
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 16 different possible answers can be given for the two questions.
Explanation of Solution
Given:
There are 2 questions.
Each question has 4 choices A, B, C, D of which only 1 choice is correct.
Calculation:
The tree diagram with the possible outcomes can be drawn as:
As conclude from the tree diagram there are total of 16 different possible answers can be given for the two questions.
Hence,
There are total of 16 different possible answers can be given for the two questions.
ii.
To find the probability.
ii.

Answer to Problem 17E
The probability of answering both question correctly is 116 .
Explanation of Solution
Given:
There are 2 questions.
Each question has 4 choices A, B, C, D of which only 1 choice is correct.
Formula used:
P(event)=Number of favorable outcomesNumber of possible outcomes
Calculation:
The tree diagram with the possible outcomes can be drawn as:
As from the tree diagram,
Total number of possible outcomes =16
Number of favorable outcomes of answering both questions correctly =1
Therefore,
P(event)=Number of favorable outcomesNumber of possible outcomesP=116
Hence,
The probability of answering both question correctly is 116 .
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 7 .
The Probability of answering at least one question correctly and the answer is option A is 716 .
Explanation of Solution
Given:
There are 2 questions.
Each question has 4 choices A, B, C, D of which only 1 choice is correct.
The answer of both the question is A.
Formula used:
P(event)=Number of favorable outcomesNumber of possible outcomes
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 7 .
As from the tree diagram,
Total number of possible outcomes =16
Number of favorable outcomes in which at least one of the answer is option A and answer given correctly =7
Therefore,
P(event)=Number of favorable outcomesNumber of possible outcomesP=716
Hence,
The Probability of answering at least one question correctly and the answer is option A is 716 .
Chapter 6 Solutions
Pre-Algebra
Additional Math Textbook Solutions
Elementary Statistics (13th Edition)
College Algebra (7th Edition)
Precalculus
Calculus: Early Transcendentals (2nd Edition)
Pre-Algebra Student Edition
- 2. Find the exact value of 12 + 12+12+√√12+ √12+ 12arrow_forwardTechnetium-99m is used as a radioactive tracer for certain medical tests. It has a half-life of 1 day. Consider the function TT where T(d)T(d) =100(2)−d=100(2)−d is the percent of Technetium-99m remaining dd days after the test. Which expression represents the number of days until only 5% remains?arrow_forward1. Find the inverse of f(x) = = 2x 1+2x Then find the domain of the inverse.arrow_forward
- 1. a scientist observed a bacterium in a microscope. it measured about .0000029 meter in diameter which of the following is closest to it? A- 2 x 10^-6, B- 2 x 10^-5, C- 3 x 10^-5, or D- 3 x 10^-6 2.express the product of 500 and 400 in scientific notation. is it 2 x 10^5 or 2 x 10^4 or 2 x 10^3 or 20 x 10^4arrow_forwardPlease Help me answer this linear algebra question. This is a practice textbook question.arrow_forwardPlease Help me answer this linear algebra question. This is a practice textbook question.arrow_forward
- TY D om E h om ng 00 C B A G F Q ו 3 13 Details Find an Euler path for the graph. Enter your response as a sequence of vertices in the order they are visited, for example, ABCDEA. fic ► Question Help: Video Message instructor Submit Question tor arch 園 A Wind advisoryarrow_forwardYou are provided with three 2D data points, p1, p2 and p3. Solving A C = B for C provides youwith the coefficients of a natural cubic spline curve that interpolates these points.Additionally, you have been given A and B, but some elements are missing. Moreover, the last two rowsof A are entirely absent. Your task is to determine and fill in the missing elements. For the last two rows,enforce a zero tangent at the beginning (in p1) and a not-a-knot boundary condition in p2. The matricesA and B are given as follows:Explain how to find the entries of A and B . How would you adapt these matrices if the data pointswere 3D? What if your spline should go through five data points? How many “extra rows” would there thenbe (with “extra” meaning “in addition to securing C2-continuity”)?arrow_forwardWhich graph represents f(x) = √x-2+3?arrow_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





