Basic Technical Mathematics with Calculus (11th Edition)
11th Edition
ISBN: 9780134437736
Author: Allyn J. Washington, Richard Evans
Publisher: PEARSON
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Chapter 9.6, Problem 21E
To determine
The distance of the vacuum cleaner from its starting point using law of cosines.
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Variable Temperature (X) Coffees sold (Y)
Mean 35.08 29,913
Standard Deviation 16.29 12,174
Correlation -0.741
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Chapter 9 Solutions
Basic Technical Mathematics with Calculus (11th Edition)
Ch. 9.1 - For the vectors in Example 2, show that R = B + C...Ch. 9.1 - Prob. 2PECh. 9.1 - Prob. 1ECh. 9.1 - Prob. 2ECh. 9.1 - Prob. 3ECh. 9.1 - Prob. 4ECh. 9.1 - Prob. 5ECh. 9.1 - Prob. 6ECh. 9.1 - Prob. 7ECh. 9.1 - Prob. 8E
Ch. 9.1 - Prob. 9ECh. 9.1 - Prob. 10ECh. 9.1 - Prob. 11ECh. 9.1 - Prob. 12ECh. 9.1 - Prob. 13ECh. 9.1 - Prob. 14ECh. 9.1 - Prob. 15ECh. 9.1 - In Exercises 15–18, draw the given vectors and...Ch. 9.1 - Prob. 17ECh. 9.1 - In Exercises 15–18, draw the given vectors and...Ch. 9.1 - Prob. 19ECh. 9.1 - Prob. 20ECh. 9.1 - Prob. 21ECh. 9.1 - Prob. 22ECh. 9.1 - Prob. 23ECh. 9.1 - In Exercises 19–40, find the indicated vector sums...Ch. 9.1 - Prob. 25ECh. 9.1 - Prob. 26ECh. 9.1 - Prob. 27ECh. 9.1 - Prob. 28ECh. 9.1 - Prob. 29ECh. 9.1 - Prob. 30ECh. 9.1 - Prob. 31ECh. 9.1 - Prob. 32ECh. 9.1 - Prob. 33ECh. 9.1 - Prob. 34ECh. 9.1 - Prob. 35ECh. 9.1 - Prob. 36ECh. 9.1 - Prob. 37ECh. 9.1 - Prob. 38ECh. 9.1 - In Exercises 19–40, find the indicated vector sums...Ch. 9.1 - Prob. 40ECh. 9.1 - Prob. 41ECh. 9.1 - Prob. 42ECh. 9.1 - Prob. 43ECh. 9.1 - Prob. 44ECh. 9.1 - Prob. 45ECh. 9.1 - Prob. 46ECh. 9.1 - In Exercises 41–48, solve the given problems. Use...Ch. 9.1 - Prob. 48ECh. 9.2 - For the vector in Example 1, change the angle to...Ch. 9.2 - Prob. 2PECh. 9.2 - Prob. 3PECh. 9.2 - Prob. 1ECh. 9.2 - Prob. 2ECh. 9.2 - Prob. 3ECh. 9.2 - Prob. 4ECh. 9.2 - Prob. 5ECh. 9.2 - In Exercises 5–10, find the horizontal and...Ch. 9.2 - Prob. 7ECh. 9.2 - In Exercises 5–10, find the horizontal and...Ch. 9.2 - Prob. 9ECh. 9.2 - In Exercises 5–10, find the horizontal and...Ch. 9.2 - Prob. 11ECh. 9.2 - In Exercises 11–20, find the x- and y-components...Ch. 9.2 - Prob. 13ECh. 9.2 - Prob. 14ECh. 9.2 - Prob. 15ECh. 9.2 - In Exercises 11–20, find the x- and y-components...Ch. 9.2 - Prob. 17ECh. 9.2 - Prob. 18ECh. 9.2 - Prob. 19ECh. 9.2 - In Exercises 11–20, find the x- and y-components...Ch. 9.2 - In Exercises 21–34, find the required horizontal...Ch. 9.2 - In Exercises 21–34, find the required horizontal...Ch. 9.2 - Prob. 23ECh. 9.2 - In Exercises 21–34, find the required horizontal...Ch. 9.2 - Prob. 25ECh. 9.2 - Prob. 26ECh. 9.2 - Prob. 27ECh. 9.2 - In Exercises 21–34, find the required horizontal...Ch. 9.2 - Prob. 29ECh. 9.2 - In Exercises 21–34, find the required horizontal...Ch. 9.2 - Prob. 31ECh. 9.2 - Prob. 32ECh. 9.2 - Prob. 33ECh. 9.2 - Prob. 34ECh. 9.3 - Prob. 1PECh. 9.3 - Prob. 2PECh. 9.3 - Prob. 3PECh. 9.3 - Prob. 1ECh. 9.3 - Prob. 2ECh. 9.3 - Prob. 3ECh. 9.3 - In Exercises 3–6, vectors A and B are at right...Ch. 9.3 - In Exercises 3–6, vectors A and B are at right...Ch. 9.3 - Prob. 6ECh. 9.3 - Prob. 7ECh. 9.3 - Prob. 8ECh. 9.3 - Prob. 9ECh. 9.3 - In Exercises 7–14, with the given sets of...Ch. 9.3 - Prob. 11ECh. 9.3 - Prob. 12ECh. 9.3 - Prob. 13ECh. 9.3 - Prob. 14ECh. 9.3 - Prob. 15ECh. 9.3 - In Exercises 15–32, add the given vectors by...Ch. 9.3 - Prob. 17ECh. 9.3 - Prob. 18ECh. 9.3 - Prob. 19ECh. 9.3 - In Exercises 15–32, add the given vectors by...Ch. 9.3 - Prob. 21ECh. 9.3 - Prob. 22ECh. 9.3 - Prob. 23ECh. 9.3 - In Exercises 15–32, add the given vectors by...Ch. 9.3 - Prob. 25ECh. 9.3 - Prob. 26ECh. 9.3 - In Exercises 15–32, add the given vectors by...Ch. 9.3 - Prob. 28ECh. 9.3 - In Exercises 15–32, add the given vectors by...Ch. 9.3 - In Exercises 15–32, add the given vectors by...Ch. 9.3 - In order to move an ocean liner into the channel,...Ch. 9.3 - In Exercises 15–32, add the given vectors by...Ch. 9.3 - Prob. 33ECh. 9.3 - Prob. 34ECh. 9.3 - Prob. 35ECh. 9.3 - Prob. 36ECh. 9.4 - A ship sails 32.50 mi due east and then turns...Ch. 9.4 - Prob. 2PECh. 9.4 - EXAMPLE 5 Equilibrium—forces on a climber
A 165-lb...Ch. 9.4 - Prob. 1ECh. 9.4 - Prob. 2ECh. 9.4 - Prob. 3ECh. 9.4 - A jet is 115 mi east and 88.3 mi north of Niagara...Ch. 9.4 - Prob. 5ECh. 9.4 - Prob. 6ECh. 9.4 - Prob. 7ECh. 9.4 - Toronto is 650 km at 19.0° north of east from...Ch. 9.4 - Prob. 9ECh. 9.4 - A rocket is launched with a vertical component of...Ch. 9.4 - In testing the behavior of a tire on ice, a force...Ch. 9.4 - To raise a crate, two ropes are attached to its...Ch. 9.4 - A storm front is moving east at 18.0 km/h and...Ch. 9.4 - Prob. 14ECh. 9.4 - Prob. 15ECh. 9.4 - Prob. 16ECh. 9.4 - In an automobile safety test, a shoulder and seat...Ch. 9.4 - Prob. 18ECh. 9.4 - A plane flies at 550 km/h into a head wind of 60...Ch. 9.4 - A ship’s navigator determines that the ship is...Ch. 9.4 - Prob. 21ECh. 9.4 - Prob. 22ECh. 9.4 - Prob. 23ECh. 9.4 - On a mountain trek, a pack mule becomes obstinate...Ch. 9.4 - Prob. 25ECh. 9.4 - Prob. 26ECh. 9.4 - Prob. 27ECh. 9.4 - A mine shaft goes due west 75 m from the opening...Ch. 9.4 - Prob. 29ECh. 9.4 -
A scuba diver’s body is directed downstream at...Ch. 9.4 - Prob. 31ECh. 9.4 - Prob. 32ECh. 9.4 - Prob. 33ECh. 9.4 - Prob. 34ECh. 9.4 - A plane is moving at 75.0 m/s, and a package with...Ch. 9.4 - Prob. 36ECh. 9.4 - Prob. 37ECh. 9.4 - Prob. 38ECh. 9.5 - Prob. 1PECh. 9.5 - Prob. 2PECh. 9.5 - Prob. 3PECh. 9.5 - Prob. 1ECh. 9.5 - Prob. 2ECh. 9.5 - In Exercises 3–20, solve the triangles with the...Ch. 9.5 - In Exercises 3–20, solve the triangles with the...Ch. 9.5 - In Exercises 3–20, solve the triangles with the...Ch. 9.5 - In Exercises 3–20, solve the triangles with the...Ch. 9.5 - In Exercises 3–20, solve the triangles with the...Ch. 9.5 - In Exercises 3–20, solve the triangles with the...Ch. 9.5 - In Exercises 3–20, solve the triangles with the...Ch. 9.5 - In Exercises 3–20, solve the triangles with the...Ch. 9.5 - In Exercises 3–20, solve the triangles with the...Ch. 9.5 - In Exercises 3–20, solve the triangles with the...Ch. 9.5 - In Exercises 3–20, solve the triangles with the...Ch. 9.5 - Prob. 14ECh. 9.5 - Prob. 15ECh. 9.5 - Prob. 16ECh. 9.5 - Prob. 17ECh. 9.5 - Prob. 18ECh. 9.5 - Prob. 19ECh. 9.5 - Prob. 20ECh. 9.5 - A small island is approximately a triangle in...Ch. 9.5 - A boat followed a triangular route going from dock...Ch. 9.5 - The loading ramp at a delivery service is 12.5 ft...Ch. 9.5 - In an aerial photo of a triangular field, the...Ch. 9.5 - The Pentagon (headquarters of the U.S. Department...Ch. 9.5 - Prob. 26ECh. 9.5 - Prob. 27ECh. 9.5 - Prob. 28ECh. 9.5 - Prob. 29ECh. 9.5 - When an airplane is landing at an 8250-ft runway,...Ch. 9.5 - Find the total length of the path of the laser...Ch. 9.5 - Prob. 32ECh. 9.5 - Prob. 33ECh. 9.5 - Prob. 34ECh. 9.5 - Prob. 35ECh. 9.5 - Prob. 36ECh. 9.5 - Prob. 37ECh. 9.5 - Prob. 38ECh. 9.6 - Prob. 1PECh. 9.6 - Prob. 2PECh. 9.6 - Prob. 1ECh. 9.6 - Prob. 2ECh. 9.6 - In Exercises 3–20, solve the triangles with the...Ch. 9.6 - In Exercises 3–20, solve the triangles with the...Ch. 9.6 - In Exercises 3–20, solve the triangles with the...Ch. 9.6 - Prob. 6ECh. 9.6 - In Exercises 3–20, solve the triangles with the...Ch. 9.6 - In Exercises 3–20, solve the triangles with the...Ch. 9.6 - Prob. 9ECh. 9.6 - Prob. 10ECh. 9.6 - Prob. 11ECh. 9.6 - Prob. 12ECh. 9.6 - Prob. 13ECh. 9.6 - Prob. 14ECh. 9.6 - In Exercises 3–20, solve the triangles with the...Ch. 9.6 - Prob. 16ECh. 9.6 - Prob. 17ECh. 9.6 - In Exercises 3–20, solve the triangles with the...Ch. 9.6 - Prob. 19ECh. 9.6 - Prob. 20ECh. 9.6 - Prob. 21ECh. 9.6 - Prob. 22ECh. 9.6 - Prob. 23ECh. 9.6 - Prob. 24ECh. 9.6 - Prob. 25ECh. 9.6 - Prob. 26ECh. 9.6 - Prob. 27ECh. 9.6 - Prob. 28ECh. 9.6 - Prob. 29ECh. 9.6 - In Exercises 21–40, use the law of cosines to...Ch. 9.6 - Prob. 31ECh. 9.6 - Prob. 32ECh. 9.6 - In Exercises 21–40, use the law of cosines to...Ch. 9.6 - Prob. 34ECh. 9.6 - Prob. 35ECh. 9.6 - Prob. 36ECh. 9.6 - In Exercises 21–40, use the law of cosines to...Ch. 9.6 - Prob. 38ECh. 9.6 - Prob. 39ECh. 9.6 - Prob. 40ECh. 9 - Prob. 1RECh. 9 - Prob. 2RECh. 9 - Prob. 3RECh. 9 - Prob. 4RECh. 9 - Prob. 5RECh. 9 - Prob. 6RECh. 9 - Prob. 7RECh. 9 - Prob. 8RECh. 9 - Prob. 9RECh. 9 - Prob. 10RECh. 9 - Prob. 11RECh. 9 - Prob. 12RECh. 9 - Prob. 13RECh. 9 - Prob. 14RECh. 9 - Prob. 15RECh. 9 - In Exercises 15–22, add the given vectors by using...Ch. 9 - Prob. 17RECh. 9 - Prob. 18RECh. 9 - Prob. 19RECh. 9 - Prob. 20RECh. 9 - Prob. 21RECh. 9 - Prob. 22RECh. 9 - Prob. 23RECh. 9 - Prob. 24RECh. 9 - Prob. 25RECh. 9 - Prob. 26RECh. 9 - Prob. 27RECh. 9 - Prob. 28RECh. 9 - Prob. 29RECh. 9 - Prob. 30RECh. 9 - Prob. 31RECh. 9 - Prob. 32RECh. 9 - Prob. 33RECh. 9 - Prob. 34RECh. 9 - Prob. 35RECh. 9 - Prob. 36RECh. 9 - Prob. 37RECh. 9 - Prob. 38RECh. 9 - Prob. 39RECh. 9 - Prob. 40RECh. 9 - Prob. 41RECh. 9 - In Exercises 41–74, solve the given problems.
42....Ch. 9 - Prob. 43RECh. 9 - Prob. 44RECh. 9 - Prob. 45RECh. 9 - Prob. 46RECh. 9 - Prob. 47RECh. 9 - Prob. 48RECh. 9 - Prob. 49RECh. 9 - Prob. 50RECh. 9 - Prob. 51RECh. 9 - Prob. 52RECh. 9 - In Exercises 41–74, solve the given...Ch. 9 - Prob. 54RECh. 9 - Prob. 55RECh. 9 - Prob. 56RECh. 9 - Prob. 57RECh. 9 - Prob. 58RECh. 9 - Prob. 59RECh. 9 - Prob. 60RECh. 9 - Prob. 61RECh. 9 - Prob. 62RECh. 9 - Prob. 63RECh. 9 - Prob. 64RECh. 9 - Prob. 65RECh. 9 - Prob. 66RECh. 9 - Prob. 67RECh. 9 - Prob. 68RECh. 9 - Prob. 69RECh. 9 - Prob. 70RECh. 9 - Prob. 71RECh. 9 - Prob. 72RECh. 9 - Prob. 73RECh. 9 - Prob. 74RECh. 9 - Prob. 75RECh. 9 - Prob. 1PTCh. 9 - Prob. 2PTCh. 9 - Prob. 3PTCh. 9 - Prob. 4PTCh. 9 - Prob. 5PTCh. 9 - Prob. 6PTCh. 9 - Prob. 7PTCh. 9 - Prob. 8PTCh. 9 - Prob. 9PTCh. 9 - Prob. 10PTCh. 9 - Prob. 11PT
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- Variable Bone loss (Y) Age (X) Mean 35.008. 67.992 Standard Deviation 7.684 10.673 Correlation 0.574arrow_forward50 Bone Loss 30 40 20 Scatterplot of Bone Loss vs. Age . [902) 10 50 60 70 80 90 Age a sub adi u xinq (20) E 4 adw I- nyd med ivia .0 What does a scatterplot that shows no linear relationship between X and Y look like?arrow_forwardVariable Temperature (X) Coffees sold (Y) Mean 35.08 29,913 Standard Deviation 16.29 12,174 Correlation -0.741arrow_forward
- 2 Find and interpret the value of r² for the rainfall versus corn data, using the table from Question 14.2291992 b sgen gnome vixists 992 ms up? 2910 1999 bio .blos estos $22 tolqis2 qs rieds ni zoti swoH iisqa vilsen od 1'meo DOV to mogers boangas mus jil Reustar enou Leption20th ) abnuin Hagodt graub 032 Carrow_forward18 Using the results from the rainfall versus corn production data in Question 14, answer oy the following: DOY 98 103 LA Find and interpret the slope in the con- text of this problem. b. Find the Y-intercept in the context of this problem. roy gatiigisve Toy c. Can the Y-intercept be interpreted here? (.ob o grinisq blo eiqmaxs as 101 galwollol edt 998 ds most notamotni er griau sib 952) siqmaxs steb godt llaw worl pun MAarrow_forwardVariable mean standard variation correlation temperature(X) 35.08 16.29. -0,741 coffees sold(Y). 29,913. 12.174.arrow_forward
- 12 ம் Y si to no 1672 1 A medical researcher measures bone density and the age of 125 women; you can see the o lesummary of statistics in the following table. (See the figure in Question 2 for a scatterplot of this data.) a. How well will a line fit this data? b. Find the equation of the best fitting regression line. Variable Mean Standard Correlation Deviation Bone loss (Y) 35.008 7.684 0.574 A Age (X) 19 67.992 10.673 T in send art lo (d) sqala sala bolt 3 esmit sqola ad garrow_forwardIn a study of 70 undergraduate students and 47 graduate students, the undergraduates had a mean reported number of hours sleeping of 6.0998 with a standard deviation of 1.1085 hrs. The graduate students had a mean of 6.6255 hours with a standard deviation of 1.8992 hours. Use StatCrunch and a significance level of 0.05 to run the t-test. What is the test statistic? What is the p-value associated with that test statistic? Give the most appropriate conclusion in context There is not evidence to reject the claim that undergraduates sleep the less than graduate students. There is evidence to support the claim that undergraduates sleep less than graduate students. We accept the claim that undergraduates sleep less than graduate students. Undergraudates sleep the same amount of time as graduate students.arrow_forward1 14 Agricultural scientists try to predict corn sed production by using annual rainfall. They measure crop yields (bushels per acre) and besnil annual rainfall (inches) for 150 one-acre Xlo plots; you can see the summary of statistics to sgn in the following table. sulay X a. lg noy nativ Identify the X variable and the Y variable in this problem. b. Find and try to interpret the slope in the en adi gnis context of corn and rainfall. (More prac- qo X to tice on interpretation in the next section.) 6 Variable Mean Standard Correlation Deviation remis Rainfall 47.844 47.844 9.38 9.38 0.608 Corn 150.77 19.76 itsch mot sugiterü gizl e di mot) moldong signers dziw Y bas Xgnitis"arrow_forward
- 14 Agricultural scientists try to predict corn dm production by using annual rainfall. They sb measure crop yields (bushels per acre) and annual rainfall (inches) for 150 one-acre plots; you can see the summary of statistics ag in the following table. solv a. Identify the X variable and the Y variable in this problem. b. Find and try to interpret the slope in the or gris context of corn and rainfall. (More prac- 03 X to tice on interpretation in the next section.) gob 11.Y to smontuo ed i sad s 6 Variable Mean Standard Deviation Correlation niroq Rainfall 47.844 do no 47.844 9.38 0.608 10 Corn 150.77 19.76 to s fods about sugi orgiearrow_forward13 A wol number of putts hit for 100 rounds of golf an amateur plays; you can see the summary of guig statistics in the following table. (See the anteu figure in Question 3 for a scatterplot of this nobis data.) moitoloqorxs bel nedW Diplogos bello al silos a. Is it reasonable to use a line to fit this data? Explain. b. Find the equation of the best fitting pl97 1590 regression line. zazumɔ X ni ogrados em noob Y to sul Variablem Mean Standard Correlation E Deviation 870 Total score (Y) 93.900 7.717 0.896 1211 Putts hit (X) 35.780 4.554 tot anolinibong solam riss uoy X to asulsy doldw grib onil edi 08,080.0 xl notion ofT.A od? How atharrow_forwardbropupme 7 Using the toddler data table in Question 1, describe the toddlers in the sample with joint101 probabilities only. It TOTAL: 4+24+2+12=42 (mn LH) 4/42 = 2/21=0.0952 adrat aoismet to nothogong ad d zon xe jooge fox (D) rots (300): 60 erit 15:arrow_forward
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