Answer:
7/15
Step-by-step explanation:
<em>No. of green marbles in the bag= 7</em>
<em>No. of blue marbles in the bag= 8</em>
<em>Total no. of marbles in the bag= 7+8=15</em>
As we know that,
Probability( of a random event A)= 
Hence in this case,
Favourable np. of elementary events (green marbles)=7
Total no. of elementary events (Total no. of marbles in the bag)= 15
Hence, Probability of picking a green marble from the bag=
Solve for d:
(3 (a + x))/b = 2 d - 3 c
(3 (a + x))/b = 2 d - 3 c is equivalent to 2 d - 3 c = (3 (a + x))/b:
2 d - 3 c = (3 (a + x))/b
Add 3 c to both sides:
2 d = 3 c + (3 (a + x))/b
Divide both sides by 2:
Answer: d = (3 c)/2 + (3 (a + x))/(2 b)
-----------------------------
Solve for x:
(3 (a + x))/b = 2 d - 3 c
Multiply both sides by b/3:
a + x = (2 b d)/3 - b c
Subtract a from both sides:
Answer: x = (2 b d)/3 + (-a - b c)
____________________________
Solve for b:
(3 (a + x))/b = 2 d - 3 c
Take the reciprocal of both sides:
b/(3 (a + x)) = 1/(2 d - 3 c)
Multiply both sides by 3 (a + x):
Answer: b = (3 (a + x))/(2 d - 3 c)
Answer: 0.2857
<u>Step-by-step explanation:</u>
At least one teacher means exactly 1 or exactly 2 or exactly 3 teachers. Find the probability of each and add them up.

One teacher + Two teachers + Three teachers = 0.2857
Answer:

Step-by-step explanation:
The Law of Cosines is given as:
.
Plugging in given values, we get:
.
Answer:
use desmos online. itll graph it for you.
Step-by-step explanation: