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Reptile [31]
3 years ago
11

A blue die and a red die are thrown. Each die has six sides, labeled 1 through 6. The dice are fair, so each outcome is equally

likely. What is the probability that the sum of the values on the two dice equals 6?
Mathematics
1 answer:
lidiya [134]3 years ago
3 0

Answer:0.138

Step-by-step explanation:

Given

A blue die and a red die is rolled once such that each face is marked with different number

Favorable outcome of getting 6 is

(5,1) , (1,5) , (4,2) , (2,4) , (3,3)

Total outcomes =36

Probability of getting a sum of 6 is =\frac{5}{36}=0.138  

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The circumference of Circle K is pi. The circumference of Circle L is 4xpi.
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Answer:

Ratio of circumferences: \displaystyle\frac{1}{4}

Ratio of radii: \displaystyle\frac{1}{4}

Ratio of areas: \displaystyle\frac{1}{16}

Step-by-step explanation:

Hi there!

We are given:

- The circumference of Circle K is \pi

- The circumference of Circle L is 4\pi

Therefore, the ratio of their circumferences would be:

\displaystyle\frac{\pi}{4\pi} ⇒ \displaystyle\frac{1}{4} when simplified

The formula for circumference is C=2\pi r, where <em>r</em> is the radius. To find the ratio of the circles' radii, we must identify their radii through their given circumferences.

If the circumference of Circle K is \pi, or 1\pi, then its radius is \displaystyle\frac{1}{2}.

If the circumference of Circle L is 4\pi, then its radius is \displaystyle\frac{4}{2}, which is 2.

Therefore the ratio their radii would be:

\displaystyle\frac{\frac{1}{2}}{{2}} ⇒ \displaystyle\frac{1}{2}*\frac{1}{2} ⇒ \displaystyle\frac{1}{4} when simplified

The formula for area is:

A=\pi r^2

First, let's find the area of Circle K:

A=\pi (\displaystyle\frac{1}{2})^2\\\\A=\displaystyle\frac{1}{4}\pi

Now, let's find the area of Circle L:

A=\pi (2)^2\\A = 4\pi

Therefore, the ratio of their areas would be:

\displaystyle\frac{\frac{1}{4}\pi}{4\pi} ⇒ \displaystyle\frac{\frac{1}{4}}{4} ⇒ \displaystyle\frac{1}{4} * \frac{1}{4} ⇒ \displaystyle\frac{1}{16} when simplified

I hope this helps!

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