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3 years ago

Write a ratio using another form for 132 boys and 89 girls

Mathematics

1 answer:

Paraphin [41]3 years ago

7 0

Answer:

132 : 89

Step-by-step explanation:

There is no "another form"

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For each of the following, use logic laws to decide whether the statement is a tautology contradiction, or neither. a (a) (A B)

spayn [35]

Answer:

The statement $(A\rightarrow \lnot B)\land (B\rightarrow A)$ is a contingency.

The statement $(P\rightarrow \lnot P)\land P$ is a contradiction.

Step-by-step explanation:

A tautology is a proposition that is always true.

A contradiction is a proposition that is always false.

A contingency is a proposition that is neither a tautology nor a contradiction.

a) To classify the statement $(A\rightarrow \lnot B)\land (B\rightarrow A)$ , you need to use the logic laws as follows:

$(A\rightarrow \lnot B)\land (B\rightarrow A) \equiv$

$\equiv (\lnot A \lor\lnot B)\land(\lnot B \lor A)$ by the logical equivalence involving conditional statement.

$\equiv (\lnot B\lor \lnot A )\land(\lnot B \lor A)$ by the Commutative law.

$\equiv \lnot B \lor (\lnot A \land A)$ by Distributive law.

$\equiv \lnot B \lor (A \land \lnot A)$ by the Commutative law.

$\equiv \lnot B \lor F$ by the Negation law.

Therefore the statement $(A\rightarrow \lnot B)\land (B\rightarrow A)$ is a contingency.

b) To classify the statement $(P\rightarrow \lnot P)\land P$ , you need to use the logic laws as follows:

$(P\rightarrow \lnot P)\land P \equiv$

$\equiv (\lnot P \lor \lnot P)\land P$ by the logical equivalence involving conditional statement.

$\equiv P \land (\lnot P \lor \lnot P)$ by the Commutative law.

$\equiv (P \land \lnot P) \lor (P \land \lnot P)$ by Distributive law.

$\equiv F \lor F \equiv F$ by the Negation law.

Therefore the statement $(P\rightarrow \lnot P)\land P$ is a contradiction.

8 0

3 years ago

What are the dimensions of the original rectangle?

Vedmedyk [2.9K]

Answer:

5 feet by 1 foot

took the unit test on edge

4 0

3 years ago

Math help! Is this correct? If not what’s the real answer

miv72 [106K]

Answer:

It's correct

Step-by-step explanation:

Good job! arcsin(0.9659) is indeed 75 degrees

3 0

3 years ago

(-3,4) is one of many solutions to the inequality: <br><br> 2x+y ≥ -2<br><br> True or false

Blababa [14]

Answer:

True

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The equation 18 + p = 34 represents the sum of Reese's and Ana's ages, where p represents Reece's age. How old is Reece?

Phantasy [73]

Answer:

therefore reece'sis 16 years old

Step-by-step explanation:

18+p=34

p+18-18=34-18

p=16

8 0

3 years ago