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Alex777 [14]
3 years ago
12

A pair of dice are rolled. What is the probability of rolling 6 or less?

Mathematics
1 answer:
Allushta [10]3 years ago
6 0

Answer:

1/36

Step-by-step explanation:

The probability of rolling a number less than 6 or 6 itself on one die is 1/6. A pair of dice would be the combined probability 1/6*1/6 which is 1/36. So there's a 1/36 chance of having both dice roll numbers less than 6 or 6 itself.

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Step2247 [10]

Answer:

A = 297\pi

Step-by-step explanation:

To solve this problem we need to be familiar with the formula for the surface area of a cone:

A = \pi r(r + \sqrt{h^2+r^2})

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r = \frac{d}{2}\\r = \frac{18}{2}\\r = 9 cm

To calculate the height of the cone, we must use the Pythagorean Theorem:

C^2 = A^2 + B^2

We can treat the side length as the hypotenuse C, the radius as the base A, and solve for height B. Set the expression up like this:

C^2 = A^2 + B^2\\24^2 = 9^2 + B^2\\B^2 = 24^2 - 9^2\\B = \sqrt{24^2 - 9^2}\\B = \sqrt{576 - 81}\\B = \sqrt{495}\\B \approx 22.25

Now we can plug into our original formula:

A = \pi r(r + \sqrt{h^2+r^2})\\A = \pi 9(9+\sqrt{\sqrt{495}^2+9^2}\\A = \pi 9(9+\sqrt{495 + 81}\\A = \pi 9(9+\sqrt{576})\\A = \pi 9(9 + 24)\\A = \pi 9(33)\\A = 297\pi

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If f(x) = 2x2 + 2, find f(5).
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answer for this question 22 if f(5)

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