For each of the following relation on N, the of set positive integers, determine which of the five properties are satisfied. R= {(x, y) | x + y is odd }

a. Reflexive
b. Irreflexive
c. Symmetric
d. Antisymmetric
e. Transitive

b. irreflexive

c. Symmetric

e. Transitive

Step-by-step explanation:

For a positive integer, the variable can be Reflexive if it is to be independent and can complete the set on itself. For symmetric both variables can be interchangeable. For transitive both variables can display same function. In the given function both variables are odd, they are symmetric.

step-by-step explanation:

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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