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aleksklad [387]
3 years ago
7

Which of the following disjunctions is false?

Mathematics
1 answer:
IRINA_888 [86]3 years ago
4 0

Answer:

Option C 3 + 4 = 9 or 5 · 2 = 11 is correct answer

Step-by-step explanation:

Disjunction states that if we have p or q then the disjunction is true if either p is true or q is true or p and q are true.

The disjunction is false when both p and q both are false.

1. 2 · 3 = 6 or 4 + 5 = 10

Disjunction is true because 2.3 =6 is true while 4+5=10 is false

2.  5 - 3 = 2 or 3 · 4 = 12

Disjunction is true because 5-3 =2 is true and 3.4=12 is also true.

3. 3 + 4 = 9 or 5 · 2 = 11

Disjunction is false because 3+4 =7 and not 9 and 5.2 =10 and not 11. Since both are false so, this disjunction is false.

4. 6 · 2 = 11 or 3 + 5 = 8

Disjunction is true because 6.2=12 and not 11 is false but 3+5 = 8 is true.

So, Option C 3 + 4 = 9 or 5 · 2 = 11 is correct answer.

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slava [35]

Answer:

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6 0
2 years ago
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Write the 5th term in the expansion of (5x-y/2)^7
Nezavi [6.7K]

Answer:

65625/4(x^5)(y²)

Step-by-step explanation:

Using binomial expansion

Formula: (n k) (a^k)(b ^(n-k))

Where (n k) represents n combination of k (nCk)

From the question k = 5 (i.e. 5th term)

n = 7 (power of expression)

a = 5x

b = -y/2

....................

Solving nCk

n = 7

k = 5

nCk = 7C5

= 7!/(5!2!) ------ Expand Expression

=7 * 6 * 5! /(5! * 2*1)

= 7*6/2

= 21 ------

.........................

Solving (a^k) (b^(n-k))

a = 5x

b = -y/2

k = 5

n = 7

Substituting these values in the expression

(5x)^5 * (-y/2)^(7-5)

= (3125x^5) * (-y/2)²

= 3125x^5 * y²/4

= (3125x^5)(y²)/4

------------------------------------

Multiplying the two expression above

21 * (3125x^5)(y²)/4

= 65625/4(x^5)(y²)

5 0
3 years ago
Use synthetic division to divide x^3+5x^2−9x−7 by x−2 1 5 -9 -7 The quotient is: _____ The remainder is: ______
RoseWind [281]

Answer:

 The quotient is x² + 6x +3

       Remainder  = -1      

 Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given Polynomial equation

   f(x) = x³+5x²−9x−7

By using synthetic division

 

 <em> x = 2  </em>         1       5       -9      -7

   <u>                   0       1       12     6</u>

  <u>                 1      6         3     </u><em><u> -1   </u></em><u>         </u>

 The quotient is x² + 6x +3

       Remainder  = -1      

5 0
3 years ago
Which is 216 written as a power of a number?
slavikrds [6]
A.63
then answer for user
if a and b has power 4 and 2 respectively the the answer will be, 51
and if not power then,
25
hope it will help you
5 0
3 years ago
Phonics is an instructional method in which children are taught to connect sounds with letters or groups of letters. A sample of
Fantom [35]

Answer:

A 90% confidence interval for the mean number of letter sounds identified in one minute is: (30.84, 37.34).

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 - 0.9}{2} = 0.05

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

That is z with a pvalue of 1 - 0.05 = 0.95, so Z = 1.645.

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.

M = 1.645\frac{23.44}{\sqrt{141}}

M = 3.25

The lower end of the interval is the sample mean subtracted by M. So it is 34.09 - 3.25 = 30.84.

The upper end of the interval is the sample mean added to M. So it is 34.09 + 3.25 = 37.34.

A 90% confidence interval for the mean number of letter sounds identified in one minute is: (30.84, 37.34).

6 0
3 years ago
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