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astraxan [27]
3 years ago
11

A​ 12-sided die is rolled. The set of equally likely outcomes is​ {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling

an 8.
The probability of rolling an 8 is:
Mathematics
1 answer:
Nastasia [14]3 years ago
7 0
<h3>Answer:  1/12</h3>

This is because there's one side we want (that's labeled "8") out of 12 sides total. This is of course if each side is equally likely.

Side note: this 12-sided die is known as a dodecahedron.

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26 chairs have been split into equal groups,m. How many equal groups are there?
kari74 [83]

Answer:

5

Step-by-step explanation:

because 5*5=25 and you have 1 remainder

3 0
4 years ago
The quadratic function g(x) = ax^2 + bx + c has the complex roots (-5+9i) and (-5-9i). (you may assume that a = -1) what is the
gavmur [86]

Answer:

  • b = -10, c = -106

Step-by-step explanation:

<h3>Given</h3>

<u>Quadratic function </u>

  • g(x) = ax^2 + bx + c

with the roots:

  • (-5+9i) and (-5-9i)
<h3>To find </h3>
  • b and c if a = -1
<h3>Solution</h3>

<u>As we know the sum of the roots is -b/a and the product of the roots is c/a. Substituting values and solving for b and c:</u>

  • (-5 + 9i) + (-5 - 9i) = -b/-1
  • -10 = b
  • b = -10

And

  • (-5 + 9i)(-5 - 9i) = c/-1
  • (-5)² - (9i)² = -c
  • 25 - 81(-1) = -c
  • - c = 25 + 81
  • - c = 106
  • c = -106

g(x) = -x² -10x - 106

4 0
3 years ago
Is (2, -4) a solution to the inequality 2x - 3y &lt; 15? Yes or No
miss Akunina [59]

Answer:

No.

Step-by-step explanation:

We substitute the values x = 2 and y = -4 into the inequality.

Left side = 2(2) - 3(-4) = 4 + 12

= 16

Now the right side is 15 so we get 16 < 15 which is incorrect.

So (2, -4) is not a solution.

7 0
3 years ago
Select the correct answer.
Julli [10]

Answer:

Your answer for the above equation is D

3 0
3 years ago
What is the answer to 5x+4=9
Kisachek [45]

Answer:

x=1

Step-by-step explanation:

5x-4=9

5x=9-4

5x=5

x=1

8 0
3 years ago
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