Elementary Technical Mathematics
12th Edition
ISBN: 9781337630580
Author: Dale Ewen
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 6.9, Problem 24E
To determine
To Calculate: The value of
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
If X is a continuous random variable
having pdf as shown. Find a) the constant k
b) P(X>1) c) X, X², 0%, standard deviation.
n(x)
k
-2
-1
0
1 2
What is one sample T-test? Give an example of business application of this test?
What is Two-Sample T-Test. Give an example of business application of this test?
.What is paired T-test. Give an example of business application of this test?
What is one way ANOVA test. Give an example of business application of this test?
1. One Sample T-Test: Determine whether the average satisfaction rating of customers for a product is significantly different from a hypothetical mean of 75.
(Hints: The null can be about maintaining status-quo or no difference; If your alternative hypothesis is non-directional (e.g., μ≠75), you should use the two-tailed p-value from excel file to make a decision about rejecting or not rejecting null. If alternative is directional (e.g., μ < 75), you should use the lower-tailed p-value. For alternative hypothesis μ > 75, you should use the upper-tailed p-value.)
H0 =
H1=
Conclusion: The p value from one sample t-test is _______. Since the two-tailed p-value…
Decomposition geometry:
Mary is making a decorative yard space with dimensions as shaded in green (ΔOAB).Mary would like to cover the yard space with artificial turf (plastic grass-like rug). Mary reasoned that she could draw a rectangle around the figure so that the point O was at a vertex of the rectangle and that points A and B were on sides of the rectangle. Then she reasoned that the three smaller triangles resulting could be subtracted from the area of the rectangle. Mary determined that she would need 28 square meters of artificial turf to cover the green shaded yard space pictured exactly.
Chapter 6 Solutions
Elementary Technical Mathematics
Ch. 6.1 - Solve each equation and check: x+2=8Ch. 6.1 - Prob. 2ECh. 6.1 - Prob. 3ECh. 6.1 - Solve each equation and check: 23n=6Ch. 6.1 - Solve each equation and check: w712=3Ch. 6.1 - Prob. 6ECh. 6.1 - Solve each equation and check: x13=1.5Ch. 6.1 - Solve each equation and check: n+12=5Ch. 6.1 - Solve each equation and check: 3b=15.6Ch. 6.1 - Solve each equation and check: y17=25
Ch. 6.1 - Prob. 11ECh. 6.1 - Prob. 12ECh. 6.1 - Solve each equation and check: 2=x5Ch. 6.1 - Prob. 14ECh. 6.1 - Solve each equation and check: 17=3+wCh. 6.1 - Solve each equation and check: 49=32+wCh. 6.1 - Solve each equation and check: 14b=57Ch. 6.1 - Prob. 18ECh. 6.1 - Prob. 19ECh. 6.1 - Prob. 20ECh. 6.1 - Solve each equation and check: x+5=5Ch. 6.1 - Prob. 22ECh. 6.1 - Prob. 23ECh. 6.1 - Solve each equation and check: 5x125=0Ch. 6.1 - Solve each equation and check: x7=56Ch. 6.1 - Prob. 26ECh. 6.1 - Prob. 27ECh. 6.1 - Prob. 28ECh. 6.1 - Solve each equation and check: x=2Ch. 6.1 - Prob. 30ECh. 6.1 - Prob. 31ECh. 6.1 - Prob. 32ECh. 6.1 - Solve each equation and check: 103x=16Ch. 6.1 - Prob. 34ECh. 6.1 - Prob. 35ECh. 6.1 - Solve each equation and check: x5+4=9Ch. 6.1 - Solve each equation and check: 2x=6Ch. 6.1 - Prob. 38ECh. 6.1 - Prob. 39ECh. 6.1 - Prob. 40ECh. 6.1 - Solve each equation and check: 3x5=12Ch. 6.1 - Prob. 42ECh. 6.1 - Prob. 43ECh. 6.1 - Prob. 44ECh. 6.1 - Solve each equation and check: 2x3=7Ch. 6.1 - Prob. 46ECh. 6.1 - Prob. 47ECh. 6.1 - Solve each equation and check: 28=73rCh. 6.1 - Solve each equation and check: 5x=6Ch. 6.1 - Prob. 50ECh. 6.1 - Solve each equation and check: 54y13=17.8Ch. 6.1 - Prob. 52ECh. 6.1 - Solve each equation and check: 28w56=8Ch. 6.1 - Prob. 54ECh. 6.1 - Prob. 55ECh. 6.1 - Prob. 56ECh. 6.1 - Solve each equation and check: 313y=41Ch. 6.1 - Prob. 58ECh. 6.1 - Solve each equation and check: 83=174xCh. 6.1 - Solve each equation and check: 58=5m+52Ch. 6.2 - Solve each equation and check: 4y+9=7y15Ch. 6.2 - Solve each equation and check: 2y45=yCh. 6.2 - Solve each equation and check: 5x+3=7x5Ch. 6.2 - Prob. 4ECh. 6.2 - Solve each equation and check: 2x+7=5x21Ch. 6.2 - Prob. 6ECh. 6.2 - Prob. 7ECh. 6.2 - Prob. 8ECh. 6.2 - Solve each equation and check: 3x+17=6x37Ch. 6.2 - Prob. 10ECh. 6.2 - Prob. 11ECh. 6.2 - Solve each equation and check: 5y+12=12y5Ch. 6.2 - Solve each equation and check: 3x2=5x+8Ch. 6.2 - Prob. 14ECh. 6.2 - Solve each equation and check: 4x+25=6x45Ch. 6.2 - Prob. 16ECh. 6.2 - Solve each equation and check: 5x+4=10x7Ch. 6.2 - Solve each equation and check: 3x2=5x20Ch. 6.2 - Solve each equation and check: 27+5x=9+3xCh. 6.2 - Solve each equation and check: 2y+8=5y1Ch. 6.2 - Solve each equation and check: 7x+18=11x36Ch. 6.2 - Prob. 22ECh. 6.2 - Prob. 23ECh. 6.2 - Prob. 24ECh. 6.2 - Solve each equation and check: 4x+2=8x7Ch. 6.2 - Solve each equation and check: 6x1=9x9Ch. 6.2 - Prob. 27ECh. 6.2 - Prob. 28ECh. 6.2 - Solve each equation and check: 3x+1=17xCh. 6.2 - Solve each equation and check: 174y=14yCh. 6.3 - Solve each equation and check: 2(x+3)6=10Ch. 6.3 - Solve each equation and check: 3x+5(x6)=32Ch. 6.3 - Prob. 3ECh. 6.3 - Solve each equation and check: 5m(2m7)=5Ch. 6.3 - Solve each equation and check: 16=3(x4)Ch. 6.3 - Prob. 6ECh. 6.3 - Solve each equation and check: 5a(3a+4)=8Ch. 6.3 - Prob. 8ECh. 6.3 - Solve each equation and check: 5a4(a3)=7Ch. 6.3 - Prob. 10ECh. 6.3 - Prob. 11ECh. 6.3 - Solve each equation and check: 278(2y)=13Ch. 6.3 - Solve each equation and check: 2a(5a7)=22Ch. 6.3 - Prob. 14ECh. 6.3 - Prob. 15ECh. 6.3 - Prob. 16ECh. 6.3 - Solve each equation and check: 3x7+17(1x)=6Ch. 6.3 - Prob. 18ECh. 6.3 - Solve each equation and check: 6b=27+3bCh. 6.3 - Solve each equation and check: 2a+4=a3Ch. 6.3 - Solve each equation and check: 4(25x)=3x+2Ch. 6.3 - Prob. 22ECh. 6.3 - Prob. 23ECh. 6.3 - Prob. 24ECh. 6.3 - Solve each equation and check: 6x+2=2(17x)Ch. 6.3 - Solve each equation and check: 6(17x)=24xCh. 6.3 - Prob. 27ECh. 6.3 - Prob. 28ECh. 6.3 - Solve each equation and check: 3(x+4)+3x=6Ch. 6.3 - Prob. 30ECh. 6.3 - Prob. 31ECh. 6.3 - Prob. 32ECh. 6.3 - Solve each equation and check: 9m3(m5)=7m3Ch. 6.3 - Prob. 34ECh. 6.3 - Prob. 35ECh. 6.3 - Prob. 36ECh. 6.3 - Solve each equation and check: 8(x5)=13xCh. 6.3 - Prob. 38ECh. 6.3 - Prob. 39ECh. 6.3 - Prob. 40ECh. 6.3 - Solve each equation and check:...Ch. 6.3 - Prob. 42ECh. 6.3 - Prob. 43ECh. 6.3 - Prob. 44ECh. 6.3 - Solve each equation and check: 4(y+2)=8(y4)+7Ch. 6.3 - Prob. 46ECh. 6.3 - Solve each equation and check:...Ch. 6.3 - Prob. 48ECh. 6.3 - Solve each equation and check: 12+8(2y+3)=(y+7)16Ch. 6.3 - Prob. 50ECh. 6.3 - Prob. 51ECh. 6.3 - Prob. 52ECh. 6.3 - Prob. 53ECh. 6.3 - Solve each equation and check: 2(5y+1)+16=4+3(y7)Ch. 6.3 - Prob. 55ECh. 6.3 - Prob. 56ECh. 6.3 - Solve each equation and check:...Ch. 6.3 - Prob. 58ECh. 6.3 - Prob. 59ECh. 6.3 - Prob. 60ECh. 6.4 - Solve each equation and check: 2x3=326Ch. 6.4 - Solve each equation and check: 5x7=2014Ch. 6.4 - Prob. 3ECh. 6.4 - Solve each equation and check: 53x=1313Ch. 6.4 - Solve each equation and check: 212x=712Ch. 6.4 - Solve each equation and check: 12+x3=52Ch. 6.4 - Prob. 7ECh. 6.4 - Prob. 8ECh. 6.4 - Solve each equation and check: 34x3=512Ch. 6.4 - Prob. 10ECh. 6.4 - Prob. 11ECh. 6.4 - Solve each equation and check: 2x37=x2Ch. 6.4 - Solve each equation and check: y31=y6Ch. 6.4 - Prob. 14ECh. 6.4 - Solve each equation and check: 3x4720=25xCh. 6.4 - Solve each equation and check: 5x6+13(6+x)=37Ch. 6.4 - Solve each equation and check: x2+23(2x+3)=46Ch. 6.4 - Solve each equation and check: 16x19(2x3)=1Ch. 6.4 - Prob. 19ECh. 6.4 - Prob. 20ECh. 6.4 - Solve each equation and check: 3x24163x1212=3Ch. 6.4 - Prob. 22ECh. 6.4 - Solve each equation and check: 5x+6x814+10x+66=43Ch. 6.4 - Prob. 24ECh. 6.4 - Solve each equation and check: 4x6x+52=6x68Ch. 6.4 - Prob. 26ECh. 6.4 - Prob. 27ECh. 6.4 - Prob. 28ECh. 6.4 - Solve each equation and check: 51x=7Ch. 6.4 - Solve each equation and check: 3x6=8Ch. 6.4 - Prob. 31ECh. 6.4 - Solve each equation and check: 17x=8Ch. 6.4 - Solve each equation and check: 3x8=7Ch. 6.4 - Prob. 34ECh. 6.4 - Prob. 35ECh. 6.4 - Prob. 36ECh. 6.4 - Solve each equation and check: 6x+5=14Ch. 6.4 - Prob. 38ECh. 6.4 - Solve each equation and check: 12x=143x13Ch. 6.4 - Prob. 40ECh. 6.4 - Prob. 41ECh. 6.4 - Solve each equation and check: 8x+14=5x+13Ch. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Prob. 2ECh. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Prob. 4ECh. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Prob. 8ECh. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Prob. 14ECh. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Prob. 19ECh. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Prob. 22ECh. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Translate each phrase or sentence into algebraic...Ch. 6.5 - Prob. 25ECh. 6.6 - A built-in bookcase containing eight book shelves...Ch. 6.6 - Saw a board 8 ft 4 in. long into nine equal...Ch. 6.6 - Separate an order of 256 light fixtures so that...Ch. 6.6 - Distribute $1000 into three parts so that one part...Ch. 6.6 - Distribute $4950 among John, Maria, and Betsy so...Ch. 6.6 - Distribute $4950 among John, Maria, and Betsy so...Ch. 6.6 - A rectangle is twice as long as it is wide. Its...Ch. 6.6 - The length of a rectangle is 4 cm less than twice...Ch. 6.6 - One side of a rectangular yard is bounded by the...Ch. 6.6 - A given type of concrete contains an amount of...Ch. 6.6 - The perimeter of a triangle is 122 ft. The lengths...Ch. 6.6 - Cut a board 20 ft long into three pieces so that...Ch. 6.6 - Cut a 12-ft beam into two pieces so that one piece...Ch. 6.6 - The total cost of three automobile batteries is...Ch. 6.6 - The total cost of 20 boards is $166. One size...Ch. 6.6 - Amy and Kurt earned a total of $512 by working a...Ch. 6.6 - Joyce invests $7500 in two savings accounts. One...Ch. 6.6 - Chuck receives loans totaling $12,000 from two...Ch. 6.6 - Regular milk has 4% butterfat. How many litres of...Ch. 6.6 - How much pure alcohol must be added to 750 mL of a...Ch. 6.6 - Mix a solution that is 30% alcohol with a solution...Ch. 6.6 - Prob. 22ECh. 6.6 - A 12-quart cooling system is checked and found to...Ch. 6.6 - In testing an engine, various mixtures of gasoline...Ch. 6.6 - Assume you have sea water that weighs 64lb/ft3 and...Ch. 6.6 - Prob. 26ECh. 6.6 - Jeff invested $30,000 in a business whereas his...Ch. 6.6 - Prob. 28ECh. 6.6 - Cloth table coverings are to be cut for 8...Ch. 6.6 - How many quarts of water must be added to 3 gal of...Ch. 6.6 - Ground beef that is 90% lean costs 114 times the...Ch. 6.7 - Solve each formula for the given letter: E=IrforrCh. 6.7 - Solve each formula for the given letter: A=bhforbCh. 6.7 - Solve each formula for the given letter: F=maforaCh. 6.7 - Prob. 4ECh. 6.7 - Solve each formula for the given letter: C=dfordCh. 6.7 - Solve each formula for the given letter: V=IRforRCh. 6.7 - Solve each formula for the given letter: V=lwhforwCh. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Solve each formula for the given letter: A=2rhforhCh. 6.7 - Solve each formula for the given letter: C=2rforrCh. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Prob. 12ECh. 6.7 - Solve each formula for the given letter: I=QtfortCh. 6.7 - Prob. 14ECh. 6.7 - Prob. 15ECh. 6.7 - Solve each formula for the given letter: I=EZforZCh. 6.7 - Solve each formula for the given letter: I=VRforRCh. 6.7 - Prob. 18ECh. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Solve each formula for the given letter: R=2PforPCh. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Prob. 22ECh. 6.7 - Prob. 23ECh. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Prob. 26ECh. 6.7 - Prob. 27ECh. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Prob. 30ECh. 6.7 - Prob. 31ECh. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Prob. 34ECh. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Prob. 38ECh. 6.7 - Prob. 39ECh. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Solve each formula for the given letter:...Ch. 6.7 - Solve each formula for the given letter:...Ch. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - Prob. 2ECh. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - Prob. 4ECh. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - Prob. 6ECh. 6.8 - Prob. 7ECh. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - Prob. 10ECh. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - a. Solve for the indicated. b. Then substitute the...Ch. 6.8 - Prob. 20ECh. 6.8 - Prob. 21ECh. 6.8 - The formula for piston displacement is P=cd2SN,...Ch. 6.8 - The length of a cylinder is given by l=Vcd2, where...Ch. 6.8 - A flashlight bulb is connected to a 1.50-V source....Ch. 6.8 - Prob. 25ECh. 6.8 - The volume of a box is given by V=lwh. Find the...Ch. 6.8 - The volume of a cylinder is given by the formula...Ch. 6.8 - The pressure at the bottom of a lake is found by...Ch. 6.8 - The equivalent resistance R of two resistances...Ch. 6.8 - The R value of insulation is given by the formula...Ch. 6.8 - A steel railroad rail expands and contracts...Ch. 6.8 - The inductive reactance, XL, of a coil is given by...Ch. 6.8 - Prob. 33ECh. 6.8 - Prob. 34ECh. 6.8 - Prob. 35ECh. 6.8 - Prob. 36ECh. 6.9 - Use the formula 1R=1R1+1R2 for Exercise 1-6: Given...Ch. 6.9 - Use the formula 1R=1R1+1R2 for Exercise 1-6: Given...Ch. 6.9 - Use the formula 1R=1R1+1R2 for Exercise 1-6: Given...Ch. 6.9 - Prob. 4ECh. 6.9 - Prob. 5ECh. 6.9 - Prob. 6ECh. 6.9 - Prob. 7ECh. 6.9 - Prob. 8ECh. 6.9 - Use the formula 1f=1s0+1si for Exercises 7-10:...Ch. 6.9 - Use the formula 1f=1s0+1si for Exercises 7-10:...Ch. 6.9 - Prob. 11ECh. 6.9 - Prob. 12ECh. 6.9 - Use the formula 1R=1R1+1R2+1R3 for Exercise 11-16:...Ch. 6.9 - Prob. 14ECh. 6.9 - Prob. 15ECh. 6.9 - Prob. 16ECh. 6.9 - Prob. 17ECh. 6.9 - Use the formula 1C=1C1+1C2+1C3 for Exercise 1-22:...Ch. 6.9 - Prob. 19ECh. 6.9 - Prob. 20ECh. 6.9 - Prob. 21ECh. 6.9 - Prob. 22ECh. 6.9 - Prob. 23ECh. 6.9 - Prob. 24ECh. 6 - Solve each equation and check: 2x+4=7Ch. 6 - Prob. 2RCh. 6 - Prob. 3RCh. 6 - Prob. 4RCh. 6 - Prob. 5RCh. 6 - Prob. 6RCh. 6 - Solve each equation and check: 2x+9=5x15Ch. 6 - Prob. 8RCh. 6 - Prob. 9RCh. 6 - Solve each equation and check: 4x+1=4xCh. 6 - Solve each equation and check: 7(x5)=11Ch. 6 - Prob. 12RCh. 6 - Prob. 13RCh. 6 - Solve each equation and check: 6(x+7)5(x+8)=0Ch. 6 - Prob. 15RCh. 6 - Prob. 16RCh. 6 - Solve each equation and check: 2x3=169Ch. 6 - Prob. 18RCh. 6 - Solve each equation and check: 3x4x15=3+x2Ch. 6 - Prob. 20RCh. 6 - Prob. 21RCh. 6 - The length of rectangle is 6 more than twice its...Ch. 6 - Mix a solution that is 60% acid with a solution...Ch. 6 - Solve each formula for the given letter: F=WgforgCh. 6 - Solve each formula for the given letter: P=WAforACh. 6 - Solve each formula for the given letter:...Ch. 6 - Solve each formula for the given letter:...Ch. 6 - Solve each formula for the given letter:...Ch. 6 - Solve each formula for the given letter:...Ch. 6 - Solve each formula for the given letter:...Ch. 6 - Prob. 31RCh. 6 - Prob. 32RCh. 6 - Prob. 33RCh. 6 - Prob. 34RCh. 6 - Solve each equation: x8=6Ch. 6 - Solve each equation: 4x=60Ch. 6 - Prob. 3TCh. 6 - Prob. 4TCh. 6 - Prob. 5TCh. 6 - Solve each equation: 2(x+10)=3(52x)+5Ch. 6 - Solve each equation: 12(3x6)=3(x2)Ch. 6 - Solve each equation: 8x9=56Ch. 6 - Solve each equation: 3x52=x5x10Ch. 6 - Solve each equation: 8x+6=2Ch. 6 - Solve each equation: x225=2x534Ch. 6 - Distribute $2700 among Jose, Maria, and George so...Ch. 6 - How much pure antifreeze must be added to 20 L of...Ch. 6 - Solve P=2(l+2)forlCh. 6 - Solve CT=C1+C2+C3forC2.Ch. 6 - Solve V=lwhforw.Ch. 6 - Given P=I2R,P=480,andl=5.0,findR.Ch. 6 - Given A=h2(a+b),A=260,h=13,anda=15,findbCh. 6 - Given 1C=1C1+1C2,C=20.0FandC2=30.0F,findC1.Ch. 6 - Given 1R=1R1+1R2+1R3,R1=225,R2=475,andR3=925,findRCh. 6 - Prob. 1CRCh. 6 - Prob. 2CRCh. 6 - Write 3.015104 in decimal form.Ch. 6 - Prob. 4CRCh. 6 - Prob. 5CRCh. 6 - Prob. 6CRCh. 6 - Prob. 7CRCh. 6 - Prob. 8CRCh. 6 - Read the measurement shown on the vernier caliper...Ch. 6 - Prob. 10CRCh. 6 - Prob. 11CRCh. 6 - Prob. 12CRCh. 6 - Prob. 13CRCh. 6 - Prob. 14CRCh. 6 - Prob. 15CRCh. 6 - Prob. 16CRCh. 6 - Simplify: (4x3y)(5x+2y)Ch. 6 - Simplify: 215x2y345x3y5Ch. 6 - Prob. 19CRCh. 6 - Prob. 20CRCh. 6 - Prob. 21CRCh. 6 - Prob. 22CRCh. 6 - Prob. 23CRCh. 6 - Prob. 24CRCh. 6 - Prob. 25CRCh. 6 - Prob. 26CRCh. 6 - Prob. 27CRCh. 6 - Prob. 28CRCh. 6 - Prob. 29CRCh. 6 - The perimeter of a rectangle is 30 ft. The width...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- 1. Matrix Operations Given: A = [ 33 ]A-[3-321] -3 B = [342]B-[3-41-2] (a) A² A2 Multiply A× A: -3 = (3 x 32x-3) (3 x 22 x 1) | = |[19–63 |-9-3 -6+21] = A² = 33 33 1-3×3+1x-3) (-3×2+1x1) [12]A2=[3-321][3-321]=[(3×3+2x-3)(-3×3+1x-3)(3×2+2×1)(-3×2+1×1)]=[9-6-9-36+2-6+1 ]=[3-128-5] (b) | A ||A| Determinant of A | A | (3 × 1) (2 x-3)=3+ 6 = 9|A|=(3×1)-(2x-3)=3+6=9 (c) Adjoint of A Swap diagonal elements and change sign of off-diagonals: A = [33], so adj (A) = |¯²]A=[3-321], so adj(A)=[13–23] -3 (d) B-¹B-1 First find | B ||B|: |B | (3x-2)- (1 × -4) = -6 + 4 = −2|B|=(3x-2)-(1x-4)=-6+4=-2 Then the adjoint of B: adj (B) = [² 3 adj(B)=[-24-13] Now, B-1 1 = |B| · adj (B) = 1 [²¯¯³¹³] = [2₂ B 0.5 |B-1=|B|1-adj(B)=-21[-24-13]=[1-20.5-1.5] 2. (a) Matrix Method: Solve (2x + 3y = 6 (2x-3y=14 {2x+3y=62x-3y=14 Matrix form: 22 33-22 = [223-3][xy]=[614] Find inverse of coefficient matrix: Determinant: | M | (2x-3) - (3 x 2) = -6 -6 = -12|M|=(2x-3)-(3×2)=-6-6=-12 Adjoint: adj(M) = [3]adj(M)-[-3-2-32] So…arrow_forwardLet the region R be the area enclosed by the function f(x)= = 3x² and g(x) = 4x. If the region R is the base of a solid such that each cross section perpendicular to the x-axis is an isosceles right triangle with a leg in the region R, find the volume of the solid. You may use a calculator and round to the nearest thousandth. y 11 10 9 00 8 7 9 5 4 3 2 1 -1 -1 x 1 2arrow_forwardUsing the accompanying Accounting Professionals data to answer the following questions. a. Find and interpret a 90% confidence interval for the mean years of service. b. Find and interpret a 90% confidence interval for the proportion of employees who have a graduate degree. view the Accounting Professionals data. Employee Years of Service Graduate Degree?1 26 Y2 8 N3 10 N4 6 N5 23 N6 5 N7 8 Y8 5 N9 26 N10 14 Y11 10 N12 8 Y13 7 Y14 27 N15 16 Y16 17 N17 21 N18 9 Y19 9 N20 9 N Question content area bottom Part 1 a. A 90% confidence interval for the mean years of service is (Use ascending order. Round to two decimal places as needed.)arrow_forward
- Let the region R be the area enclosed by the function f(x) = ex — 1, the horizontal line y = -4 and the vertical lines x = 0 and x = 3. Find the volume of the solid generated when the region R is revolved about the line y = -4. You may use a calculator and round to the nearest thousandth. 20 15 10 5 y I I I | I + -1.5 -1 -0.5 0.5 1 1.5 2 2.5 3 -5 I -10 -15 I + I I T I I + -20 I + -25 I I I -30 I 3.5 4 xarrow_forwardThe joint probability function for the random variables X and Y is y 0 1 2 P(X, Y) = x0 [3/28 9/28 3/281 = 13/14 3/14 2 1/28 0 0 0 Find Mx, My, E(XY), OXY.arrow_forwardIf, based on a sample size of 900,a political candidate finds that 509people would vote for him in a two-person race, what is the 95%confidence interval for his expected proportion of the vote? Would he be confident of winning based on this poll? Question content area bottom Part 1 A 9595% confidence interval for his expected proportion of the vote is (Use ascending order. Round to four decimal places as needed.)arrow_forward
- P(x, y) = {e-(x+y) x≥0, y ≥0 0 otherwise find x, y, x,y JX, 4 буarrow_forwardThe joint density function of two continuous random variables X and Y is: p(x, y) = {Kcos(x- Find (i) the constant K + y) 0 0arrow_forwardplease show all the workarrow_forwardA random variable X has a Gaussian distribution. The mean value of X is 2 and the variance is 4 volts. Compute the following probabilities: a) P(X3) c) P(X<-2) d) P(2arrow_forwardLet X and Y be random variables having joint density function 0≤x≤1,0≤ y ≤ 1 find X, Y, 0, 0, OXY otherwise p(x,y) = {x+yarrow_forwardFind the probability in tossing a fair coin three times, there will appear a) 3 H b)2 H 1T c) 2 T and 1 H d) 3 T.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Sine, Cosine and Tangent graphs explained + how to sketch | Math Hacks; Author: Math Hacks;https://www.youtube.com/watch?v=z9mqGopdUQk;License: Standard YouTube License, CC-BY