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CaHeK987 [17]
2 years ago
5

What is the probability that the first marble is blue and the second marble is yellow?

Mathematics
1 answer:
Cloud [144]2 years ago
5 0

Answer:

\frac{1}{14}

Step-by-step explanation:

<u><em>First time drawing:</em></u>

Total outcome is 8

Favorable outcome is 2

The probability that the first marble drawing in random is blue is

\frac{2}{8} = \frac{1}{4}

<u><em>Second time drawing (with no replacement): </em></u>

Total outcome is 7  (8 - 1 = 7)  

Favorable outcome is 2

The probability that the second marble drawing in random is yellow is

\frac{2}{7}

<em>The probability that the first marble is blue and the second marble is yellow is</em> \frac{1}{4} × \frac{2}{7} = \frac{2}{28} = \frac{1}{14}

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11Alexandr11 [23.1K]
<h3>Answer:  3^15</h3>

Work Shown:

3^12 * 27

3^12 * 3^3

3^(12+3)

3^15

I used the rule a^b*a^c = a^(b+c) on the third step.

3 0
2 years ago
-4p+6r-10p+3r simplified?
Natasha2012 [34]

Answer:

\boxed{\bold{-14p+9r}}

Explanation:

Group Like Terms:

= \bold{-4p-10p+6r+3r}

Combine Similar Elements: \bold{-4p-10p=-14p}

= \bold{-14p+6r+3r}

Combine Similar Elements: \bold{6r+3r=9r}

= \bold{-14p+9r}

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7 0
3 years ago
LAST ATTEMPT MARKING AS BRAINLIEST!! ( graph the image of the figure using the dilation given)
Natali5045456 [20]
<h3>Answers:</h3>

W(-2,-1) \to \\W \ ' \ (-4,4)\\\\X(0,2) \to \\X \ ' \ (0,4)\\\\Y(3,-1) \to \\Y \ ' \ (6,-2)\\\\V(-2,-1) \to \\V \ ' \ (-4,-2)\\\\

=====================================================

Explanation:

The scale factor is 2, which means we double each coordinate of each point. The general rule is (x,y) \to (kx,ky) with k = 2. So we can say the more specific dilation rule is (x,y) \to (2x,2y)

Something like W(-2,2) moves to W ' (-4, 4) after multiplying each coordinate by 2. Do the same for the other points as well.

The given preimage points

  • V = (-2, -1)
  • W = (-2, 2)
  • X = (0, 2)
  • Y = (3, -1)

will dilate to the corresponding image points

  • V ' = (-4, -2)
  • W ' = (-4, 4)
  • X ' = (0, 4)
  • Y ' = (6, -2)

as shown below. This causes the image to be larger compared to the preimage (since the scale factor is larger than 1). Any given point is twice as far from the origin as compared to before, which in turn means the distance between any two points is twice as much.

4 0
2 years ago
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FromTheMoon [43]

Answer:

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V \approx 150.796 ft^3

Step-by-step explanation:

To find the volume of a cylinder, you need the this formula:

V = \pi r^2h

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V = \pi 4^2 3

-Then, solve the formula:

V = \pi \times 4^2 \times 3

V = \pi \times 16 \times 3

V = \pi \times 48

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So, the volume of a cylinder is approximately 150.796 ft^3 .

7 0
2 years ago
Expanded form for 48,243. (
Dima020 [189]
(4*10,000)+(8*1,000)+(2*100)+(4*10)+(3*1)

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That is one way. You can also do this using exponential form!

Hope that helps

4 0
3 years ago
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