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erma4kov [3.2K]
2 years ago
13

A play has tickets available for 8 orchestra seats and 12 balcony seats. The next person to buy a ticket will be randomly assign

ed to one of those seats. What is the probability that the next person will be assigned an orchestra seats?
Mathematics
1 answer:
qaws [65]2 years ago
5 0

The probability that the next person will be assigned an orchestra seats is 2/5.

<h3>What is Probability?</h3>

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Here, Available Orchestra seats = 8

            Balcony seats = 12

      Total available seats = 12 + 8 = 20

  Probability = Favorable Outcome / Total Outcome

  Probability of getting orchestra ticket = 8/20

                                                                 = 2/5

Thus, the probability that the next person will be assigned an orchestra seats is 2/5.

Learn more about Probability from:

brainly.com/question/14210034

#SPJ1

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X - 5 &lt; - 3 <br> Or<br> X + 8 &gt; 2
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Step-by-step explanation:

x-5 < -3

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Explain each step of how to solve this: -1 2/3 divided by 3/5
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Answer:

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Hope this helps and have a great day.

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The castle at the boon farm are fed 10 bales of hay each day. The horses are fed 1/2 as much hay as the cattle. How many bales o
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4 0
3 years ago
Answer and how to do it
ollegr [7]

Answer:

(x - 9)^2 + y^2 = 36

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)^2 + (y - k)^2 = r^2

You are given

x^2 + y^2 - 18x + 45 = 0

In order to put the equation in standard from, we need to complete the square. Since there is no y term, the y part is simply y^2, and there is no need to complete the square for y. For x, we do have an x term, so we must complete the square in x.

Start by grouping the x terms and subtracting 45 from both sides.

x^2 - 18x + y^2 = -45

Now we need to complete the square for x.

x^2 - 18x ~~~~~~+ y^2 = -45

The number that completes the square will go in the blank above, and it will also be added to the right side of the equation.

To find the number you need to add to complete the square, take the coefficient of the x term. It is -18. Divide it by 2. You get -9. Now square -9 to get 81. The number that completes the square in x is 81. Now you add it to both sides of the equation.

x^2 - 18x + 81 + y^2 = -45 + 81

(x - 9)^2 + y^2 = 36

Answer: (x - 9)^2 + y^2 = 36

6 0
3 years ago
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