Prealgebra plus MyLab Math/MyLab Statistics -- Access Card Package (6th Edition) (Tobey Developmental Math Paperback Series)
6th Edition
ISBN: 9780134266336
Author: Jamie Blair, John Tobey Jr., Jeffrey Slater, Jenny Crawford
Publisher: PEARSON
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Chapter 3.2, Problem 22E
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Problem #4
For events E and F, let P(E) = 0.25, P(F) = 0.4 and P(E UF) = 0.55.
a). Find P(EF)
b). Are events E and F dependent or independent? Explain your reasoning.
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Chapter 3 Solutions
Prealgebra plus MyLab Math/MyLab Statistics -- Access Card Package (6th Edition) (Tobey Developmental Math Paperback Series)
Ch. 3.1 - Fill in the blanks. The sum of a number and its...Ch. 3.1 - Fill in the blanks. The sum of two supplementary...Ch. 3.1 - Fill in the blanks. To Solve x6=3, we __________ 6...Ch. 3.1 - Fill in the blanks. To Solve x+6=2, we __________...Ch. 3.1 - Fill in each with the number that gives the...Ch. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Fill in each with the number that gives the...Ch. 3.1 - Prob. 10E
Ch. 3.1 - Prob. 11ECh. 3.1 - Prob. 12ECh. 3.1 - Fill in each with the number that gives the...Ch. 3.1 - Prob. 14ECh. 3.1 - Prob. 15ECh. 3.1 - Fill in each with the number that gives the...Ch. 3.1 - Fill in each with the correct number to solve the...Ch. 3.1 - Prob. 18ECh. 3.1 - Fill in each with the correct number to solve the...Ch. 3.1 - Prob. 20ECh. 3.1 - Prob. 21ECh. 3.1 - Prob. 22ECh. 3.1 - Prob. 23ECh. 3.1 - Prob. 24ECh. 3.1 - Solve and check your solution. a. 18=x+2 b. 18=x2Ch. 3.1 - Prob. 26ECh. 3.1 - Prob. 27ECh. 3.1 - Prob. 28ECh. 3.1 - Prob. 29ECh. 3.1 - Prob. 30ECh. 3.1 - Prob. 31ECh. 3.1 - Prob. 32ECh. 3.1 - Prob. 33ECh. 3.1 - Prob. 34ECh. 3.1 - Prob. 35ECh. 3.1 - Prob. 36ECh. 3.1 - Prob. 37ECh. 3.1 - Prob. 38ECh. 3.1 - Prob. 39ECh. 3.1 - Prob. 40ECh. 3.1 - Simplify and then solve. Check Solution. 4x3x3=8Ch. 3.1 - Prob. 42ECh. 3.1 - Simplify and then solve. Check Solution. 5y4y+1=5Ch. 3.1 - Simplify and then solve. Check Solution. 3y2y+3=1Ch. 3.1 - Prob. 45ECh. 3.1 - Prob. 46ECh. 3.1 - Simplify each side of the equation, then solve the...Ch. 3.1 - Prob. 48ECh. 3.1 - Prob. 49ECh. 3.1 - Simplify each side of the equation, then solve the...Ch. 3.1 - Simplify each side of the equation, then solve the...Ch. 3.1 - Prob. 52ECh. 3.1 - Simplify each side of the equation, then solve the...Ch. 3.1 - Prob. 54ECh. 3.1 - Simplify each side of the equation, then solve the...Ch. 3.1 - Simplify each side of the equation, then solve the...Ch. 3.1 - Find the measure of the unknown angle for each...Ch. 3.1 - Find the measure of the unknown angle for each...Ch. 3.1 - Prob. 59ECh. 3.1 - Prob. 60ECh. 3.1 - Prob. 61ECh. 3.1 - Prob. 62ECh. 3.1 - Prob. 63ECh. 3.1 - Prob. 64ECh. 3.1 - Prob. 65ECh. 3.1 - Prob. 66ECh. 3.1 - Prob. 67ECh. 3.1 - Prob. 68ECh. 3.1 - Prob. 69ECh. 3.1 - Prob. 70ECh. 3.1 - Simplify each side of each equation, then solve...Ch. 3.1 - Prob. 72ECh. 3.1 - Prob. 73ECh. 3.1 - Simplify each side of each equation, then solve...Ch. 3.1 - Prob. 75ECh. 3.1 - Prob. 76ECh. 3.1 - Prob. 77ECh. 3.1 - Translate into symbols. [1.4.2] The product of...Ch. 3.1 - Prob. 79ECh. 3.1 - Translate into symbols. [1.8.4] Double what number...Ch. 3.1 - Prob. 81ECh. 3.1 - Translate into symbols. Replace the ? with the...Ch. 3.1 - Fantasy Basketball Fantasy basketball is a game...Ch. 3.1 - Prob. 84ECh. 3.1 - Prob. 1QQCh. 3.1 - Prob. 2QQCh. 3.1 - a. Translate into symbols. The measure of ais35...Ch. 3.1 - Concept Check To solve the equation 9+x=15, Damien...Ch. 3.2 - Fill in the blanks. To solve the equation 22x=66,...Ch. 3.2 - Fill in the blanks. To solve the equation 16x=64,...Ch. 3.2 - Prob. 3ECh. 3.2 - Fill in each with the number that gives the...Ch. 3.2 - Prob. 5ECh. 3.2 - Fill in each with the number that gives the...Ch. 3.2 - Prob. 7ECh. 3.2 - Prob. 8ECh. 3.2 - Fill in each with the number that gives the...Ch. 3.2 - Prob. 10ECh. 3.2 - Prob. 11ECh. 3.2 - Solve and check your solution. 6x=66Ch. 3.2 - Solve and check your solution. 10x=40Ch. 3.2 - Solve and check your solution. 6y=88Ch. 3.2 - Solve and check your solution. 6y=18Ch. 3.2 - Solve and check your solution. 4a=48Ch. 3.2 - Solve and check your solution. 5m=35Ch. 3.2 - Solve and check your solution. 7y=42Ch. 3.2 - Solve and check your solution. 3y=15Ch. 3.2 - Solve and check your solution. 4x=12Ch. 3.2 - Solve and check your solution. 7a=49Ch. 3.2 - Solve and check your solution. 6y=36Ch. 3.2 - Solve and check your solution. 48=6xCh. 3.2 - Solve and check your solution. 30=3yCh. 3.2 - Solve and check your solution. 72=9xCh. 3.2 - Solve and check your solution. 56=14yCh. 3.2 - Solve and check your solution. 8x=104Ch. 3.2 - Solve and check your solution. 9y=135Ch. 3.2 - Solve and check your solution. 19x=76Ch. 3.2 - Solve and check your solution. 22y=132Ch. 3.2 - Solve and check your solution. 2(3x)=54Ch. 3.2 - Solve and check your solution. 5(2x)=80Ch. 3.2 - Solve and check your solution. 5(4x)=40Ch. 3.2 - Solve and check your solution. 3(2x)=30Ch. 3.2 - Solve and check your solution. 5(x2)=402Ch. 3.2 - Solve and check your solution. 3(x5)=602Ch. 3.2 - Solve and check your solution. 4(x2)=963Ch. 3.2 - Solve and check your solution. 6(x5)=1202Ch. 3.2 - Simplify each side of the equation, then solve....Ch. 3.2 - Simplify each side of the equation, then solve....Ch. 3.2 - Simplify each side of the equation, then solve....Ch. 3.2 - Simplify each side of the equation, then solve....Ch. 3.2 - Simplify each side of the equation, then solve....Ch. 3.2 - Simplify each side of the equation, then solve....Ch. 3.2 - Simplify each side of the equation, then solve....Ch. 3.2 - Simplify each side of the equation, then solve....Ch. 3.2 - Solve and check your solution. 15y=165Ch. 3.2 - Solve and check your solution. 14x=168Ch. 3.2 - Solve and check your solution. 4x=323Ch. 3.2 - Solve and check your solution. 3a=413Ch. 3.2 - Solve and check your solution. 12x4x=56Ch. 3.2 - Solve and check your solution. 15x10=95Ch. 3.2 - Solve and check your solution. 55=5aCh. 3.2 - Solve and check your solution. 44=4yCh. 3.2 - Solve and check your solution. (3x)2=363Ch. 3.2 - Solve and check your solution. (8x)3=482Ch. 3.2 - Solve and check your solution. 9x+3x=120Ch. 3.2 - Solve and check your solution. 7x+3x=90Ch. 3.2 - Dimensions of a building The length (L) of a...Ch. 3.2 - Comparing weights The weight of a steel beam (B)...Ch. 3.2 - Prob. 61ECh. 3.2 - The width (W) of a yard is triple the length (L)....Ch. 3.2 - Cost of Race Boat The cost of a new race boat (R)...Ch. 3.2 - Dimensions of Wood The length of the larger piece...Ch. 3.2 - Tickets sold There were three times as many child...Ch. 3.2 - Write vs. Res Cars There are two times as many...Ch. 3.2 - Soccer Goals The total number of soccer goals...Ch. 3.2 - Prob. 68ECh. 3.2 - Prob. 69ECh. 3.2 - Prob. 70ECh. 3.2 - Distance Traveled On Monday Leah drove x miles on...Ch. 3.2 - Prob. 72ECh. 3.2 - Solve. a. 13x=26 b. 13x=26 c. x+13=26 d. x13=26Ch. 3.2 - Prob. 74ECh. 3.2 - Prob. 75ECh. 3.2 - Solve. a. 9y=72 b. 9y=72 c. y+9=72 d. y9=72Ch. 3.2 - Prob. 77ECh. 3.2 - Prob. 78ECh. 3.2 - Find the value of x for each pair of supplementary...Ch. 3.2 - Prob. 80ECh. 3.2 - Find the value of x for each pair of supplementary...Ch. 3.2 - Prob. 82ECh. 3.2 - [1.2.5] Find the perimeter of a rectangle with a...Ch. 3.2 - Prob. 84ECh. 3.2 - [2.6.2] Evaluate. 2xy for x=7andy=9Ch. 3.2 - Prob. 1QQCh. 3.2 - Prob. 2QQCh. 3.2 - Prob. 3QQCh. 3.2 - Prob. 4QQCh. 3.3 - Prob. 1ECh. 3.3 - Prob. 2ECh. 3.3 - Fill in each blank with the correct formula. a....Ch. 3.3 - Prob. 4ECh. 3.3 - Prob. 5ECh. 3.3 - Prob. 6ECh. 3.3 - Prob. 7ECh. 3.3 - Prob. 8ECh. 3.3 - Prob. 9ECh. 3.3 - Prob. 10ECh. 3.3 - Prob. 11ECh. 3.3 - For each of the following: (a) State the...Ch. 3.3 - Prob. 13ECh. 3.3 - Prob. 14ECh. 3.3 - Find the length and width of each rectangle....Ch. 3.3 - Prob. 16ECh. 3.3 - Find the length and width of each rectangle. a....Ch. 3.3 - Prob. 18ECh. 3.3 - Find the length and width of each rectangle. Floor...Ch. 3.3 - Prob. 20ECh. 3.3 - Prob. 21ECh. 3.3 - Prob. 22ECh. 3.3 - Prob. 23ECh. 3.3 - For each of the following: (a) State the...Ch. 3.3 - Prob. 25ECh. 3.3 - Prob. 26ECh. 3.3 - Find the unknown side of each rectangle.Ch. 3.3 - Prob. 28ECh. 3.3 - Find the unknown measure for each parallelogram.Ch. 3.3 - Prob. 30ECh. 3.3 - Find the area of each shape made of rectanglesCh. 3.3 - Prob. 32ECh. 3.3 - Find the area of each shape made of rectanglesCh. 3.3 - Find the area of each shape made of rectanglesCh. 3.3 - Solve each applied problem. a. How many cubes with...Ch. 3.3 - Prob. 36ECh. 3.3 - Solve each applied problem. Water in a fish tank A...Ch. 3.3 - Prob. 38ECh. 3.3 - Prob. 39ECh. 3.3 - Prob. 40ECh. 3.3 - Prob. 41ECh. 3.3 - For each of the following rectangular solids: (a)...Ch. 3.3 - Find the unknown side of each rectangular solid.Ch. 3.3 - Prob. 44ECh. 3.3 - Prob. 45ECh. 3.3 - Find the perimeter of each shape. A rectangle with...Ch. 3.3 - Prob. 47ECh. 3.3 - Prob. 48ECh. 3.3 - Find the volume of each solid. A rectangular solid...Ch. 3.3 - Prob. 50ECh. 3.3 - Prob. 51ECh. 3.3 - Prob. 52ECh. 3.3 - Find the unknown side of each shape.Ch. 3.3 - Find the unknown side of each shape.Ch. 3.3 - Prob. 55ECh. 3.3 - Prob. 56ECh. 3.3 - Prob. 57ECh. 3.3 - Prob. 58ECh. 3.3 - Prob. 59ECh. 3.3 - Prob. 60ECh. 3.3 - Wood Flooring Loretta has a townhome with a family...Ch. 3.3 - Prob. 62ECh. 3.3 - Prob. 63ECh. 3.3 - Chest Lining One roll of felt material at the...Ch. 3.3 - Painting a Room The walls of Anitas family room...Ch. 3.3 - Painting a Room The walls of Anitas family room...Ch. 3.3 - Find the area of the shaded region.Ch. 3.3 - Prob. 68ECh. 3.3 - Prob. 69ECh. 3.3 - Find the next two figures that would appear in the...Ch. 3.3 - [2.6.3] Simplify 7(x2)Ch. 3.3 - Prob. 72ECh. 3.3 - [1.4.3] Simplify (2)(3x)(5)Ch. 3.3 - [2.3.2] Perform the indicated operations. 8314.Ch. 3.3 - The width of a rectangle is double the length. If...Ch. 3.3 - Find the area of the following shape made of...Ch. 3.3 - A storage facility claims the volume of its...Ch. 3.3 - Prob. 4QQCh. 3.4 - Is 2422=46? Why or why not?Ch. 3.4 - Prob. 2ECh. 3.4 - a. Is 2(3x2)=23+2x2=6+2x2 ? Why or why not? b. Is...Ch. 3.4 - Prob. 4ECh. 3.4 - Fill in the blank. In the algebraic expression...Ch. 3.4 - Prob. 6ECh. 3.4 - Prob. 7ECh. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Prob. 11ECh. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Prob. 13ECh. 3.4 - Write each expression as repeated multiplication...Ch. 3.4 - Write each expression as repeated multiplication...Ch. 3.4 - Write each expression as repeated multiplication...Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Multiply and write the product in exponent form....Ch. 3.4 - Simplify. (4y5)(6y7)Ch. 3.4 - Simplify. (5y3)(3y3)Ch. 3.4 - Simplify. (6a6)(9a8)Ch. 3.4 - Simplify. (6a4)(2a4)Ch. 3.4 - Simplify. (5x)(3x2)Ch. 3.4 - Simplify. (6x)(3x)Ch. 3.4 - Simplify. (4y)(3y)Ch. 3.4 - Simplify. (5y)(4y)Ch. 3.4 - Simplify. (5a)(7a3)(2a6)Ch. 3.4 - Simplify. (3x)(2x4)(4x5)Ch. 3.4 - Simplify. (x)(4x6)(7x5)Ch. 3.4 - Simplify. (4x)(x7)(9x6)Ch. 3.4 - Simplify. (5x)(3y)(2x)Ch. 3.4 - Simplify. (5x)(2y)(7x)Ch. 3.4 - Simplify. (6y)(3x)(3y)Ch. 3.4 - Simplify. (3a)(2b)(4a)Ch. 3.4 - Identify each polynomial as a monomial, binomial,...Ch. 3.4 - Identify each polynomial as a monomial, binomial,...Ch. 3.4 - Simplify. 2x(x2+5)Ch. 3.4 - Simplify. 5y(y2+6)Ch. 3.4 - Simplify. 6x2(3x31)Ch. 3.4 - Simplify. 7x3(2x22)Ch. 3.4 - Simplify. 5y3(y42y)+3y7Ch. 3.4 - Simplify. 7x2(x36x)+2x5Ch. 3.4 - Simplify. 2x3(x2+4x)+5x5Ch. 3.4 - Simplify. 3x2(x3+3x)+6x5Ch. 3.4 - Simplify. (2y5)(6y2)Ch. 3.4 - Simplify. (5x1)(3x2)Ch. 3.4 - Simplify. (2x34x)(3x)Ch. 3.4 - Prob. 66ECh. 3.4 - Write the area of each rectangle as an algebraic...Ch. 3.4 - Write the area of each rectangle as an algebraic...Ch. 3.4 - Write the area of each parallelogram as an...Ch. 3.4 - Write the area of each parallelogram as an...Ch. 3.4 - Write the volume of each rectangular solid as an...Ch. 3.4 - Write the volume of each rectangular solid as an...Ch. 3.4 - Write the perimeter of each rectangle as an...Ch. 3.4 - Write the perimeter of each rectangle as an...Ch. 3.4 - Write the perimeter of each rectangle as an...Ch. 3.4 - Write the perimeter of each rectangle as an...Ch. 3.4 - For each of the following rectangles: (a) Write...Ch. 3.4 - For each of the following rectangles: (a) Write...Ch. 3.4 - Perform the operation indicated. a. 4cd+9cd b....Ch. 3.4 - Perform the operation indicated. a. 5xz+2xz b....Ch. 3.4 - Perform the operation indicated. a. 9ab57ab5 b....Ch. 3.4 - Perform the operation indicated. a. 6y7z3y7z b....Ch. 3.4 - Write the width of each rectangle as an algebraic...Ch. 3.4 - Write the width of each rectangle as an algebraic...Ch. 3.4 - [2.4.4] Divide. 357Ch. 3.4 - [2.4.3] Evaluate. (3)3Ch. 3.4 - [1.5.4] Divide. 20,566312Ch. 3.4 - [1.4.4] Multiply 31,42328Ch. 3.4 - Golf Scores In golf, par is the number of strokes...Ch. 3.4 - Golf Scores In golf, par is the number of strokes...Ch. 3.4 - Multiply. Leave your answer in exponent form. a....Ch. 3.4 - Simplify. a. 6a(a3+8a) b. (x53)(2x2)Ch. 3.4 - Write the area of the following rectangle as an...Ch. 3.4 - Concept Check Explain in words the steps to...Ch. 3 - Write the definition for each word. (3.1) Adjacent...Ch. 3 - Write the definition for each word. (3.1)...Ch. 3 - Write the definition for each word. (3.3) Parallel...Ch. 3 - Write the definition for each word. (3.4)...Ch. 3 - Write the definition for each word. (3.4)...Ch. 3 - Prob. 6RPCh. 3 - Prob. 7RPCh. 3 - Write the definition for each word. (3.4)...Ch. 3 - Prob. 9RPCh. 3 - Prob. 10RPCh. 3 - Prob. 11RPCh. 3 - Prob. 12RPCh. 3 - Prob. 13RPCh. 3 - Prob. 14RPCh. 3 - Prob. 15RPCh. 3 - Prob. 16RPCh. 3 - Prob. 17RPCh. 3 - Prob. 18RPCh. 3 - Prob. 19RPCh. 3 - Prob. 20RPCh. 3 - Prob. 21RPCh. 3 - Prob. 22RPCh. 3 - Prob. 23RPCh. 3 - Prob. 24RPCh. 3 - Prob. 25RPCh. 3 - Prob. 26RPCh. 3 - Prob. 27RPCh. 3 - Prob. 28RPCh. 3 - Prob. 29RPCh. 3 - Blue vs. White Cars There are twice as many white...Ch. 3 - Prob. 31RPCh. 3 - Miles Jogged On Friday Leo jogged x miles for his...Ch. 3 - The perimeter of a triangle is the sum of the...Ch. 3 - Prob. 34RPCh. 3 - Find the area of the square garden.Ch. 3 - Prob. 36RPCh. 3 - Prob. 37RPCh. 3 - Prob. 38RPCh. 3 - Prob. 39RPCh. 3 - Prob. 40RPCh. 3 - Find the length of the unknown side of each...Ch. 3 - Prob. 42RPCh. 3 - Prob. 43RPCh. 3 - Prob. 44RPCh. 3 - Buying Weed Killer The McBeths front yard measures...Ch. 3 - Prob. 46RPCh. 3 - Prob. 47RPCh. 3 - Multiply and leave your answer in exponent form....Ch. 3 - Prob. 49RPCh. 3 - Prob. 50RPCh. 3 - Multiply and leave your answer in exponent form....Ch. 3 - Prob. 52RPCh. 3 - Prob. 53RPCh. 3 - Multiply and leave your answer in exponent form....Ch. 3 - Prob. 55RPCh. 3 - Prob. 56RPCh. 3 - Multiply and leave your answer in exponent form....Ch. 3 - Multiply and leave your answer in exponent form....Ch. 3 - Prob. 59RPCh. 3 - Identify each polynomial as a monomial, binomial,...Ch. 3 - Identify each polynomial as a monomial, binomial,...Ch. 3 - Use the distributive property to simplify. x(x2+3)Ch. 3 - Use the distributive property to simplify....Ch. 3 - Write the area of the rectangle as algebraic...Ch. 3 - Write the volume of the rectangular solid as an...Ch. 3 - Solve each equation and check your solution. x2=8Ch. 3 - Solve each equation and check your solution....Ch. 3 - Prob. 3TCh. 3 - Prob. 4TCh. 3 - Solve each equation and check your solution....Ch. 3 - Prob. 6TCh. 3 - Prob. 7TCh. 3 - Prob. 8TCh. 3 - Prob. 9TCh. 3 - a. Translate into symbols. Angle x measures 10...Ch. 3 - Prob. 11TCh. 3 - Prob. 12TCh. 3 - Find the area of a rectangle with length 5 ft and...Ch. 3 - Prob. 14TCh. 3 - Prob. 15TCh. 3 - Find the length of the unknown side.Ch. 3 - Prob. 17TCh. 3 - Prob. 18TCh. 3 - Prob. 19TCh. 3 - Prob. 20TCh. 3 - Prob. 21TCh. 3 - Prob. 22TCh. 3 - Prob. 23TCh. 3 - Prob. 24TCh. 3 - Prob. 25TCh. 3 - Prob. 26T
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- In a study on speed control, it was found that the main reasons for regulations were to make traffic flow efficient and to minimize the risk of danger. An area that was focused on in the study was the distance required to completely stop a vehicle at various speeds. Use the following table to answer the questions. MPH Braking distance (yrds) 5 10 10 17 20 27 30 50 40 60 50 100 60 150 70 200arrow_forwardCClever Portal CA Co Managed bookmarks ixl.com/math/geometry/surface-area-and-volume-review?ImsPlatform=1 IXL My IXL Learning Assessment Geometry > U.15 Surface area and volume review TER C Learn with an example or ► Watch a video What is the surface area of this cone? Use л ≈ 3.14 and round your answer to the nearest hundredth. 7 ft 8 ft Submit square feet Type here to search Work it out Not feeling ready yet? These can help: 0 F1 1 2 F2 F3 #3 X F4 C F5 $ 4 % L E F6 + 回 F7 F8 F9 & об гarrow_forwardIn Gallup's Annual Consumption Habits Poll, telephone interviews were conducted for a random sample of 1014 adults aged 18 and over. One of the questions was, "How many cups of coffee, if any, do you drink on an average day?" The following table shows the results obtained (Gallup website, August 6, 2012). Number of Cups per Day 0 1 2 3 4 or more Number of Responses 365 264 193 91 101 Define a random variable x = number of cups of coffee consumed on an average day. Let x=4 represent four or more cups. a. Develop a probability distribution for x. b. Compute the expected value of x. c. Compute the variance of x. d. Suppose we are only interested in adults who drink at least one cup of coffee on an average day. For this group, let y = the number of cups of coffee consumed on an average day. Compute the expected value of y and compare it to the expected value of x.arrow_forward
- Ten major college football bowl games were played in January 2010, with the University of Alabama beating the University of Texas 37 to 21 to become the national champion of college football. The results of the 10 bowl games follow (USA Today, January 8, 2010). Bowl Game Score Outback Gator Auburn 38 Northwestern 35 Florida State 33 West Virginia 21 Capital One Penn State 19 LSU 17 Rose Ohio State 26 Oregon 17 Florida 51 Cincinnati 24 Sugar Cotton Alamo Fiesta Mississippi State 21 Oklahoma State 7 Texas Tech 41 Michigan State 31 Boise State 17 TCU 10 Orange Iowa 24 Georgia Tech 14 Championship Alabama 37 Texas 21 Predicted Point Margin Actual Point Margin 5 3 1 12 3 -2 14 3 9 -4 -3 4 229740706 14 10 10 16 The predicted winning point margin was based on Las Vegas betting odds approximately one week before the bowl games were played. For example, Auburn was predicted to beat Northwestern in the Outback Bowl by five points. The actual winning point margin for Au- burn was three points. A…arrow_forwardIn 2007 the New York Times reported that the median annual household income in the United States was $55,500 (New York Times website, August, 21, 2013). Answer the following questions based on the following sample of 14 household incomes for 2013 ($1000s). 49.4 52.2 52.4 53.4 51.3 52.1 48.7 64.5 51.6 46.5 52.9 52.5 52.1 51.2 a. What is the median household income for the sample data for 2013? b. Based on the sample data, estimate the percentage change in the median household income from 2007 to 2013. c. Compute the first and third quartiles.arrow_forwardEvaluate the triple integral 3' 23 HIG 2 +3 f(x, y, z)dxdydz where f(x, y, z) = x + 2x-y ม u = v = and w = 2 2 3 Triple Integral Region R -2 x N 2 y 3arrow_forward
- Find the volume of the solid bounded below by the circular cone z = 2.5√√√x² + y² and above by the sphere x² + y²+z² = 6.5z.arrow_forwardElectric charge is distributed over the triangular region D shown below so that the charge density at (x, y) is σ(x, y) = 4xy, measured in coulumbs per square meter (C/m²). Find the total charge on D. Round your answer to four decimal places. 1 U 5 4 3 2 1 1 2 5 7 coulumbsarrow_forwardLet E be the region bounded cone z = √√/6 - (x² + y²) and the sphere z = x² + y² + z² . Provide an answer accurate to at least 4 significant digits. Find the volume of E. Triple Integral Spherical Coordinates Cutout of sphere is for visual purposes 0.8- 0.6 z 04 0.2- 0- -0.4 -0.2 04 0 0.2 0.2 x -0.2 04 -0.4 Note: The graph is an example. The scale and equation parameters may not be the same for your particular problem. Round your answer to 4 decimal places. Hint: Solve the cone equation for phi. * Oops - try again.arrow_forward
- The temperature at a point (x,y,z) of a solid E bounded by the coordinate planes and the plane 9.x+y+z = 1 is T(x, y, z) = (xy + 8z +20) degrees Celcius. Find the average temperature over the solid. (Answer to 4 decimal places). Average Value of a function using 3 variables z 1- y Hint: y = -a·x+1 * Oops - try again. xarrow_forwardFind the saddle pointsarrow_forwardProblem #5 Section A of my math class has 110 students. Section B of my math class has 80 students. a). If I randomly select 15 students from the combined classes, in a way that the order of my selection does not matter, what is the probability that all 15 students can from Section A? b). If I randomly select 15 students from the combined classes, in a way that the order of my selection does not matter, what is the probability that all 15 students can from Section B? c). If I randomly select 15 students from the combined classes, in a way that the order of my selection does not matter, what is the probability that all 7 students come from section A and 8 students come from section B?arrow_forward
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