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givi [52]
3 years ago
13

You roll two dice. What is the probability that the sum of the dice is prime and both dice show the number 6?

Mathematics
1 answer:
Eduardwww [97]3 years ago
7 0
 <span>The probability of both dice showing 6: 

The total possible outcomes of rolling 2 dice is 36. (1+1,1+2,..., 6+5, 6+6). Only one of these 36 rolls give two 6s. Hence, The probability of both dice showing 6 is 1/36 (1 in 36). 


We have 1 + 2 + 4+ 6 +2 ways to get prime rolls, which is a total of 15 ways. 
Hence the probability of getting a prime is 15/36.</span>
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3 years ago
What is the discriminant of 32x-4= 4x^2 + 60
hodyreva [135]

Step One

Begin by getting one side of the question equal to zero.

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Step Two

For this question, you could divide both sides by 4. It just makes the steps later on easier.

0 = x^2 - 8x + 16

Step Three

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4 0
3 years ago
A tower is 105' tall. it casts a shadow 33' long. what is the angle of depression?
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2 years ago
Find the shortest distance, d, from the point (5, 0, −6) to the plane x + y + z = 6.
DENIUS [597]

Answer:

\frac{7}{\sqrt{3}}

Step-by-step explanation:

The shortest distance d, of a point (a, b, c) from a plane mx + ny + tz = r is given by:

d = |\frac{(ma + nb + tc - r)}{\sqrt{m^2 + n^2 + t^2}} |                   --------------------(i)

From the question,

the point is (5, 0, -6)

the plane is x + y + z = 6

Therefore,

a = 5

b = 0

c = -6

m = 1

n = 1

t = 1

r = 6

Substitute these values into equation (i) as follows;

d = |\frac{((1*5) + (1*0) + (1 * (-6)) - 6)}{\sqrt{1^2 + 1^2 + 1^2}} |

d = |\frac{((5) + (0) + (-6) - 6)}{\sqrt{1 + 1 + 1}} |

d = |\frac{(-7)}{\sqrt{3}} |

d = \frac{7}{\sqrt{3}}

Therefore, the shortest distance from the point to the plane is  d = \frac{7}{\sqrt{3}}

5 0
3 years ago
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