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irina [24]
2 years ago
9

Is the statement ""For every natural number n ≥ 1 there exists a directed graph of n vertices for which every vertex has an inde

gree equal to its outdegree"" TRUE or FALSE?
Mathematics
1 answer:
Semenov [28]2 years ago
5 0

Answer:

The given statement is false.

Step-by-step explanation:

Reason

let D be a directed graph with 'n' no of vertices and 'E' edges.

where 'n'=1.  thus D =(n,E).

In degree: in directed graph the number of incoming edges on a vertex is known as indegree.

it is denoted as deg ⁺(n).

And now we know that in a directed graph

if deg ⁻(n)= deg ⁺(n) for each vertex n.

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If we let the domain be all animals, and S(x) = "x is a spider", I(x) = " x is an insect", D(x) = "x is a dragonfly", L(x) = "x
Sonbull [250]

Answer:

The conditional statement "∀x, If x is an insect, then x has six legs" is derived from the statement "All insects have six legs" using "a. existential" generalization

Step-by-step explanation:

In predicate logic, existential generalization is a valid rule of inference that allows one to move from a specific statement, or one instance, to a quantified generalized statement, or existential proposition. In first-order logic, it is often used as a rule for the existential quantifier in formal proofs.

4 0
2 years ago
Jason Reads 126 pages in 6 hours. Joe reads 115 pages in 5 hours how many more pages per hour does Joe read?
Marizza181 [45]
Jason --> 126/6 = 21 pages per hour

joe --> 115/5 = 23 pages per hour

joe reads 2 more pages per hour

hope this helps :)
4 0
1 year ago
Write the denominator of the rational number257/500 in the form 2 m x 5 n , m and n are negative integers Hence write its decima
maw [93]

Answer:

0.514

Step-by-step Explantion:

Denominator = 500 = 2^2 * 5^3

257/500 = 257/2^2*5^3 = 2*257/2*2^2*5^3 = 514/2^3*5^3 = 514/(2*5)^3 = 514/10^3 = 0.514

6 0
2 years ago
3.75 ÷ 1.50 is equivalent to 375 ÷ 150.<br> The dividend and divisor were both multiplied by
professor190 [17]

Answer:

2.5

Step-by-step explanation:

6 0
2 years ago
What is the probability that a daughter of this mating will be a hemophiliac? Express your answer as a fraction using the slash
schepotkina [342]

Answer:

zero  (0)

Step-by-step explanation:

probability of being hemophiliac and daughter is zero because females have 50% chance of being carrier.

where as males have 50% chance of being affected with hemophilia.

example for understanding: if after mating a girl have X chromosomes with hemophilia gene than she might have hemophilia but that is in rear case so probability is zero.

hope you understand my answer, thank you.

4 0
2 years ago
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