1. 200 students are asked to fill out a survey. When the information was compiled, it was observed that 97 students indicated that they live with their Biological Father and 145 students indicated that they live with their Biological Mother if 23 students were adopted. How many students live in a home with both biological parents? 2. Universal Set { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, Set A – { 1, 3, 6, 8, 10} and Set B – { even number less than 10} Answer the following questions. a) A U B = b) A – B = c) A’∩ B’ = d) A’UB   3. 8 fiction novels by new authors are on display at a Book Festival. Patrons are told that they can choose any 3 books. How many different selections can a patron make? b) The following day 5 Non-fiction novels are added and patrons are told that they can take 4 fiction books and 2 non-fiction. How many different selections can the patrons now make? (3 marks) 4) In an AP the 18th Term is 5 times the 2nd Term and the 11th Term is 52. What is the sum of the first twenty terms? . 6) In a GP the 8th term is 8748 and the 4th term is 108. Find the sum of the 1st 10 terms.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. 200 students are asked to fill out a survey. When the information was compiled, it was observed that 97 students indicated that they live with their Biological Father and 145 students indicated that they live with their Biological Mother if 23 students were adopted. How many students live in a home with both biological parents?

2. Universal Set { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, Set A – { 1, 3, 6, 8, 10} and
Set B – { even number less than 10}

Answer the following questions. a) A U B = b) A – B = c) A’∩ B’ = d) A’UB

 

3. 8 fiction novels by new authors are on display at a Book Festival.
Patrons are told that they can choose any 3 books. How many different selections can a patron make?
b) The following day 5 Non-fiction novels are added and patrons are told that they can take 4 fiction books and 2 non-fiction.
How many different selections can the patrons now make? (3 marks)

4) In an AP the 18th Term is 5 times the 2nd Term and the 11th Term is 52.
What is the sum of the first twenty terms?
.
6) In a GP the 8th term is 8748 and the 4th term is 108. Find the sum of the 1st 10 terms.

 

 

 

 

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