Answer:
8 = x
Step-by-step explanation:
all three sides are equal, so it is an equilateral triangle
if it is an equilateral triangle, each angle is 180/3 = 60 degrees
therefore
60 = 7x+4
subtract 4 from each side
60-4 = 7x+4-4
56 = 7x
divide by 7 on each side
56/7 = 7x/7
8 = x
Answer:
9/25 or 36%
Step-by-step explanation:
The probability of selecting the fair coin is 1/2, and the probability of getting heads with the fair coin is 1/2.
P(fair) = 1/2, P(heads | fair) = 1/2
The probability of selecting the unfair coin is 1/2, and the probability of getting heads with the unfair coin is 2/3.
P(unfair) = 1/2, P(heads | unfair) = 2/3
P(fair and 2 heads) = 1/2 (1/2)²
P(fair and 2 heads) = 1/8
P(2 heads) = 1/2 (1/2)² + 1/2 (2/3)²
P(2 heads) = 1/8 + 2/9
P(2 heads) = 25/72
Therefore, the probability that you selected the fair coin, given that you flipped 2 heads, is:
P(fair | 2 heads) = (1/8) / (25/72)
P(fair | 2 heads) = (1/8) (72/25)
P(fair | 2 heads) = 9/25
2) you should put it in fraction terms, your answer is right, but it looks better as y/22
4) you don't need the dot, you can just write 2/3 x
7) same thing as 2, 2z/8
11) same thing as 2, c/4
They're all right :)
I think the value of x is 15
36/42
multiply the top and bottom by 6.
7 x 6 = 42
6 x 6= 36