Concept explainers
i.
To make a tree diagram to show all the different possible outcomes.
i.

Answer to Problem 17E
The tree diagram with the possible outcomes can be drawn as:
There are total of
Explanation of Solution
Given:
There are
Each question has
Calculation:
The tree diagram with the possible outcomes can be drawn as:
As conclude from the tree diagram there are total of
Hence,
There are total of
ii.
To find the probability.
ii.

Answer to Problem 17E
The probability of answering both question correctly is
Explanation of Solution
Given:
There are
Each question has
Formula used:
Calculation:
The tree diagram with the possible outcomes can be drawn as:
As from the tree diagram,
Total number of possible outcomes
Number of favorable outcomes of answering both questions correctly
Therefore,
Hence,
The probability of answering both question correctly is
iii.
To answer the statement and find the probability.
iii.

Answer to Problem 17E
The number of outcomes in which answer is option A in at least one of the two question and answer given correctly is
The Probability of answering at least one question correctly and the answer is option A is
Explanation of Solution
Given:
There are
Each question has
The answer of both the question is A.
Formula used:
Calculation:
The tree diagram with the possible outcomes is shown as:
As from the tree diagram,
The outcomes which represent option A as an answer are (A,A) (A,B) (A,C) (A,D) (B,A) (C,A) (D,A)
Therefore,
The number of outcomes in which answer is option A in atleast one of the two question and answer given correctlyis
As from the tree diagram,
Total number of possible outcomes
Number of favorable outcomes in which at least one of the answer is option A and answer given correctly
Therefore,
Hence,
The Probability of answering at least one question correctly and the answer is option A is
Chapter 6 Solutions
Holt Mcdougal Larson Pre-algebra: Common Core Practice Workbook
Additional Math Textbook Solutions
Elementary Statistics (13th Edition)
College Algebra (7th Edition)
Precalculus
Calculus: Early Transcendentals (2nd Edition)
Pre-Algebra Student Edition
- Use the graph of y = f(x) to answer the following. 3- 2 -4 -2 -1 1 2 3 4 -1 2 m -3- + (d) Find all x for which f(x) = -2. If there is more than one value, separate them with commas or write your answer in interval notation, if necessary. Select "None", if applicable. Value(s) of x for which f(x)=-2: | (0,0) (0,0) (0,0) (0,0) 0,0... -00 None (h) Determine the range of f. The range is (0,0) Garrow_forwardWhat is g(f(4))arrow_forward10) Multiply (8m + 3)² A) 8m²+11m+6 B) m² + 48m+9 C) 64m²+48m+9 D) 16m²+11m+6arrow_forward
- Let R be field and X= R³/s Vector space over R M=(a,b,c)labic, e Rra+b= 3- <3 Show that Ms and why with proof. 1) is convexset and affine set of botost ii) is blanced set and symmetirs set of x iii) is hy per space and hyper plane ofx or hot iii) find f:MR st kerf = M 18/103 and finnd fiM→R/{0} st M= {xEX, f(t) = x, texiαER? jiii) show that Mis Maxsubspace or not and Mis a max. affine set or not.arrow_forwardFind The partial fraction decomposition for each The following 2× B) (x+3) a 3 6 X-3x+2x-6arrow_forward1) Find the partial feraction decomposition for each of 5- X 2 2x+x-1 The following: 3 B) 3 X + 3xarrow_forward
- Kate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player. What is fair share to nancy? S1 S2 S3 S4 Kate $4.00 $6.00 $6.00 $4.00 Luke $5.30 $5.00 $5.25 $5.45 Mary $4.25 $4.50 $3.50 $3.75 Nancy $6.00 $4.00 $4.00 $6.00arrow_forwardKate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player. S1 S2 S3 S4 Kate $4.00 $6.00 $6.00 $4.00 Luke $5.30 $5.00 $5.25 $5.45 Mary $4.25 $4.50 $3.50 $3.75 Nancy $6.00 $4.00 $4.00 $6.00 how much is the cak worth to maryarrow_forwardKate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player. What is the threshold of fair share for Luke? S1 S2 S3 S4 Kate $4.00 $6.00 $6.00 $4.00 Luke $5.30 $5.00 $5.25 $5.45 Mary $4.25 $4.50 $3.50 $3.75 Nancy $6.00 $4.00 $4.00 $6.00arrow_forward
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education





