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masha68 [24]
3 years ago
6

What is the probability of getting either a sum of 5 or at least one 5 in the roll of a pair of dice?

Mathematics
1 answer:
maria [59]3 years ago
4 0
In a throw of 2 fair dice, there are 6*6=36 equiprobability outcomes.

To get a sum of 5, there are 4 ways, (1,4),(2,3),(3,2),(4,1) with probability of 4/36=1/9

To get at least one 5, there are 6+6-1=11 outcomes (note (5,5) has been counted in both, so subtracted from sum).  The probability is 11/36

Since the two events are mutually exclusive (once we have a five, the sum can no longer be 5), we can add the probabilities to get the probability of one event or the other.

P(sum of 5 OR at least one 5)=1/9+11/36=4/36+11/36=15/36=5/9
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The center of a circle is at the origin on a coordinate grid. A line with a positive slope intersects the circle at (0, 7). Whic
denis23 [38]

The true statement is the circle has the radius equal to 7.

<h3>What is Equation of circle?</h3>

The general equation for a circle is (x-h)² + (y-k)² = r², where ( h, k ) is the center and r is the radius.

As, standard form of equation of circle is

(x-h)² + (y-k)² = r²

At origin, equation of circle will be

(0-h)² + (0-k)² = r²

r² = x² + y²

Now, The line intersects the circle at (0,7)

r² = 0² + 7²

r² =49

r=7.

Hence, the circle has the radius equal to 7.

Learn more about this concept here:

brainly.com/question/11702700

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3 0
1 year ago
there's some number that if you subtract 15 from it first, and then multiply that total by 7, the result is 28. find the number
yulyashka [42]
(x-15)*7=28

x-15=4

x=19

Final answer: 19
6 0
3 years ago
Read 2 more answers
5 x 5 = 10 x 5= 20 x 5 = Answer these 3 problems and then tell how they are<br> related.
viva [34]

Step-by-step explanation:

First we need to find out what they all 3 equal, with multiplication.

5×5=25

10×5=50

20×5=100

In each of these problems, the answer is multiplying itself by 2 in order to get to the next answer. So this is how they are related

6 0
3 years ago
One Solution, Many (infinite) solutions, No solutions.
tensa zangetsu [6.8K]

Answer:

System A the answer is: One solution

System B the answer is: Many infinite solution

System C the answer is: No solution

Step-by-step explanation:

Hope this helps you :)

3 0
3 years ago
to find the amount of water that would fill the inside of an aluminum can, which of the following formulas would you use?
Vlad1618 [11]

Answer:

The answer is V = π r 2h

Trust me i just got this question and that was the answer.

Step-by-step explanation:

7 0
3 years ago
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