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3 years ago

There is a bag filled with 2 blue, 4 red and 5 green marbles.

Mathematics

1 answer:

Vinil7 [7]3 years ago

6 0

<h3>Answer: 45/121</h3>

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Work Shown:

2 blue, 4 red, 5 green

2+4+5 = 11 total

P(blue) = probability of getting one blue marble

P(blue) = (number of blue)/(number total)

P(blue) = 2/11

A = P(2 blue) = (2/11)*(2/11) = 4/121

P(red) = 4/11

B = P(2 red) = (4/11)*(4/11) = 16/121

P(green) = 5/11

C = P(2 green) = (5/11)*(5/11) = 25/121

Add the values of A,B, and C to get the probability of getting two of the same color

A+B+C = 4/121+16/121+25/121 = 45/121

This is approximately equal to 0.3719 which is roughly a 37.19% chance of happening

Side note: we can add A,B, and C because they are mutually exclusive events.

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Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unkno

spin [16.1K]

The other endpoint is (1, -17).

The midpoint formula is:

$m=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

Using our midpoint and endpoint, we have:
$(6, -11) = (\frac{11+x_2}{2}, \frac{-5+y_2}{2})
\\
\\6=\frac{11+x_2}{2} \text{ and } -11=\frac{-5+y_2}{2}
$

For the first equation (to find the x-coordinate) we will multiply both sides by 2:
$6\times2=\frac{11+x_2}{2}\times 2
\\
\\12=11+x_2$

Subtract 11 from both sides:
12 - 11 = 11+x₂ - 11
1 = x₂

For the second equation (the y-coordinate) we multiply both sides by 2:
$-11\times2=\frac{-5+y_2}{2}\times 2
\\
\\-22=-5+y_2$

Add 5 to both sides:
-22+5 = -5+y₂ + 5
-17 = y₂

This means that (x₂, y₂) is at (1, -17).

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3 years ago

A street vendor earns $20 for each day of work plus $4 for

loris [4]

Answer:

(C)

Step-by-step explanation:

20 for each day=20x

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20x+4x

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3 years ago

Please Help with this Problem!

tatiyna

Answer: 3.5, 4.5, 9.5, 3.5

Step-by-step explanation:

Look at the image below to see where A, B, C, and D are.

A + B = 8

B + D = 8

A + C = 13

C - D = 6

we can see that A + B = 8 and D + B = 8, so A = D

substitute this into A + C = 13 to get D + C = 13

from D + C = 13 we can get D = 13 - C

plug this into C - D = 6 to get C - (13 - C) = 6

2C - 13 = 6

2C = 19

C = 9.5

Now we can find D = 13 - C = 13 - 9.5 = 3.5

D = 3.5

Now we can find A = D = 3.5

A = 3.5

Now we can find B from A + B = 8

B = 8 - A = 8 - 4.5 = 4.5

B = 4.5

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