Trapezoid abcd is congruent to trapezoid a"b"c"d" . which sequence of transformations could have been used to transform trapezoid abcd to produce trapezoid a"b"c"d" ? a. trapezoid abcd was reflected across the y-axis and then across the x-axis. b. trapezoid abcd was reflected across the y-axis and then translated 7 units up. c. trapezoid abcd was translated 7 units up and then 12 units left. d. trapezoid abcd was reflected across the x-axis and then across the y-axis.

Using the binomial distribution, it is found that there is a 0.545 = 54.5% probability that of the 3 cards drawn, at least 1 is a face card.

For each card drawn, there are only two possible outcomes, either it is a face card, or it is not. The probability of a card being a face card is independent of any other card, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

The parameters are:

In this problem:

The probability of at least one face is given by:

In which:

Then:

0.545 = 54.5% probability that of the 3 cards drawn, at least 1 is a face card.

A similar problem is given at link