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3 years ago

Use the Distributive Property and simplify the expression. 6+4(3x–2)+5

Mathematics

2 answers:

Gnoma [55]3 years ago

7 0

6+4(3x–2)+5
=6+12x–8+5
=12x+6-8+5
=12x+3

<span> c. 12x+3</span>

shusha [124]3 years ago

6 0

$The\ distributive\ property:a(b-c)=ab-ac\\-------------------------\\6+4(3x-2)+5=6+4(3x)-4(2)+5\\\\=6+12x-8+5=12x+6-8+5=12x-2+5\\\\=\huge\boxed{12x+3}\leftarrow\boxed{c}$

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Step-by-step explanation:

The selection is from a sample without replacement, so we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

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x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

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All girls from the first group:

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10 girls, so $k = 10$

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

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

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Groups are independent, so we multiply the probabilities:

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3 years ago

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