Total games= 20+8+14
=42 games
Fraction of tied games= 8/42
reduce the fraction so that it's 4/21
The ratio would be 4:21
Answer:
66.9 degrees
Step-by-step explanation:
The Law of Sines states that a/sinA = c/sinC. Plugging in the values for c, a, and M < A, we get:
71/sin40 = 102/sinC
Cross multiplying, we get:
102(sin40deg) = 71(sinC)
Now, we simplify the left side and get:
65.56 = 71(sinC)
Next, we divide 65.56 by 71 to get:
0.92 = sinC
Taking the inverse sign we get:
C = 66.9 degrees
Should always be presented while using a factor 2
(3x + 4) / 4 = x - 3
3x + 4 = 4x - 12
-x + 4 = -12
-x = -16
x = 16
Check:
(3x + 4) / 4 = x - 3
(3*16 + 4) / 4 = 16 - 3
(48 + 4) / 4 = 13
52 / 4 = 13
13 = 13
Answer:
0.109
Step-by-step explanation:
Probability is expressed by the number of desirable outcomes over the total outcomes. The total outcomes would be 2^8 because there are two possibilities in each flip, and using the fundamental counting principle, you get 2^8 total outcomes. Next, to find the amount of situations where you only flip two tails, you use 8 choose 2 because we are looking for the amount of ways you can choose 2 out of the 8 to be tails. 8 choose 2 is the same as:
8! / (6! x 2!) - 28
So, the probability is:
28 / 2^8 or 28/256
As a decimal, this is: 0.109375
And rounded to the nearest thousandth it's 0.109
