If 6 newborn babies are randomly selected how many different gender sequences are possible

Hence, 15 different gender sequences are possible when 6 newborn babies are randomly selected.

Step-by-step explanation:

Number of randomly selected babies = 6

We need to find the possible number of different gender sequences.

Now, number of generally found genders = 2 (Male and Female)

So, we have to select 2 possibilities from a total of 6 babies.

This can be calculated by using the concept of combinations.

Hence, 15 different gender sequences are possible when 6 newborn babies are randomly selected.

a is the right answer

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is