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kolbaska11 [484]
2 years ago
15

176min=⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯hr⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯min

Mathematics
1 answer:
Pani-rosa [81]2 years ago
6 0
This is the answer:
2 hours 56 minutes
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A bag contains 6 blue marbles, 10 red marbles, and 9 green marbles. If two marbles are drawn at random without replacement, what
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<u>Problem</u>

A bag contains 6 blue marbles, 10 red marbles, and 9 green marbles. If two marbles are drawn at random without replacement, what is the probability that two red marbles are drawn?

<u>Work </u>

Probability = no. of favorable outcomes /total no. of outcomes

Probability of getting a blue marble=5/5+6+9=5/20

Probability of getting a red marble=6/20−1=6/19

5/20×6/19

<u>Answer</u>

3/20

So it is C.

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Suppose a triangle has two sides of length 33 and 37, and that the angle
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Complete the square x^2-10=16<br><br>​
Hatshy [7]

Answer:

(x - 5)² = 41

Step-by-step explanation:

* Lets revise the completing square form

- the form x² ± bx + c is a completing square if it can be put in the form

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# The completing square is x² ± bx + c = (x ± h)²

# Remember c must be positive because it is = h²

* Lets use this form to solve the problem

∵ x² - 10x = 16

- Lets equate 2h by -10

∵ 2h = -10 ⇒ divide both sides by 2

∴ h = -5

∴ h² = (-5)² = 25

∵ c = h²

∴ c = 25

- The completing square is x² - 10x + 25

∵ The equation is x² - 10x = 16

- We will add 25 and subtract 25 to the equation to make the

 completing square without change the terms of the equation

∴ x² - 10x + 25 - 25 = 16

∴ (x² - 10x + 25) - 25 = 16 ⇒ add 25 to both sides

∴ (x² - 10x + 25) = 41

* Use the rule of the completing square above

- Let (x² - 10x + 25) = (x - 5)²

∴ (x - 5)² = 41

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