There are 7 marbles, including 3 green ones, so at the start, there is a 3/7 chance of getting a green marble.
Assuming you did get a green one, there are now 6 marbles left, with 2 blue marbles, so there is a 2/6 chance of taking a blue marble.
Given that both have to happen, you must multiply each probability, hence the total probability is 3/7 x 2/6, or a 1/7 chance.
Hope this helped
The correct answer for this question is this one: "D it increases by $1,800,000"
<span>If the federal reserve decreases the reserve rate from 2.5% to 1.25%, this affect the amount of money that would result because of fractional reserve banking from an initial deposit in a bank of $45,000 is that </span><u>it increases by $1,800,000</u>Hope this helps answer your question and have a nice day ahead.
Answer:
1/8
Step-by-step explanation:
sin²(π/8) − cos⁴(3π/8)
Use power reduction formulas:
1/2 (1 − cos(2×π/8)) − 1/8 (3 + 4 cos(2×3π/8) + cos(4×3π/8))
Simplify:
1/2 (1 − cos(π/4)) − 1/8 (3 + 4 cos(3π/4) + cos(3π/2))
1/2 (1 − √2/2) − 1/8 (3 + 4 (-√2/2) + 0)
1/2 − √2/4 − 1/8 (3 − 2√2)
1/2 − √2/4 − 3/8 +√2/4
1/2 − 3/8
1/8
Only -√5 will do the trick. Otherwise you're stuck with the irrational √5.
The value of 'k' in the quadratic Equation 
having one rational solution is k is 8.
<h3>
What is a Quadratic Equation?</h3>
- Quadratic equations are the polynomial equations of degree 2 in one variable of the type
where a, b, c, ∈ R and a ≠ 0. - The standard form of a quadratic equation is
.
Here, the given equation is
By comparing the given equation with the standard form of the quadratic equation we get,
a = 4
b = k
c = 4
The given quadratic is having one rational solution, which means 
Therefore,
Therefore, the value of k is 8.
Learn more about the quadratic equation is brainly.com/question/8649555
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