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2 years ago

Which of the following Illusions the truth value of given statements ? 5 is less than 7 or 7 is less than 12.

2 answers:

6 0

An OR statement (written $A \lor B$ ) is true if either one of the statements is true, or both. This is the truth table:

$\begin{array}{cc|c}T&T&T\\T&F&T\\F&T&F\\F&F&F\end{array}$

In this case, both statements are true, because 5 is indeed smaller than 7, and 7 is smaller than 12. This means that you're in the first row of the truth table, and so the correct option is the first.

Burka [1]2 years ago

3 0

It's the first answer it's true true

You might be interested in

Which set of population data is the least dispersed from its mean? 2, 3, 2, 9 4, 0, 4, 0 6, 2, 2, 2 9, 3, 5, 3.

exis [7]

The set of data 6, 2, 2, 2 will have the least dispersion from its mean.

From four sets of data, we take the mean of 6,2,2,2

$\rm mean =\dfrac{ Sum \ of\ data}{Number \ of\ data}$

So the mean will be

$\rm mean =\dfrac{ 6+2+2+2}{4}=\dfrac{12}{4} =3$

So the mean of the data (6,2,2,2) is 3 which has the least dispersion from its every data as compared to the other data

Thus the set of data 6, 2, 2, 2 will have the least dispersion from their mean.

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To know more about mean follow

brainly.com/question/1136789

7 0

1 year ago

Write an equation perpendicular to x-4y=20 that passes through the point 2,-5

marshall27 [118]

Answer:

4x +y = 3

Step-by-step explanation:

Perpendicular lines have slopes that are the negative reciprocals of one another. When the equation of the line is written in standard form like this, the equation of the perpendicular line can be written by swapping the x- and y-coefficients and negating one of them. Doing this much would give you ...

4x +y = (constant)

Note that we have chosen to make the equation read 4x+y, not -4x-y. The reason is that "standard form" requires the leading coefficient to be positive.

Now, you just need to make sure the constant is appropriate for the point you want the line to go through. So, it needs to be ...

4(2) +(-5) = constant = 3

The line of interest has equation ...

4x + y = 3

3 0

3 years ago

Look at the rectangle and the square:

VashaNatasha [74]

Answer:

She is incorrect

Step-by-step explanation:

Pythagorean theorem:

16^2+8^2

256+64=320

320 is 17.89

8^2+8^2

64+64=128

√128 is 11.31

Ada is incorrect. The length of diagonal SQ is bigger than the length of diagonal OM. But it is not two times bigger.

5 0

2 years ago

Which postulate or theorem can be used to

sveticcg [70]

Answer:

AA Similarity Postulate

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

step 1

Verify the proportion of the corresponding sides

$\frac{PS}{PQ}=\frac{PT}{PR}$

substitute

$\frac{45}{20}=\frac{36}{16}$

$2.25=2.25$ ----> is true

Corresponding sides are proportional

Triangle PQR is similar to Triangle PST

That means

Corresponding angles must be congruent

side QR is parallel side ST

and

$m\angle PQR=m\angle PST$ ----> by corresponding angles

$m\angle PRQ=m\angle PTS$ --> by corresponding angles

PQR is similar to PST by AA Similarity Postulate

4 0

3 years ago

A box has five items, three good and two defective. three items are selected at random without replacement. let x be the number

user100 [1]

This problem can be solved from first principles, case by case. However, it can be solved systematically using the hypergeometric distribution, based on the characteristics of the problem:
- known number of defective and non-defective items.
- no replacement
- known number of items selected.

Let
a=number of defective items selected
A=total number of defective items
b=number of non-defective items selected
B=total number of non-defective items
Then
P(a,b)=C(A,a)C(B,b)/C(A+B,a+b)
where
C(n,r)=combination of r items selected from n,
A+B=total number of items
a+b=number of items selected

Given:
A=2
B=3
a+b=3
PMF:
P(0,3)=C(2,0)C(3,3)/C(5,3)=1*1/10=1/10
P(1,2)=C(2,1)C(3,2)/C(5,3)=2*3/10=6/10
P(2,0)=C(2,2)C(3,1)/C(5,3)=1*3/10=3/10
Check: (1+6+3)/10=1 ok
note: there are only two defectives, so the possible values of x are {0,1,2}

Therefore the
PMF:
{(0, 0.1),(1, 0.6),(2, 0.3)}

7 0

2 years ago