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valina [46]
3 years ago
13

What is the axis of symmetry for the function f(x)=3(x-2)^2+4

Mathematics
1 answer:
Alex73 [517]3 years ago
5 0

y=3(x-2)²+4

Vertex is(2,4)

Axis of symmetry: x=2

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A drawer contains 3 white shirts, 2 blue shirts, and 5 gray shirts. A shirt is randomly
shutvik [7]

Answer:

Probability that first shirt is white and second shirt is gray if first shirt selected is set aside = \frac{1}{4}

Step-by-step explanation:

Given that

3 white, 2 blue and 5 gray shirts are there.

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Probability that first shirt is white and second shirt is gray if first shirt selected is set aside = ?

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First of all, let us learn about the formula of an event E:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

P(First\ White) = \dfrac{\text{Number of white shirts}}{\text {Total number of shirts left}}

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Now, this shirt is set aside.

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P(First\ White\ and\ second\ gray) = P(First White) \times P(Second\ Gray)\\\Rightarrow P(First\ White\ and\ second\ gray) = P(First White) \times \dfrac{\text{Number of gray shirts}}{\text{Total number of shirts left}}\\\\\Rightarrow P(First\ White\ and\ second\ gray) = \dfrac{3}{10} \times \dfrac{5}{9}\\\Rightarrow P(First\ White\ and\ second\ gray) = \dfrac{1}{2} \times \dfrac{1}{2}\\\Rightarrow P(First\ White\ and\ second\ gray) = \bold{\dfrac{1}{4} }

So, the answer is:

Probability that first shirt is white and second shirt is gray if first shirt selected is set aside = \frac{1}{4}

4 0
3 years ago
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