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Sergio [31]
3 years ago
14

Type the correct answer in each box. Use numerals instead of words.

Mathematics
1 answer:
DedPeter [7]3 years ago
8 0

Answer:

c = 7

d = 5

Step-by-step explanation:

combining coefficient a with the nth root of b: a√ⁿb = √ⁿ((a)ⁿb). This is the reverse of simplifying a radical.

8x³√²7x = √²((8x³)²)√²(7x) = √²(64x⁶)√²(7x) = √²((64x⁶)(7x)) = √²((64 × 7)(x⁶ × x)) = √²((448)(x⁷)) = √²448x⁷ →

√²448x⁷ = √²448xᶜ.

7 → c, √²448x⁷ = √²448x⁷, c = 7.

4x√³9x² = √³((4x)³)√³(9x²) = √³(64x³)√³(9x²) =

√³((64x³)(9x²)) = √³((64 × 9)(x³ × x²)) = √³((576)(x⁵)) = √³576x⁵ →

√³576x⁵ = √³576xᵈ.

5 → d, √³576x⁵ = √³576x⁵, d = 5.

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Answer:

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Step-by-step explanation:

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All girls from the first group:

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5 students will be selected, so n = 5

We want all of them to be girls, so we find P(X = 5).

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20 students, so N = 20

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5 students will be selected, so n = 5

We want all of them to be girls, so we find P(X = 5).

P_3 = P(X = 5) = h(5,20,5,8) = \frac{C_{8,5}*C_{12,5}}{C_{20,5}} = 0.0036

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Groups are independent, so we multiply the probabilities:

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