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masha68 [24]
4 years ago
14

Calculate the Average of...

Mathematics
2 answers:
Leno4ka [110]4 years ago
6 0
The average of a group of numbers can be found by dividing their sum by the size of the group. In this case, each problem involves two numbers, so the pair would be added and then halved.

a. 3 + 43 = 46
46 / 2 = 23
b. (-7.5) + 7.5 = 0
0 / 2 = 0
c. (-8) + 7 = (-1)
(-1) / 2 = (-1/2)
lesantik [10]4 years ago
3 0
You add them and then divide by how many numbers there are.

a. (3+43)/2 = 23
b. 0
c. -1
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Use a truth table to verify the first De Morgan law (p ∧ q)’ ≡ p’ ∨ q’.
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Answer:

(p ∧ q)’ ≡ p’ ∨ q’

Step-by-step explanation:

First, p and q have just four (4) possibilities, p∧q is true (t) when p and q are both t.

p ∧    q

t t t

t f f

f f t

f f f

next step is getting the opposite

(p∧q)'

    <em>f</em>

<em>     t</em>

<em>     t</em>

<em>     t</em>

Then we get p' V q', V is true (t) when the first or the second is true.

p' V  q'

f  <em>f</em>  f

f  <em>t</em>  t

t  <em>t</em>  f

t  <em>t</em>  t

Let's compare them, ≡ is true if the first is equal to the second one.

(p∧q)'   ≡     (p' V q')

    <em>f              f </em>

<em>     t              t</em>

<em>     t              t</em>

<em>     t              t</em>

Both are true, so

(p ∧ q)’ ≡ p’ ∨ q’

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