at which the number of COVID cases is increasing in an emergency field hospital.Determine the rate at which the total average number of COVID cases is increasing at x=10 tents and dxdt=1 tent per day, given that if 30 tents are built, the average number of COVID cases per tent will be 7 cases while the average number of cases will increase by 2 per tent for each additional tent on the same area due to overcrowding.Please take note that we are solving for the rates at which the total average number of COVID cases is changing or increasing when there are additional 10 tents in the area due to overcrowding. Additionally, the average number of cases per tent is 7 when there is EXACTLY 30 tents. Lastly, avoid the use of piecewise functions and fill the blank in the formula below as a clue: Y= x (7+2(___30))
- Use Simpson’s Rule to determine the average temperature in a museum over a 3-h period if the temperatures (in degrees Celsius), recorded at 15-min intervals, areA machine to manufacture fasteners has a setup cost of $1,500 and a unit cost of $0.003 for each fastener manufactured. A newer machine has a setup cost of $1,750 but a unit cost of only $0.0025 for each fastener manufactured. Find the break point. (Round your answer to the nearest whole unit.)i) Compute the value of X in Table 2. ii) Estimate mass that dissolved in the water if the temperature is set at 100 Celcius.
- Suppose that an accelerating car goes from 0 mph to 66.8 mph in five seconds. Its velocity is given in the following table, converted from miles per hour to feet per second, so that all time measurements are in seconds. (Note: 1 mph is 22/15 ft/sec.) Find the average acceleration of the car over each of the first two seconds.The velocity of a car is recorded at half-second intervals (in feet per second). Use the average of the left- and right-endpoint approximations to estimate the total distance traveled during the first 4 s.The edge x of a cube is measured with an error of at most 0.5%.What is the maximum corresponding percentage error in computingthe cube’s surface area?