<span>To begin you have to find the midpoint of the side with (2,4) and (-4,2) as vertexes.
[ 2 + -4 ] / 2, [ 2 + 4 ] / 2 ) = (-1, 3)
Then you have to find the point 2/3 of the distance from (0,-2) to (-1,3) =
(0 + (-1 - 0) (2/3) , -2 + ( 3 - -2)(2/3) )
( 0 - 2/3, -2 + (5)(2/3) )
(-2/3, -2 +10/3 )
The coordinates of the centriod of a triangle are (-2/3 , 4/3 )</span>
Answer: 60
Step-by-step explanation:
mean: you just add all 15 numbers then divide the number you get by 15.
55+57+57+58+59+59+59+59+59+61+62+62+63+64+66=900
900/15=60
Where? Are the expressions?
To check all the events (6), we label the chips. Suppose one chip with 1 is labeled R1 and the other B1 (as if they were red and blue). Now, lets take all combinations; for the first chip, we have 4 choices and for the 2nd chip we have 3 remaining choices. Thus there are 12 combinations. Since we dont care about the order, there are only 6 combinations since for example R1, 3 is the same as 3, R1 for us.
The combinations are: (R1, B1), (R1, 3), (R1, 5), (B1, 3), (B1, 5), (3,5)
We have that in 1 out of the 6 events, Miguel wins 2$ and in five out of the 6 events, he loses one. The expected value of this bet is: 1/6*2+5/6*(-1)=-3/6=-0.5$. In general, the expected value of the bet is the sum of taking the probabilities of the outcome multiplied by the outcome; here, there is a 1/6 probability of getting the same 2 chips and so on. On average, Miguel loses half a dollar every time he plays.
