Li rolls a number cube that has sides labeled 1 to 6 and then flips a coin. what is the probability that she rolls an odd number and flips tails? a. 1/2 b. 1/4 c. 1/2 d. 3/4

The probability of rolling an odd number and flipping tails is B. 1/4.

Step-by-step explanation:

Rolling a number cube and flipping a coin are both examples of Independent Events.  Independent events are events of probability that do not rely on previous events.  This means that no matter how many times we flip the coin or roll the die, our odds for a certain outcome are the same.  Probability can be expressed as a fraction of:  the number of desired outcomes/the total number of outcomes.  In the case of a number cube with numbers 1 - 6, the odds of rolling an odd number (1, 3, 5) is 3/6, or 1/2.  Likewise, the odds that you flip a coin and get tails is 1/2.  Because we are combining these events, we take the probability of each and multiply them:  1/2 x 1/2 = 1/4.  

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".

the answer is b.)

< 1=< 2