
Refer to Problem 77. In getting my swimming pool ready for summer, I usually buy the following supplies. Use rounding to estimate the total cost: 8 boxes of baking soda at 89 cents per box; 20 gallons of bleach at $1.29 for 96 ounces; 8 pounds of chlorine stabilizer at $11.99 for a 4-pound bottle; and four 24-can cases of refreshments at 60 cents per can.
77. One of the most valuable uses of estimation is to roughly keep track of the total cost of items when shopping. Use rounding to estimate the total cost of the following items at a grocery store: 4 cans of green beans at 79 cents each; 8 cups of yogurt at 49 cents each; a 29-ounce steak at $5.80 per pound; 4 energy drinks at $1.29 each; and 100 ounces of mineral water at $3.08 per gallon. (Hint: You may need to look up conversions for units of weight and volume.)

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Chapter 1 Solutions
Math in Our World
- Good Day, assist me with plotting the following. I've already calculated the System Average Interruption Duration Index and System Average Interruption Frequency Index. using this data Create time series plots form the reliability metrics SAIDI and SAIFI along with thetrend lines based on the linear regression SAIDI(MINUTES) SAIFI(Interruptions) 2.58 0.045 2.94 0.056 2.32 0.056 3.21 0.177 2.78 0.180 2.72 0.121 2.44 0.119 3.19 0.175 2.21 0.065 2.30 0.135 3.49 0.128 3.60 0.112 2.15 0.104 3.75 0.055 3.12 0.036 2.85 0.123 2.62 0.173 3.08 0.047 1.92 0.040 2.94 0.147arrow_forwardSolve the integral.thanksarrow_forwardFind the antiderivative for each function when C equals 0. Check your answers by differentiation. 2 (a) h(x) = 3x - 1 3 2 - 4 dy+, - 3 3 (c) k(x) = X (b) g(x) = 3x (a) H(x) = (b) G(x) = (c) K(x) =arrow_forward
- find integral of curves dx/(x + y) = dy/(x + y) = dz/−(x + y + 2z)arrow_forwardConsider the integral X -dx with n = 4. a. Find the trapezoid rule approximations to the integral using n and 2n subintervals. b. Find the Simpson's rule approximation to the integral using 2n subintervals. c. Compute the absolute errors in the trapezoid rule and Simpson's rule with 2n subintervals. a. What is the trapezoid approximation with n subintervals? T(4)=(Round to six decimal places as needed.) What is the trapezoid approximation with 2n subintervals? T(8) = (Round to six decimal places as needed.) b. What is the Simpson's rule approximation with 2n subintervals? S(8)=(Round to six decimal places as needed.) c. What is the error in the trapezoid rule approximation with 2n subintervals? (Round to six decimal places as needed.) What is the error in the Simpson's rule approximation with 2n subintervals? (Round to six decimal places as needed.)arrow_forward00 fe Suppose that the probability that a particular computer chip fails after t = a hours of operation is 0.00004 0.00004 dt. a a. Find the probability that the computer chip fails after 16.000 hr of operation (that is, the chip lasts at least 16,000 hr). b. Of the chips that are still in operation after 16,000 hr, what fraction of these will operate for at least another 16,000 hr? c. Evaluate 0.00004 Se -0.000041 dt and interpret its meaning. a. The probability that the chip fails after 16,000 hr of operation is (Round to three decimal places as needed.) b. The fraction that will still be operating for at least another 16.000 hr is (Round to three decimal places as needed.) c. Choose the correct answer below. OA. The probability that the chip never fails is 0.00004 -0.00004t dt= OB. The probability that the chip eventually fails is 0.00004 S 0.00004 dt = dt= -0.000041 dt= OC. The probability that the chip fails immediately is 0.00004 OD. There is not enough information to interpret…arrow_forward
- Find the volume of the described solid of revolution or state that it does not exist. The region bounded by f(x) = (x-5) and the x-axis on the interval (5,7] is revolved about the x-axis. Find the volume or state that it does not exist. Select the correct answer and, if necessary, fill in the box to complete your choice. OA. The volume is cubic units. (Type an exact answer.) OB. The volume does not exist.arrow_forwardUse the reduction formulas in a table of integrals to evaluate Sx³e 3 18x dx. Click here to view basic integrals. Click here to view trigonometric integrals. Click here to view √x³e 18x dx = ☐arrow_forwardEvaluate the following integral using trigonometric substitution. 2√√3 x² √16-x - dx What substitution will be the most helpful for evaluating this integral? A. x=4 sec 0 OB. x=4 sin 0 OC. x=4 tan 0 Rewrite the given integral using this substitution. 2√√3 X 2 dx= de 0 √16-x (Type exact answers.) Evaluate the integral. 2√3 0 2 x² √16-x 2 dx = (Type an exact answer.)arrow_forward
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL


