<em><u>Planning is the process of thinking about the activities required to achieve a desired goal.</u></em>
Answer:
6.4
Step-by-step explanation:
The given triangle is a Right Angled Triangle with right angle at E.
So, measure of angle E = 90 degrees
measure of angle D = 62 degrees
measure of side FE = 12
We have to find the measure of side DE. Note that side DE is adjacent to Angle D and side FE is opposite to angle D. So we can use tangent ratio to find the measure of DE.
Therefore, the value of DE, rounded to nearest tenth is 6.4
Answer:
5/6
Step-by-step explanation:
Let be the random variable representing the winnings you get for playing the game. Then
First thing to do is determine the probability of each of the above events. You roll two dice, which offers 6 * 6 = 36 possible outcomes. You find the probability of the above events by dividing the number of ways those events can occur by 36.
- The sum is odd if one die is even and the other is odd. This can happen 2 * 3 * 3 = 18 ways. (3 ways to roll even with the first die, 3 ways to roll odd for the die, then multiply by 2 to count odd/even rolls)
- The sum is 4 if you roll (1, 3), (2, 2), or (3, 1), and the sum is 8 if you roll (2, 6), (3, 5), (4, 4), (5, 3), or (6, 2). 8 ways.
- The sum is 2 if you roll (1, 1), and the sum is 12 if you roll (6, 6). 2 ways.
- There are 36 total possible rolls, from which you subtract the 18 that yield a sum that is odd and the other 10 listed above, leaving 8 ways to win nothing.
So the probability mass function for this game is
The expected value of playing the game is then
or about $7.89.
The expected value is positive, so a player can expect to earn money in the long run, and so should play the game.