Only 40% of the students in a certain liberal arts college are males.Question 10 of 11 If two students from this college are selected at random, what is the probability that they are both males

0.16

Step-by-step explanation:

Given;

40% males.

If two students are selected at random, probability (P) that they are both males is given as follows;

P = P(1) x P(2)

Where;

P(1) = Probability that the first one is a male

P(2) = Probability that the second one is also a male

Remember that there are 40% males.

This means that 40 out of 100 students selected is going to be a male.

Therefore, for the first selection, any of the 40 students could be selected. The probability P(1), that the first one is male is therefore;

40 / 100 = 0.4

Also,

Assuming there is replacement, for the second selection, any of the 40 students could be selected. The probability P(2), that the second one is also male is therefore;

40 / 100 = 0.4

Now, from;

P = P(1) x P(2)

P = 0.4 x 0.4

P = 0.16

The probability that they are both males is therefore 0.16

C)Reflecting over the x-axis and then reflecting over the line y = x.  

Step-by-step explanation:

A rotation 90° counterclockwise will map every point (x, y) to (-y, x).

Since the x- and y-coordinates are switched, this is not a reflection across the x-axis followed by a reflection across the y-axis.

Since the y-coordinate is negated and the x- and y-coordinates are switched, this is not a translation.

Reflecting across the x-axis will negate the y-coordinate, giving us (x, -y).  Following this with a reflection across y=x will switch the coordinates giving us (-y, x).  This is the correct transformation.