Give an example of a relation on {a, b, c} that is: 23. reflexive, symmetric, and transitive. 24. reflexive, symmetric, but not transitive. 25. reflexive, transitive, but not symmetric. 26. symmetric, transitive, but not reflexive. 27. reflexive, but neither symmetric nor transitive. 28. symmetric, but neither transitive nor reflexive. 29. transitive, but neither reflexive nor symmetric. 30. neither reflexive, symmetric, nor transitive. 31. symmetric, but not antisymmetric. 32. antisymmetric, but not symmetric. 33. symmetric and antisymmetric 34. neither symmetric nor antisymmetric. 4n on 1a h cl

the answer is c

step-by-step explanation:

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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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step-by-step explanation:

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm