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Pavlova-9 [17]
1 year ago
5

The connective "⇒ " in logic is a…​

Mathematics
1 answer:
Eva8 [605]1 year ago
4 0

The binary connective of implication ⇒ is defined as (A ⇒ B) ⇔ ((¬ A) ∨ B). It can be read « A implies B », « A is a sufficient condition for B », or « B is a necessary condition for A ».

What is connective?

Connective is function, or the symbol representing a function, which corresponds to English conjunctions such as "and," "or," "not," etc. that takes one or more truth values as input and returns a single truth value as output.

What is logical connective?

A Logical Connective is a symbol which is used to connect two or more propositional or predicate logics in such a manner that resultant logic depends only on the input logics and the meaning of the connective used.

Generally there are five connectives which are −

OR (∨)

AND (∧)

Negation/ NOT (¬)

Implication / if-then (→)

If and only if (⇔).

connective of implication ⇒ is defined as (A ⇒ B) ⇔ ((¬ A) ∨ B).

To know more about logical connective, visit:

brainly.com/question/28258509

#SPJ9

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Suppose the population standard deviation is σ = 5 , an SRS of n = 100 is obtained, and the confidence level is chosen to be 98%
beks73 [17]

Answer:

1.165.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.98}{2} = 0.01

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.01 = 0.99, so z = 2.33

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

In this problem, we have that:

\sigma = 5, n = 100. So

M = z*\frac{\sigma}{\sqrt{n}}

M = 2.33*\frac{5}{\sqrt{100}} = 1.165

So the correct answer is:

1.165.

6 0
4 years ago
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zhannawk [14.2K]

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8 0
3 years ago
Alice and Bob are playing a game. Alice starts first. On Alice's turn, she flips a coin. If she gets a heads, she wins. If not,
trapecia [35]

Answer:

The probability that Alice wins the game=\frac{1}{2}

Step-by-step explanation:

We are given that Alice and Bob are playing a game .

We have to find the probability that Alice wins the game .

If Alice win when she gets head and lose when she gets tail.Bob wins when she gets tail and she lose when she gets head.

Total results in a coin=Head, tail=2

Number of head in a coin=1

Number of tail in a coin= 1

Probability is defined as the possibility of an event that occurred

P(E)=\frac{Number\;of\;favourable\;cases}{total\;of\;cases}

The probability that Alice wins the game=\frac{Number\;of\;favourable\;cases}{Total\;number\;of\;cases}

The probability that Alice wins the game=\frac{number \;of \;heads}{Total\; results}

The probability that Alice wins the game=\frac{1}{2}

8 0
3 years ago
How many solutions does the equation −3x−17=−17−3x have?
harkovskaia [24]

Answer:

an infinite number of solutions

Step-by-step explanation:

−3x −17 = −17 −3x

left side = right side  TRUE because -3x-17 is the same as -17-3x

we can rearrange  the the equation

−3x −17 +17 = −17 +17−3x, add 17 on both sides of the equations

            -3x = -3x, divide both sides by (-3)

               x = x

Since this equation is <u>always true ( for any number ) </u>we have <u>an infinite number of solutions</u> (since there are is an infinity of numbers.)

8 0
3 years ago
How many 12-digit decimal sequences are there that start and end with a sequence of at least two 3s?
stiks02 [169]
Four positions of such a sequence are given to be 3s, and we have 10 choices for the remaining eight positions. So the number of such sequences is

1^4\cdot10^8=10^8=100,000,000

or 100 million.
6 0
3 years ago
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