n ΔXYZ, m∠X = 90° and m∠Y = 30°. In ΔTUV, m∠U = 30° and m∠V = 60°. Which is true about the two triangles? ΔXYZ ≅ ΔTUV ΔXYZ ≅ ΔVU
2 answers:
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Answer:
The expected payoff for this game is -$1.22.
Step-by-step explanation:
It is given that a pair of honest dice is rolled.
Possible outcomes for a dice = 1,2,3,4,5,6
Two dices are rolled then the total number of outcomes = 6 × 6 = 36.
The possible ways of getting a total of 7,
{ (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) }
Number of favorable outcomes = 7
Formula for probability:
So, the possibility of getting a total of 7 =
The possible ways of getting a total of 11,
{(5,6), (6,5)}
So, the probability of getting a total of 11 = =
Now, other possible rolls = 36 - 6 - 2 = 36 - 8 = 28,
So, the probability of getting the sum of numbers other than 7 or 11 = =
Since, for the sum of 7, $ 22 will earn, for the sum of 11, $ 66 will earn while for any other total loss is $11,
Hence, the expected value for this game is
Therefore the expected payoff for this game is -$1.22.
<h2>Answer with explanation:</h2>
To write an inequality and show on a number line all numbers: greater than (−3) but less than or equal to 3
Let n be the number, then -3 < n ≤3 .
On number line we mark open circle at -3 (since it has a strictly less than sign) and a closed circle at 3 (since it has a less than and equal to sign) .
To the required inequality that shows all the numbers greater than (−3) but less than or equal to 3 : -3 < n ≤3 and the number line is represented below.