When filling out the 2000 census, people could choose one of four options to describe their marital status. data from the 2000 census were used to compute the following probabilities.
marital status never married married widowed divorced
probability 0.239 0.595 0.068 ?
what is the probability that a randomly selected u. s. adult is divorced?
a. 0.239
b. 0.068
c. 0.902
d. 0.098

   D.  0.098

Step-by-step explanation:

The probabilities of all choices must total 1, so we have ...

  p(never) + p(married) + p(widowed) + p(divorced) = 1

  p(divorced) = 1 - (p(never) + p(married) + p(widowed))

  = 1 - (0.239 + 0.595 + 0.068) = 1 - 0.902

  p(divorced) = 0.098

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)

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18