All categories

2 years ago

Find the negation of the proposition

Mathematics

1 answer:

murzikaleks [220]2 years ago

8 0

In accordance with propositional logic, quantifier theory and definitions of simple and composite propositions, the negation of a implication has the following equivalence:

$\neg (\exists \,x\, (P(x) \implies Q(x))) \iff \forall \,x (\neg \,Q(x) \,\land \,P(x))$ (Correct choice: iii)

<h3>How to find the equivalent form of a proposition</h3>

Herein we have a composite proposition, that is, the union of monary and binary operators and simple propositions. According to propositional logic and quantifier theory, the negation of an implication is equivalent to:

$\neg (\exists \,x\, (P(x) \implies Q(x))) \iff \forall \,x (\neg \,Q(x) \,\land \,P(x))$

To learn more on propositions: brainly.com/question/14789062

#SPJ1

You might be interested in

A ferry needs to transport 2,232 people across the river. The ferry can take 31 people on each trip. How many trips will the fer

navik [9.2K]

Answer:

72 trips

Step-by-step explanation:

Hey there!

Well to find the amount of trips the ferry will need to take we'll do,

2232 ÷ 31 = 72

72 trips

Hope this helps :)

6 0

3 years ago

Read 2 more answers

Triangle PQR has coordinates P(–8, 3), Q(–8, 6), and R(–3, 6). If the triangle is translated by using the rule (x, y) right-arro

omeli [17]

Answer:

Step-by-step explanation:

The rule (x, y ) → (x + 4, y - 6 )

means add 4 to the original x- coordinate and subtract 6 from the original y- coordinate, thus

P(- 8, 3 ) → P'(- 8 + 4, 3 - 6 ) → P'(- 4, - 3 )

Q(- 8, 6 ) → Q'(- 8 + 4, 6 - 6 ) → Q'(- 4, 0 )

R(- 3, 6 ) → R'(- 3 + 4, 6 - 6 ) → R'(1, 0 )

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=I%20%3D%20%5Cfrac%7BE%7D%7B%20%5Csqrt%7BR%20%7B%7D%5E%7B2%7D%20%2B%20W%20%7B%7D%5E%7B2%7D%20L%

AleksandrR [38]

Answer:

R = sqrt[(IWL)^2/(E^2 - I^2)] or R = -sqrt[(IWL)^2/(E^2 - I^2)]

Step-by-step explanation:

Squaring both sides of equation:

I^2 = (ER)^2/(R^2 + (WL)^2)

<=>(ER)^2 = (I^2)*(R^2 + (WL)^2)

<=>(ER)^2 - (IR)^2 = (IWL)^2

<=> R^2(E^2 - I^2) = (IWL)^2

<=> R^2 = (IWL)^2/(E^2 - I^2)

<=> R = sqrt[(IWL)^2/(E^2 - I^2)] or R = -sqrt[(IWL)^2/(E^2 - I^2)]

Hope this helps!

7 0

3 years ago

The CPU of a personal computer has a lifetime that is exponentially distributed with a mean lifetime of six years. a) What is th

amm1812

Answer: Our required probability is 0.39.

Step-by-step explanation:

Since we have given that

X be the exponentially distributed with mean life = 6 years

So, E[x]=6

$\dfrac{1}{\lambda}=6\\\\\lambda=\dfrac{1}{6}$

So, our cumulative distribution function would be

$F(x)=1-e^{-\lambda x}$

We need to find the probability that the CPU fails within 3 years.

$P(X$

Hence, our required probability is 0.39.

7 0

4 years ago

(4×⁴+3×³+2×²-×+1)+(5×²-2×+3)

Annette [7]

Answer:

4×⁴+3×³+7×²-3x+4

Step-by-step explanation:

First remove the parentheses and pair up like terms

4×⁴+3×³+2×²+5×²-x-2x+1+3

Then combine the like terms

4×⁴+3×³+7×²-3x+4

Which is the answer.

3 0

3 years ago