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2 years ago

Please simplify 4a^3 x b^3 / 2ab^2

Mathematics

1 answer:

DedPeter [7]2 years ago

6 0

Answer:

2a^4b^2

Step-by-step explanation:

Simplify —

(((4 • (a3)) • —) • a) • b

((22a3 • —) • a) • b

3.1 22 divided by 21 = 2(2 - 1) = 21 = 2

(2a3b • a) • b

4.1 b1 multiplied by b1 = b(1 + 1) = b2

2a^4b^2

Hope this helps, have a nice day/night! :D

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2 years ago

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Answer and Step-by-step explanation:

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2 years ago

A shipment of 50 precision parts including 4 that are defective is sent to an assembly plant. The quality control division selec

natali 33 [55]

Answer:

0.3968 = 39.68% probability this shipment passes inspection.

Step-by-step explanation:

The parts are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

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

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

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

50 parts means that $N = 50$

4 defective means that $k = 4$

10 are chosen, which means that $n = 10$

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Probability that none is defective, so:

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

$P(X = 0) = h(0,50,10,4) = \frac{C_{4,0}*C_{46,10}}{C_{50,10}} = 0.3968$

0.3968 = 39.68% probability this shipment passes inspection.

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2 years ago

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Answer:

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3 years ago

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solong [7]

Answer:

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2 years ago