Which of the following is the standard deviation of the random variable x, the number that appears on a die, if the probability of any number on a fair, 9-sided die is 1/9? a.2.582 b.2.739 c.0.11 d.4.5

Answer with explanation:

When a dice with 9 faces are rolled total possible outcome =9

→x={1,2,3,4,5,6,7,8,9}

Probability of getting any number from 1 to 9 , when the die is rolled once

Standard Deviation

Option A→2.582          

answer with step-by-step explanation:

a. ∠j is supplementary to ∠k - true:

(opposite angles of a trapezoid are supplementary which means that they add up to 180 degrees)

b. kl is parallel to jm - true:

(opposite sides are parallel to each other in a trapezoid)

c. jk is perpendicular to kl - false:

(clearly, jk does not make a right angle with kl)

d. jk is parallel to lm - false:

(jk and lm are two lines opposite in direction to each other so they cannot be parallel)

e. ∠j is congruent to ∠m - true:

(the angles on each side of the base are congruent)

f. ∠j is congruent to ∠k - false:

(the angles on the same side but opposite side of the base are not congruent)

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step-by-step explanation: