
a) The grades on the final to get A grade.
b) The grades on the final so as to lose B grade.
Solution:
a) With 100 marks in final exam, A is not possible.
b) To earn B, the score y in the final exam should be y ≥ 68 .
Explanation:
Given:
The given is that the two examination grades are 86 , 78 and 88 and in order to earn an A in the course, the final average should be atleast 90 . Also to earn a B in the course the final average should be atleast 8 0 .
Concept and Formula Used:
The concept used here is the concept of linear inequality. The concept of inequality includes two types of inequalities:
1) At most inequality: this inequality is less than equal to ( ≤ ) type inequality.
2) At least inequality: this inequality is more than equal to ( ≥ ) type inequality.
And the formula used here is the formula of an average.
Formula of the average = sum of the numbers whose average is to be taken out total number of observations
Calculation:
a) As to earn A, the final average should be atleast 90 , thus the inequality is of greater than type. As 100 is the score in the final, thus the average obtained is given by,
Formula of the average = sum of the numbers whose average is to be taken out total number of observations ⇒ Average = 88 + 86 + 78 + 100 4 = 352 4 = 88
As to earn A, the final average should be at least 90, but the average is 88 thus A is not possible.
b) As to earn B, the final average should be atleast 8 0 , thus the inequality is of greater than or equal to type.
Let y be the score in final exam, so according to the given situation the inequality is
Formula of the average = sum of the numbers whose average is to be taken out total number of observations ⇒ 86 + 88 + 78 + y 4 ≥ 80 ⇒ 4 ( 86 + 88 + 78 + y 4 ) ≥ 4 ( 80 ) (Multiplying both sides by 4) ⇒ 4 ( 86 + 88 + 78 + y ) 4 ≥ 320 ⇒ 86 + 88 + 78 + y ≥ 320 ⇒ 252 + y ≥ 320 ⇒ 252 + y − 252 ≥ 320 − 252 (Subtracting 252 from both the sides) ⇒ y ≥ 68
Thus to earn B, the score in the final exam should be greater than or equal to 68.
Conclusion:
a) With 100 marks in final exam, A is not possible.
b) To earn B, the score y in the final exam should be y ≥ 68 .
b) The grades on the final so as to lose B grade.
Solution:
- a) With 100 marks in final exam, A is not possible.
b) To earn B, the score
Explanation:
Given:
The given is that the two examination grades are
Concept and Formula Used:
The concept used here is the concept of linear inequality. The concept of inequality includes two types of inequalities:
1) At most inequality: this inequality is less than equal to
2) At least inequality: this inequality is more than equal to
And the formula used here is the formula of an average.
Calculation:
a) As to earn A, the final average should be
As to earn A, the final average should be at least 90, but the average is 88 thus A is not possible.
b) As to earn B, the final average should be
Let
Thus to earn B, the score in the final exam should be greater than or equal to 68.
Conclusion:
a) With 100 marks in final exam, A is not possible.
b) To earn B, the score

Want to see the full answer?
Check out a sample textbook solution
Chapter 2 Solutions
EP INTRODUCTORY+INTER...-18 WEEKS ACC.
- A person is tossing a fair, two-sided coin three times and recording the results (either a Heads, H, or a Tails, T). Let E be the event that exactly two heads are tossed. Which of the following sets represent the event E? Group of answer choices {HHT, HTH, THH} {HHT, THH} {HHH, HHT, HTH, THH, TTT, TTH, THT, HTT} {HH}arrow_forwardTake Quiz 54m Exit Let the universal set be whole numbers 1 through 20 inclusive. That is, U = {1, 2, 3, 4, . . ., 19, 20}. Let A, B, and C be subsets of U. Let A be the set of all prime numbers: A = {2, 3, 5, 7, 11, 13, 17, 19} Let B be the set of all odd numbers: B = {1,3,5,7, • • , 17, 19} Let C be the set of all square numbers: C = {1,4,9,16} ☐ Question 2 3 pts Which of the following statement(s) is true? Select all that apply. (1) АСВ (2) A and C are disjoint (mutually exclusive) sets. (3) |B| = n(B) = 10 (4) All of the elements in AC are even numbers. ☐ Statement 1 is true. Statement 2 is true. Statement 3 is true. Statement 4 is true.arrow_forward☐ Question 1 2 pts Let G be the set that represents all whole numbers between 5 and 12 exclusive. Which of the following is set G in standard set notation. (Roster Method)? O G = [5, 12] G = {5, 6, 7, 8, 9, 10, 11, 12} O G = (5, 12) OG = {6, 7, 8, 9, 10, 11}arrow_forward
- Solve thisarrow_forwardint/PlayerHomework.aspx?homeworkId=689099898&questionId=1&flushed=false&cid=8120746¢erw BP Physical Geograph... HW Score: 0%, 0 of 13 points ○ Points: 0 of 1 Determine if the values of the variables listed are solutions of the system of equations. 2x - y = 4 3x+5y= - 6 x=1, y = 2; (1,-2) Is (1, 2) a solution of the system of equations? L No Yes iew an example Get more help - Aarrow_forward12:01 PM Tue May 13 < AA ✓ Educatic S s3.amazona... A Assess Your... 目 accelerate-iu15-bssd.vschool.com S s3.amazona... Trigonometric Identities Module Exam Dashboard ... Dashboard ... Algebra 2 Pa... Algebra 2 Part 4 [Honors] (Acc. Ed.) (Zimmerman) 24-25 / Module 11: Trigonometric Identities i + 38% ✰ Start Page Alexis Forsythe All changes saved 10. A sound wave's amplitude can be modeled by the function y = −7 sin ((x-1) + 4). Within the interval 0 < x < 12, when does the function have an amplitude of 4? (Select all that apply.) 9.522 seconds 4.199 seconds 0.522 seconds 1.199 seconds Previous 10 of 20 Nextarrow_forward
- Jamal wants to save $48,000 for a down payment on a home. How much will he need to invest in an account with 11.8% APR, compounding daily, in order to reach his goal in 10 years? Round to the nearest dollar.arrow_forwardr nt Use the compound interest formula, A (t) = P(1 + 1)". An account is opened with an intial deposit of $7,500 and earns 3.8% interest compounded semi- annually. Round all answers to the nearest dollar. a. What will the account be worth in 10 years? $ b. What if the interest were compounding monthly? $ c. What if the interest were compounded daily (assume 365 days in a year)? $arrow_forwardKyoko has $10,000 that she wants to invest. Her bank has several accounts to choose from. Her goal is to have $15,000 by the time she finishes graduate school in 7 years. To the nearest hundredth of a percent, what should her minimum annual interest rate be in order to reach her goal assuming they compound daily? (Hint: solve the compound interest formula for the intrerest rate. Also, assume there are 365 days in a year) %arrow_forward
- 3:56 wust.instructure.com Page 0 Chapter 5 Test Form A of 2 - ZOOM + | Find any real numbers for which each expression is undefined. 2x 4 1. x Name: Date: 1. 3.x-5 2. 2. x²+x-12 4x-24 3. Evaluate when x=-3. 3. x Simplify each rational expression. x²-3x 4. 2x-6 5. x²+3x-18 x²-9 6. Write an equivalent rational expression with the given denominator. 2x-3 x²+2x+1(x+1)(x+2) Perform the indicated operation and simplify if possible. x²-16 x-3 7. 3x-9 x²+2x-8 x²+9x+20 5x+25 8. 4.x 2x² 9. x-5 x-5 3 5 10. 4x-3 8x-6 2 3 11. x-4 x+4 x 12. x-2x-8 x²-4 ← -> Copyright ©2020 Pearson Education, Inc. + 5 4. 5. 6. 7. 8. 9. 10. 11. 12. T-97arrow_forwardProblem #5 Suppose you flip a two sided fair coin ("heads" or "tails") 8 total times. a). How many ways result in 6 tails and 2 heads? b). How many ways result in 2 tails and 6 heads? c). Compare your answers to part (a) and (b) and explain in a few sentences why the comparison makes sense.arrow_forwardA local company has a 6 person management team and 20 employees. The company needs to select 3 people from the management team and 7 employees to attend a regional meeting. How many different possibilities are there for the group that can be sent to the regional meeting?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





