Of all the Sunny Club members in a particular city, 25% prefer swimming on weekends and 75% prefer swimming on weekdays. It is found that 10% of the members in that city prefer swimming on weekends and are female, while 55% of the members in that city prefer swimming on weekdays and are female.
The probability that a club member picked randomly is female, given that the person prefers swimming on weekends, is

40%

Step-by-step explanation:

If we call by A the members that prefer swimming on weekends and by B the members that are women, we have that:

P(A) = 0.25

P(A and B) = 0.1

The probability of a member being female given that the person prefers swimming on weekends can be expressed as P(B|A) (that is, probability of B given A).

To find this value, we can use this formula:

P(B|A) = P(A and B) / P(A) = 0.25

So we have that:

P(B|A) = 0.1 / 0.25 = 0.4 = 40%

12*c

step-by-step explanation:

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".