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zaharov [31]
1 year ago
8

A jar contains 2 green marbles, 4 blue marbles, and 3 yellow marbles. A marble is chosen at random from the jar and replaced. Fi

nd the possibility that the first marble is green and the second is yellow.
Mathematics
1 answer:
omeli [17]1 year ago
8 0

Answer:

2/27

Explanation:

• Number of green marbles = 2

,

• Number of blue marbles = 4

,

• Number of yellow marbles = 3

Total = 2+4+3 =9

• Probability of choosing a green marble = 2/9

,

• Probability of choosing a yellow marble = 3/9

Therefore, the possibility that the first marble is green and the second is yellow is:

\begin{gathered} =\frac{2}{9}\times\frac{3}{9} \\ =\frac{2}{27} \end{gathered}

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The answer would be 98 people who voted for Goron.
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3 years ago
Someone please helppp
mel-nik [20]

Answer:

k = 5/6

Step-by-step explanation:

First, we can make this have the form of a quadratic function, or ax²+bx+c=0. To do this, we can first subtract 10x from both sides to get

(2k+1)x²-8x=-6

Next, we can add 6 to both sides, resulting in

(2k+1)x²-8x+6 = 0

For a quadratic function of form ax²+bx+c=0, we can see that a=2k+1, b=-8, and c=6. We can then apply the quadratic equation, or

x= (-b ± √(b²-4ac))/(2a) to get our roots to be

x= (8 ± √(64-4(6)(2k+1)))/(2*(2k+1))

=  (8 ± √(64-(48k+24)))/(4k+2)

=  (8 ± √(40-48k))/(4k+2)

For the roots to be equal, we must have the two roots equal to each other. We can write this as

(8 + √(40-48k))/(4k+2) = (8 - √(40-48k))/(4k+2)

multiply both sides by (4k+2) to remove the denominator

8+√(40-48k) = 8 - √(40-48k)

subtract 8 from both sides to isolate the square roots

√(40-48k) = - √(40-48k)

The only number that is equal to its negative self (and is real) is 0. Therefore, √(40-48k) = - √(40-48k) = 0, so we have

√(40-48k) = 0

square both sides to remove the square root

40-48k = 0

add 48k to both sides to isolate the k and its coefficient

40 = 48k

divide both sides by 48 to isolate k

k = 40/48 = 5/6

7 0
3 years ago
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The difference between the circumference of circle X and circumference of circle Y is 5π cm.

<h3>What is circumference of a circle?</h3>

This is the distance round a circle.

The circumference of circle X is calculated as follows;

C_X = \pi d\\\\&#10;C_X = 15\pi \ cm

The circumference of circle Y is calculated as follows;

C_Y = \pi d\\\\&#10;C_Y = 20 \pi \ cm

The difference between the circumference of circle X and circumference of circle Y is calculated as follows;

C_Y - C_X = 20\pi - 15 \pi = 5\pi \ cm \\\\&#10;

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Learn more about circumference of  a circle here: brainly.com/question/9782777

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2 years ago
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How would you translate this situation below into an algebraic expression?
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Dime value: $0.10
Nickel value: $0.05

For this word problem, you are asked to create an algebraic expression (an equation) for the unknown variables. 

Now, we know that a dime is worth $0.10 or 10 cents and a nickel is worth $0.05 or 5 cents. So, all you would have to do is create an equation that takes those values into account. 
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Your algebraic expression would be B. 5n + 10d

I hope this helps!
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Answer:

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Step-by-step explanation:

1.) y-1=1(x+9)

2.) y-1=x+9

3.) y=x+10

8 0
3 years ago
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