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2 years ago

I don't understand this, can somebody please explain it to me?

Mathematics

1 answer:

Artyom0805 [142]2 years ago

5 0

Looking at the equation, you could see that it is in vertex form. Vertex form looks like this: y=a(x-h)^2+k where a is the slope to find the first point away from the origin and (h,k) is the vertex. So, the vertex is (3,-1). The first point away from the origin is up two, over one, so the slope is 2. This means that a is 2. One way you could check this is by putting 2 in for a. If you put it into standard form, it would be 2x^2-12x+17. To find the x in the vertex when the equation is in standard form we use -b/2a. So it would give us 3 for x. If we put in 3 for x, we get -1 for y, so the vertex is (3,-1). This means that a is 2. Sorry for this lengthy answer, hope it helps.

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Answer:

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Step-by-step explanation:

we are given 8 songs

2 are rock. 4 are reggae, 2 are country

we want to figure out the probability of getting both reggae songs

notice that, they aren't replacing thus it's an independent probability

recall that,

$\displaystyle \rm P(A \: \text{and} \: B) = P(A) \times P(B \mid A)$

P(A) represents the chance of getting our subject first time and P(B|A) represents the chance of getting the same subject second time

let's figure out P(A)

we have 2 reggae songs

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therefore

$\displaystyle\rm P(A) = \frac{2}{8} = \frac{1}{4}$

let's figure out P(B|A)

since we took a reggae song before now we have only a reggae song

and total 8-1=7

therefore

$\displaystyle \rm P(B\mid A) = \frac{1}{7}$

Altogether

$\displaystyle \rm P(A \: \text{and} \: B) = \frac{1}{4} \times \frac{1}{7}$

simplify multiplication:

$\displaystyle \rm P(A \: \text{and} \: B) = \frac{1}{28}$

And we are done!

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