In parallelogram, LMNO,
Because Opposite angles are equal:
Therefore, 2x = 3x -55
Or x= 55
Now, the sum of angles in a parallelogram is 360
2x+3x-55+5y+5y =360
5x +10y -55 = 360
5*55 -55 + 10y = 360
10y +220 = 360
10y = 140
y=14
Thus, x=55 and y= 14
Answer:
Then the black cards=12
Step-by-step explanation:
N of red=3
N of black=10
and we have ratio 3:10
think when we ⇒ add 2 to red, will be 5:10= 1:2 not equal to 1:3
⇒add 1 to red and 1 to black, the ratio will be 4:11 not equal to 1:3
⇒add 2 to black, the ratio will be 3:12 = 1:3
Then the black cards=12
hope this helps!
The x values range from -6 to 6, *including* those two numbers, so the domain is [-6, 6], and the y values range from -2 to 2, also inclusively, so the range is [-2, 2]
Expected value is $20.20
Step-by-step explanation:
Here, we want to calculate the expected value
What we have to do here is to multiply the probability by the payout value; after which we add all values
Thus, we have the payout value as;
1(0.12) + 4(0.2) +6(0.38) + 8(0.2) + 10(0.1)
= 0.12 + 0.8 + 2.28 + 1.6 + 1
