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Allisa [31]
3 years ago
8

Why is it important to keep two sides of an equation balanced when solving?

Mathematics
1 answer:
Lady_Fox [76]3 years ago
5 0

Answer:

An important property of equations is one that states that you can add the same quantity to both sides of an equation and still maintain an equivalent equation.  If you think of an equation as being like a balance scale, the quantities on each side of the equation are equal, or balanced.

Step-by-step explanation:

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A production process is known to produce a particular item in such a way that 5 percent of these are defective. If two items are
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Answer:

0.0025 = 0.25% probability that both are defective

Step-by-step explanation:

For each item, there are only two possible outcomes. Either they are defective, or they are not. Items are independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which 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)!}

And p is the probability of X happening.

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This means that p = 0.05

If two items are randomly selected as they come off the production line, what is the probability that both are defective

This is P(X = 2) when n = 2. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

See attached file

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