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.  

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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