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Flura [38]
2 years ago
12

A bag contains 7 red marbles, 8 blue marbles and 5 green marbles. If two marbles are drawn out of the bag, what is the probabili

ty, to the nearest 10th of a percent, that both marbles drawn will be green?
Mathematics
1 answer:
Ksenya-84 [330]2 years ago
6 0

Answer: 0.053

Step-by-step explanation:

n(r) = 7

n(b) = 8

n ( g) = 5

Total number of marbles = 20

The probability that both marbles drawn will be green will be

The probability of the first being green = 5/20 and the probability that the second marble is green = 4/19.

We will multiply the two together , we have

5/20 x 4/19 = 20/380 = 0.05263157895

Therefore : the probability, to the nearest 10th of a percent, that both marbles drawn will be green will be 0.053

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4x + y = 7<br>3x + 2y = 9​
Diano4ka-milaya [45]

Answer:

x = 1

y = 3

Step-by-step explanation:

<h2><em><u>Substitution Method</u></em><em><u>:</u></em></h2>

Step 1:

Name The Equation

4x + y = 7 ...(1)

3x + 2y = 9 ...(2)

Step 2:

From Equation (1) we get,

4x = 7 - y

i.e.,

x = 7 - y/4

Step 3:

Substitute the value of <em><u>x = 7 - y/4</u></em> in equation (2)

i.e.,

3(7 - y/4) + 2y = 9

21 - 3y/4 + 2y = 9

21 - 3y + 8y/4 = 9

21 - 3y + 8y = 9 * 4

21 + 5y = 36

5y = 36 - 21

5y = 15

y = 15/5

<em><u>y = 3</u></em>

Step 4:

Substitute the value of <em><u>y = 3</u></em> in equation (1)

4x + y = 7

i.e.,

4x + (3) = 7

4x + 3 = 7

4x = 7 - 4

4x = 4

x = 4/4

<em><u>x = 1</u></em>

<h2><em><u>Verification</u></em><em><u>:</u></em><em><u> </u></em></h2>

4x + y = 7 i.e., <em>4(1) + (3) = 7</em>

3x + 2y = 9 i.e., <em><u>3(1) + 2(3) = 9</u></em>

3 0
2 years ago
Solve x3 – 25<br> Please HELP
Iteru [2.4K]
There is no solution it’s in final form
8 0
3 years ago
Read 2 more answers
A ramp slopes from a warehouse door down to the street. The height of the ramp is 5 feet, and the ramp ends 10 feet from the bas
Tomtit [17]
If you graph this, your first point will be at (0,5), as the ramp is at the warehouse door but 5 feet up. The second point is (10,0) as it is touching the ground but it's 10 feet away from the warehouse.
To find slope, you do (y2-y1)/(x2-x1).
When substituting in the variables, you get (0-5)/(10-0), which is -5/10, which is simplified to -1/2. Of course, that is when the warehouse is Quadrant II. If you look at it from another point of view, the slope will be positive so your answer is A) 1/2.
If this was unclear feel free to comment :)
3 0
2 years ago
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PLZ HELP ITS DUE TODAY!!!!
coldgirl [10]

Answer:

2.69827 × 10⁹

Step-by-step explanation:

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2 years ago
Classify Angle 1 &amp; Angle 2 by choosing the correct term from the choices below.
valkas [14]

Answer:

Vertical

Step-by-step explanation:

Intersecting lines form Vertical angles.

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