Math 110 2,3,4 and Final Exam | LATEST UPDATED | COMPREHENSIVE
QUESTIONS WITH 100% RATED ANSWERS | GUARANTEED TO PASS!!
Math110- Test 2 Review | LATEST UPDATED | COMPREHENSIVE
QUESTIONS WITH 100% RATED ANSWERS | GUARANTEED TO PASS!!
Determine the truth value of the compound statement given that p is a false statement, q is a
true statement, and r is a false statement.
p ∨ (~q ∨ r) - correct answer False
Determine the truth value of the compound statement given that p is a true statement, q is a
true statement, and r is a false statement.
[~(p ∧ ~q) ∨ r] ∧ (p ∨ ~r) - correct answer True
Determine the truth value of the compound statement given that p is a false statement, q is a
true statement, and r is a true statement.
(~p ∧ q) ∧ [(p ∨ ~q) ∧ r] - correct answer False
Make use of one of De Morgan's laws to write the given statement in an equivalent form.
It is not true that, she received a promotion or that she received a raise.
A: She did not receive a promotion and she did not receive a raise.
B: She received a promotion but she did not receive a raise.
C: She either received a promotion or she received a raise, but not both.
D: She received a promotion and she received a raise.
E: She did not receive a promotion but she did receive a raise - correct answer A: She did not
receive a promotion and she did not receive a raise.
Explain why the statement 6 ≤ 8 is a disjunction.
A: The symbol ≤ separates, that is, disjoins, the two values.
B: The symbol ≤ means "less than and equal to."
C: The symbol ≤ contains the verb of the mathematical statement.
D: The symbol ≤ means "less than or equal to."
,E: The symbol = would be a conjunction; anything else is a disjunction. - correct answer D: The
symbol ≤ means "less than or equal to."
Determine the truth value of the given statement.
If all frogs can dance, then today is Monday. - correct answer True
Determine the truth value of the given statement.
If |x| = 4, then x = 4. - correct answer False
State whether the given biconditional is true or false. Assume that x and y are real numbers.
x2 = 49 if and only if x = 7. - correct answer False
State whether the given biconditional is true or false.
5 = 1 if and only if 6 = 8. - correct answer True
Write the sentence in symbolic form. Use v, p, and t as defined below.
v: "I will take a vacation."
p: "I get the promotion."
t: "I will be transferred."
If I am transferred, then I will not take a vacation.
A: v → t
B: t → v
C: ~v → t
D: t → ~v - correct answer D: t → ~v
List the elements of the sample space defined by the experiment. (Enter your answers as a
comma-separated list.)
Select an even single-digit whole number. - correct answer {0, 2, 4, 6, 8}
List the elements of the sample space defined by each experiment.
Toss a coin and then choose a digit from the digits 1 through 4.
A: {HH, HT, TH, HH}
B: {H1, H2, H3, H4, T1, T2, T3, T4}
C: {1, 2, 3, 4, HH, HT, TH, HH}
D: {H, T, H1, H2, H3, H4, T1, T2, T3, T4}
, E: {1, 2, 3, 4} - correct answer B:{H1, H2, H3, H4, T1, T2, T3, T4}
Use the counting principle to determine the number of elements in the sample space.
Two digits are selected without replacement from the digits 1, 2, 3, 4, 5, 6, 7, and 8. - correct
answer 56
Use the counting principle to determine the number of elements in the sample space.
The possible ways to complete a true-false examination consisting of 27 questions. - correct
answer 2^27
Two-digit natural numbers are formed, with replacement, from the digits 0 through 9.
How many numbers are greater than 36? - correct answer 63 numbers
Four cards labeled A, B, C, and D are randomly placed in four boxes labeled A, B, C, and D. Each
box receives exactly one card.
In how many ways can the cards be placed in the boxes? - correct answer 24 ways
Use the following experiment. A state lottery game consists of choosing one card from each of
the four suits in a standard deck of playing cards. (There are 13 cards in each suit.)
Count the number of ways in which four 5's can be chosen. - correct answer 1
Evaluate the expression.
7! − 5! - correct answer 4920
Evaluate the expression.
P(8, 3) · P(4, 2) - correct answer 4032
Evaluate the expression.
C(4, 2) · C(5, 3)
----------------
C(7, 3) - correct answer 12/7
How many combinations are possible? Assume the items are distinct.
QUESTIONS WITH 100% RATED ANSWERS | GUARANTEED TO PASS!!
Math110- Test 2 Review | LATEST UPDATED | COMPREHENSIVE
QUESTIONS WITH 100% RATED ANSWERS | GUARANTEED TO PASS!!
Determine the truth value of the compound statement given that p is a false statement, q is a
true statement, and r is a false statement.
p ∨ (~q ∨ r) - correct answer False
Determine the truth value of the compound statement given that p is a true statement, q is a
true statement, and r is a false statement.
[~(p ∧ ~q) ∨ r] ∧ (p ∨ ~r) - correct answer True
Determine the truth value of the compound statement given that p is a false statement, q is a
true statement, and r is a true statement.
(~p ∧ q) ∧ [(p ∨ ~q) ∧ r] - correct answer False
Make use of one of De Morgan's laws to write the given statement in an equivalent form.
It is not true that, she received a promotion or that she received a raise.
A: She did not receive a promotion and she did not receive a raise.
B: She received a promotion but she did not receive a raise.
C: She either received a promotion or she received a raise, but not both.
D: She received a promotion and she received a raise.
E: She did not receive a promotion but she did receive a raise - correct answer A: She did not
receive a promotion and she did not receive a raise.
Explain why the statement 6 ≤ 8 is a disjunction.
A: The symbol ≤ separates, that is, disjoins, the two values.
B: The symbol ≤ means "less than and equal to."
C: The symbol ≤ contains the verb of the mathematical statement.
D: The symbol ≤ means "less than or equal to."
,E: The symbol = would be a conjunction; anything else is a disjunction. - correct answer D: The
symbol ≤ means "less than or equal to."
Determine the truth value of the given statement.
If all frogs can dance, then today is Monday. - correct answer True
Determine the truth value of the given statement.
If |x| = 4, then x = 4. - correct answer False
State whether the given biconditional is true or false. Assume that x and y are real numbers.
x2 = 49 if and only if x = 7. - correct answer False
State whether the given biconditional is true or false.
5 = 1 if and only if 6 = 8. - correct answer True
Write the sentence in symbolic form. Use v, p, and t as defined below.
v: "I will take a vacation."
p: "I get the promotion."
t: "I will be transferred."
If I am transferred, then I will not take a vacation.
A: v → t
B: t → v
C: ~v → t
D: t → ~v - correct answer D: t → ~v
List the elements of the sample space defined by the experiment. (Enter your answers as a
comma-separated list.)
Select an even single-digit whole number. - correct answer {0, 2, 4, 6, 8}
List the elements of the sample space defined by each experiment.
Toss a coin and then choose a digit from the digits 1 through 4.
A: {HH, HT, TH, HH}
B: {H1, H2, H3, H4, T1, T2, T3, T4}
C: {1, 2, 3, 4, HH, HT, TH, HH}
D: {H, T, H1, H2, H3, H4, T1, T2, T3, T4}
, E: {1, 2, 3, 4} - correct answer B:{H1, H2, H3, H4, T1, T2, T3, T4}
Use the counting principle to determine the number of elements in the sample space.
Two digits are selected without replacement from the digits 1, 2, 3, 4, 5, 6, 7, and 8. - correct
answer 56
Use the counting principle to determine the number of elements in the sample space.
The possible ways to complete a true-false examination consisting of 27 questions. - correct
answer 2^27
Two-digit natural numbers are formed, with replacement, from the digits 0 through 9.
How many numbers are greater than 36? - correct answer 63 numbers
Four cards labeled A, B, C, and D are randomly placed in four boxes labeled A, B, C, and D. Each
box receives exactly one card.
In how many ways can the cards be placed in the boxes? - correct answer 24 ways
Use the following experiment. A state lottery game consists of choosing one card from each of
the four suits in a standard deck of playing cards. (There are 13 cards in each suit.)
Count the number of ways in which four 5's can be chosen. - correct answer 1
Evaluate the expression.
7! − 5! - correct answer 4920
Evaluate the expression.
P(8, 3) · P(4, 2) - correct answer 4032
Evaluate the expression.
C(4, 2) · C(5, 3)
----------------
C(7, 3) - correct answer 12/7
How many combinations are possible? Assume the items are distinct.
