Given:
Number of red marbles = 5
Number of blue marbles = 4
Number of yellow marbles = 3
To find:
The probability of pulling a red marble, then pulling a blue marble, without replacement.
Solution:
Probability formula:

We have,
Number of red marbles = 5
Total number of marbles is:

Probability of getting a red marble is:

After selecting one red marble, the remaining number of marbles is 11 and the number of blue marbles is 3. So,

Now, the probability of pulling a red marble, then pulling a blue marble, without replacement is:




Therefore, the correct option is B.
I think it's 50.256in but I'm not completely sure
Answer:
x = -27
Step-by-step explanation:
Simplifying
5(x + 3) = 4(x + -3)
Reorder the terms:
5(3 + x) = 4(x + -3)
(3 * 5 + x * 5) = 4(x + -3)
(15 + 5x) = 4(x + -3)
Reorder the terms:
15 + 5x = 4(-3 + x)
15 + 5x = (-3 * 4 + x * 4)
15 + 5x = (-12 + 4x)
Solving
15 + 5x = -12 + 4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x' to each side of the equation.
15 + 5x + -4x = -12 + 4x + -4x
Combine like terms: 5x + -4x = 1x
15 + 1x = -12 + 4x + -4x
Combine like terms: 4x + -4x = 0
15 + 1x = -12 + 0
15 + 1x = -12
Add '-15' to each side of the equation.
15 + -15 + 1x = -12 + -15
Combine like terms: 15 + -15 = 0
0 + 1x = -12 + -15
1x = -12 + -15
Combine like terms: -12 + -15 = -27
1x = -27
Divide each side by '1'.
Answer:
Kim is 3, Tom is 12
Step-by-step explanation:
4x + x = 15
combine like terms
5x = 15
divide both sides by five
x = 3
Numbers called “elements” or “terms” of a sequence