All categories

3 years ago

Translate the given statement into propositional logic using proposition provided :

Mathematics

1 answer:

olya-2409 [2.1K]3 years ago

6 0

Answer: m ⇒ e ∨ p

Step-by-step explanation:

First look at the statement and locate the connectives ( these are words which connect sentences such as: and, or, implies, is equivalent and not.) Each of these connectives have a symbol/ variable.

In this case the connectives are "only if" and "or" these are important because we will not attach propositional variables to them, where:

⇒ = " only if"

∨ = "or"

Convert the phrases into variables where:

m = " You can see the movie"

e = "You are over 18 years old"

p = " you have the permission of a parent"

Construct the statement sequentially.

You can see the movie (m) only if (⇒) you are over 18 years old (e) or (∨) you have the permission of a parent (p)

Remove the phrases and you'll have your answer:

m ⇒ e ∨ p

You might be interested in

Plz help quick will mark as brainliest

Vitek1552 [10]

Answer:

1. a^mn= (a^m)^n

2. a^m+n= a^m • a^m

3. 1= a^0

4. a^m • b^m = ab^ m

5. 1/a^n = (a)^m

Step-by-step explanation:

^ means exponent

• means multiply

6 0

4 years ago

Erica plotted the three towns closest to her house on a graph with town AA at (9, 12), town BB at (9, 7) and town CC at (1, 1).

Sliva [168]

To compute the distance between the points, we can apply the distance formula as shown below.

$d = \sqrt{(x_{1} - x_{2})^{2} + (y_{1} - y_{2})^{2} }$

In which x₁ and x₂ are the x-coordinates and y₁ and y₂ are the y-coordinates of the two points. Thus, applying this with the segments AABB, AACC, and BBCC, we have

$\overline{AABB} = \sqrt{(9-9)^{2} + (12-7)^{2}} = 5$
$\overline{AACC} = \sqrt{(9-1)^{2} + (12-1)^{2}} = \sqrt{185}$
$\overline{BBCC} = \sqrt{(9-1)^{2} + (7-1)^{2}} = 10$

Now that we have the lengths of all the sides of ΔAABBCC, we can find the missing angles using the Law of Cosines.

Generally, we have

$c^{2} = a^{2} + b^{2} - 2abcosC$

or

$C = cos^{-1} (\frac{a^{2} + b^{2} - c^{2}}{2ab})$

Hence, we have

$\angle AA = cos^{-1} (\frac{(\sqrt{185})^{2} + 5^{2} - 10^{2}}{2(5)(\sqrt185)})$
$\angle BB= cos^{-1} (\frac{5^{2} + 10^{2} - (\sqrt{185})^{2}}{2(5)(10)})$
$\angle CC= cos^{-1} (\frac{10^{2} + (\sqrt{185})^{2} - 5^{2}}{2(5)(\sqrt{185})})$

Simplifying this, we have

$\angle AA = 36.03^{0}$
$\angle BB = 126.87^{0}$
$\angle CC = 17.10^{0}$

Thus, from this, we can arrange the angles from smallest to largest: ∠CC, ∠AA, and ∠BB.

Answer: ∠CC, ∠AA, and ∠BB

3 0

3 years ago

Helppp 100pts

frosja888 [35]

Answer:

.83

Step-by-step explanation:

If you take 100 shows 60 shows got favorable response and in that 50 shows were successful.

So probability for a show to be successful if it got a favorable response is = 50/60 = 0.83

8 0

4 years ago

What is the approximate area of the geometric figure?

matrenka [14]

Answer:C.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Jonathon is using a six-sided die to conduct an experiment. What would be the probability that the die would land on the number

crimeas [40]

The probability of landing on a 4 when throwing a die is 1/6.
to find the probability of rolling the same number you have to times this

1/6*1/6*1/6=1/216

hope this helped!

5 0

3 years ago