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Anastasy [175]
3 years ago
6

What is 30/40 simplified

Mathematics
2 answers:
IgorLugansk [536]3 years ago
5 0
I look at fractions as simply division problems
divide 30/40 = 3/4
forsale [732]3 years ago
4 0
When you're looking to simplify a fraction, the best thing to do is to find a common factor between the two numbers.
In this case, 10 is a common factor, so therefore, divide both sides by 10.
30/10= 3
40/10= 4
Therefore, the fraction in its simplest form is 3/4
Hope this helps
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A machine making computer chips isn't working correctly, and 5% of the computer chips it makes are defective. If an inspector ch
Rainbow [258]

Answer:

0.25% probability that they are both defective

Step-by-step explanation:

For each computer chip, there are only two possible outcomes. Either they are defective, or they are not. The probability of a computer chip being defective is independent of other chips. 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.

5% of the computer chips it makes are defective.

This means that p = 0.05

If an inspector chooses two computer chips randomly (meaning they are independent from each other), what is the probability that they are both defective?

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

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

P(X = 2) = C_{2,2}.(0.05)^{2}.(0.95)^{0} = 0.0025

0.25% probability that they are both defective

4 0
3 years ago
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Alina [70]

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Step-by-step explanation:

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AC=22,BC=x+14, and AB=x+10 find x
Elena-2011 [213]

Answer:

AB + BC = AC                 Segment Addition Postulate

(x + 10) + (x + 14) = 22     Substitution

2x + 24 = 22                   Simplify (added like terms)

2x = -2                            Subtraction Property of Equality

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Step-by-step explanation:

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mojhsa [17]
To determine the cost of each item, we need to set up equations. From the problem statement, we have three unknowns so we need three equations. We set up equations as follows:

let x cost of small pizzas
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x + y + 3z = 15

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x = $ 5
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