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Umnica [9.8K]
3 years ago
7

Please help! Correct answer only! This assignment is due today.

Mathematics
1 answer:
vichka [17]3 years ago
5 0

Answer:

  0.2601

Step-by-step explanation:

There are 19C16 = 969 ways for Lester to choose 16 of the 19 objects.

There are 12C11 = 12 ways to choose 11 vases, and 7C5 = 21 ways to choose a non-vase, for a total of (12)(21) = 252 ways to choose exactly 11 vases in 16 objects.

So, the probability of interest is ...

  252/969 ≈ 0.2601

_____

nCk = n!/(k!(n-k)!) ... the number of ways to choose k objects from n

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What number would you add to the equation below to complete the square?x2 + 4x = 0?
julia-pushkina [17]
------------------------------------------------------------------
Equation
------------------------------------------------------------------
x² + 4x = 0

------------------------------------------------------------------
Add a constant
------------------------------------------------------------------
x² + 4x + (4/2)² - (4/2)²  = 0   ← Add 2² to form perfect square

------------------------------------------------------------------
Evaluate bracket
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x² + 4x + 2² - 2² = 0

------------------------------------------------------------------
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------------------------------------------------------------------
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------------------------------------------------------------------
Square root both sides
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(x+2) = \pm √4

------------------------------------------------------------------
Evaluate the square root
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(x+2) = \pm 2

------------------------------------------------------------------
Solve x 
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x = 2 - 2 or x = -2 - 2

x = 0 or -4

------------------------------------------------------------------
Answer: The constant to add is 4 and the value of x = 0 or -4
------------------------------------------------------------------



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3 years ago
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