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Setler [38]
2 years ago
5

A box of chocolates contains five milk chocolates, three dark chocolates, and four white chocolates. You randomly select and eat

three chocolates. The first piece is milk
chocolate, the second is white chocolate, and the third is milk chocolate. Find the probability of this occuring.
Mathematics
1 answer:
PolarNik [594]2 years ago
3 0

Answer:

60/220

Step-by-step explanation:

we use combination,

(\frac{5}{1} )  \times  ( \frac{4}{1} ) \times ( \frac{3}{1} )

5 \times 4 \times 3 = 60

then, all divided by,

(\frac{12}{3}) = 220

60 \div 220

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2 years ago
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Factor the expression given below. Write each factor as a polynomial in
kherson [118]

The factorization of the expression of 43x³ + 216y³ is

(7x + 6y)(49x² - 42xy + 36y²)

Step-by-step explanation:

The sum of two cubes has two factors:

1. The first factor is \sqrt[3]{1st} + \sqrt[3]{2nd}

2. The second factor is ( \sqrt[3]{1st} )² - ( \sqrt[3]{1st} ) ( \sqrt[3]{2nd} ) + ( \sqrt[3]{2nd} )²

Ex: The expression a³ + b³ is the sum of 2 cubes

The factorization of a³ + b³ is (a + b)(a² - ab + b²)

∵ The expression is 343x³ + 216y³

∵ \sqrt[3]{343x^{3}} = 7x

∵ \sqrt[3]{216y^{3}} = 6y

∴ The first factor is (7x + 6y)

∵ (7x)² = 49x²

∵ (7x)(6y) = 42xy

∵ (6y)² = 36y²

∴ The second factor is (49x² - 42xy + 36y²)

∴ The factorization of 43x³ + 216y³ is (7x + 6y)(49x² - 42xy + 36y²)

The factorization of the expression of 43x³ + 216y³ is

(7x + 6y)(49x² - 42xy + 36y²)

Learn more:

You can learn more about factors in brainly.com/question/10771256

#LearnwithBrainly

6 0
2 years ago
Use the following compound interest formula to complete the problem.
alexdok [17]

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2 years ago
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If m∠1 = 50, then m∠5 =
yawa3891 [41]
1. angle 1 = 50 degrees [ Reason is Given]
2. angle 1 and angle 5 are corresponding angles [Given]
3..Therefore angle1=angle 5 [ Corresponding angles are =]
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The above assumes that we are talking about corresponding angles of congruent or similar polygons or corresponding angles forme when a transversal intersects two parallel lines
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You study whether childhood adversity has an impact of stress levels as an adult. Given your data, the probability of the data g
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Answer:

8.5

Step-by-step explanation:

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Bayes Factor is defined as below:

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H1 = alternative hypothesis

H0 = null hypothesis

Bayes Factor = 0.85/0.1 = 8.5

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