Statements - Statistics - Exercise, Exercises of Statistics

These are the notes of Exercise of Statistics. Key important points are: Statements, Professional, Elected Government, Negation, Plays Hard, Guitar Player, Statement Symbolically

Typology: Exercises

2012/2013

Uploaded on 02/11/2013

sana.fati
sana.fati 🇮🇳

4.3

(7)

109 documents

1 / 5

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Lesson
Statements
Determine whether the sentence is a statement.
1) Let your sister sit there.
2) No professional hockey player has ever gone on to become an elected government official.
3) 5 + 4 = 11
Form the ne
g
ation of the statement.
4) Today is May 10
5) Warsaw is not the capital of Italy.
Let p, q, r, and s represent the followin
g
statements:
p: One plays hard.
q: One is a guitar player.
r: The commute to work is not long.
s: It is not true that the car is working.
Express the following statement symbolically.
6) One does not play hard.
7) One is not a guitar player.
Express the s
y
mbolic statement
~
p in words.
8) p: Lake Mead is one of the Great Lakes.
9) p: The Pilgrims did not land in Tahiti.
10) p: The refrigerator is not working.
Express the quantified statement in an equivalent wa
y
, that is, in a wa
y
that has exactl
y
the same
meaning.
11) All uncles are males.
12) Some flowers are roses.
Write the ne
g
ation of the quantified statement. (The ne
g
ation should be
g
in with "all," "some," or "no.")
13) All mathematicians are humans.
Prestatistics
Docsity.com
pf3
pf4
pf5

Partial preview of the text

Download Statements - Statistics - Exercise and more Exercises Statistics in PDF only on Docsity!

Lesson

Statements

Determine whether the sentence is a statement.

1) Let your sister sit there.

2) No professional hockey player has ever gone on to become an elected government official.

Form the negation of the statement.

4) Today is May 10

5) Warsaw is not the capital of Italy.

Let p, q, r, and s represent the following statements:

p: One plays hard.

q: One is a guitar player.

r: The commute to work is not long.

s: It is not true that the car is working.

Express the following statement symbolically.

6) One does not play hard.

7) One is not a guitar player.

Express the symbolic statement ~p in words.

8) p: Lake Mead is one of the Great Lakes.

9) p: The Pilgrims did not land in Tahiti.

10) p: The refrigerator is not working.

Express the quantified statement in an equivalent way, that is, in a way that has exactly the same

meaning.

11) All uncles are males.

12) Some flowers are roses.

Write the negation of the quantified statement. (The negation should begin with "all," "some," or "no.")

13) All mathematicians are humans.

Prestatistics

14) Some drinks are not liquids.

Choose the correct conclusion.

15) As a special promotion, the Green Thumb organic foods chain said that everyone who came to one

of their stores between noon and 1 p.m. on January 4 would be offered a free loaf of 23-grain bread.

They did not keep this promise. Therefore, between noon and 1 p.m. on January 4:

Express the symbolic statement ~p in words.

16) p: Not all people like football.

17) p: Some athletes are musicians.

18) p: No fifth graders play soccer.

Given that p and q each represents a simple statement, write the indicated compound statement in its

symbolic form.

19) p: Spartacus is a film.

q: Rambo is a film.

Spartacus is a film and Rambo is a film.

20) p: They set the alarm.

q: They get up on time.

They set the alarm or they get up on time.

21) p: This is a brontosaurus.

q: This is a dinosaur.

If this is not a brontosaurus, then this is not a dinosaur.

22) p: The outside humidity is high.

q: The basement dehumidifier is running.

r: The basement is getting moldy.

If the outside humidity is high, then the basement dehumidifier is running or the basement is not

getting moldy.

23) p: The outside humidity is low.

q: The central humidifier is running.

r: The air in the house is getting dry.

The air in the house is getting dry, if and only if the outside humidity is low and the

central humidifier is not running.

Prestatistics

Use grouping symbols to clarify the meaning of the symbolic statement.

33) p ∨ q → p ↔ q ∧ ~p

Prestatistics

Answer Key

Testname: 24_STATEMENTS

  1. not a statement
  2. statement
  3. statement
  4. Today is not May 10.
  5. It is not true that Warsaw is not the capital of Italy.
  6. ~p
  7. ~q
  8. Lake Mead is not one of the Great Lakes.
  9. The Pilgrims landed in Tahiti.
  10. The refrigerator is working.
  11. There are no uncles that are not males.
  12. At least one flower is a rose.
  13. Some mathematicians are not humans.
  14. All drinks are liquids.
  15. At least one person who came to a Green Thumb store was not offered a free loaf of 23 - grain bread.
  16. All people like football.
  17. No athlete is a musician.
  18. At least one fifth grader plays soccer.
  19. p ∧ q
  20. p ∨ q
  21. ~ p → ~ q
  22. p → (q ∨ ~ r)
  23. r ↔ (p ∧ ~ q)
  24. It is not true that Roger likes Vanessa and Vanessa likes Roger.
  25. It is not true that Vanessa likes Roger or that Roger likes Vanessa.
  26. The car has been repaired, and we will visit Aunt Tillie if the kids are home.
  27. We will visit Aunt Tillie if and only if the car has been repaired and the kids are home.
  28. The refrigerator is not working and the milk is warm.
  29. If we do not go sledding, then there is not a blizzard outside or we have to go to school.
  30. If there is not a blizzard outside, then we go sledding or we do not have to go to school.
  31. (p ∨ q) → ~r
  32. (p → ~r) ↔ q
  33. [(p ∨ q) → p] ↔ (q ∧ ~p)

Prestatistics