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Diano4ka-milaya [45]
2 years ago
9

5x - 2 = 8 What the answer

Mathematics
2 answers:
Montano1993 [528]2 years ago
7 0

Answer:

x = 2

Step-by-step explanation:

5x - 2 = 8

5x = 8 + 2

5x = 10

x = 10/5

x = 2

AveGali [126]2 years ago
7 0

Step-by-step explanation:

You simplify the equation by adding two to both sides.

This gives you

5x = 10

In order to isolate the x, you need to get rid of the 5. To do this, divide each side by five.

This gives you

x = 2

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. At a clothing store, 12 people purchased blue sweaters, 8 purchased green sweaters, 4 purchased gray sweaters, and 7 purchased
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The probability that they purchased a green or a gray sweater is \frac{12}{31}

Step-by-step explanation:

Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.

P(A)=\frac{number of favorable cases}{number of possible cases}

The addition rule is used when you want to know the probability that 2 or more events will occur. The addition rule or addition rule states that if we have an event A and an event B, the probability of event A or event B occurring is calculated as follows:

P(A∪B)= P(A) + P(B) - P(A∩B)

Where:

P (A): probability of event A occurring.

P (B): probability that event B occurs.

P (A⋃B): probability that event A or event B occurs.

P (A⋂B): probability of event A and event B occurring at the same time.

Mutually exclusive events are things that cannot happen at the same time. Then P (A⋂B) = 0. So, P(A∪B)= P(A) + P(B)

In this case, being:

  • P(A)= the probability that they purchased a green sweater
  • P(B)= the probability that they purchased a gray sweater
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You know:

  • 8 purchased green sweaters
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  • number of possible cases= 12 + 8 + 4+ 7= 21

So:

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  • P(B)=\frac{4}{31}
  • P(A⋂B) = 0

Then:

P(A∪B)= P(A) + P(B)

P(A∪B)= \frac{8}{31}+ \frac{4}{31}

P(A∪B)= \frac{12}{31}

<u><em>The probability that they purchased a green or a gray sweater is </em></u>\frac{12}{31}<u><em></em></u>

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