Solution :
Colored marble Prize
Red ---- 10 20
Blue --- 38 10
Green --- 26 5
P(red) = 10/74 = 5/37
P(blue) = 38/74 = 19/37
P( green) = 26/74 = 13/37
Therefore,
X → Red Blue Green
P(X) 5/37 19/37 13/37
The expected values are :

= -4.189
Thus it is not profitable to play the game.
Answer: $217.
Step-by-step explanation:
So he starts with 28 dollars. We want to find out how much total he makes. To do so we multiply 21 by 9 because he sells 21 ornaments at $9. 21 x 9 = 189. 189 + 28 = 217. So with the $28 from the start, he made $217.
Answer:
We can see that it is an isosceles triangle so base angles are equal.
Step-by-step explanation:
x + x + 56 = 180
2x = 180 - 56
2x = 124
x = 124/2
Therefore x = 62.
The triangle is drawn and is shown in the image attached with.
We get two similar triangles. Triangle ABC and Triangle ADE. Since the triangles are similar the ratio of their corresponding sides will be the same.
D and E are the midpoints of AB and BC, therefore, AD and AE are both 4 units in length. Using the property of similar triangles, we can say:
AD : DE= AB : BC
AD = 4 units
AB = 8 units
BC = 6 units
DE = unknown = x units
So,

Therefore,
the length of DE will be 3 units