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3 years ago

I WILL GIVE BRAINLIEST Solve the equation: x/−4 + 6 = −6.5

Mathematics

1 answer:

konstantin123 [22]3 years ago

4 0

Answer:

x = 50

Step-by-step explanation:

The first step is to subtract 6 from both sides:

$\frac{x}{-4} +6 = -6.5$

- 6 - 6

___________

$\frac{x}{-4}$ = -12.5

The fraction $\frac{x}{-4}$ , is really just $\frac{1}{-4} x$ :

$\frac{1}{-4} x$ = -12.5

Multiply both sides by -4:

x = 50

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Step-by-step explanation:

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3 years ago

It is a well-known fact that 50% of the general population are rascals (P(R) = 0.5) and 50% of the general population are not ra

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Answer:

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Step-by-step explanation:

Let call R the event that a person is rascal, RC a person is not rascal, TH a person use top hat and NTH a person don’t use top hat.

From the information on the question we have 4 options with their respective probability:

1. A person could be rascal and use top Hat: this probability is calculate as the multiplication of the probability of be a rascal (0.5) and use a top hat (0.9), then:

P(R y TH)=0.5*0.9=0.45

2. A person could be rascal and don’t use top Hat: this probability is calculate as the multiplication of the probability of be a rascal (0.5) and not use a top hat (0.9), then:

P(R y NTH)=0.5*0.1=0.05

3. A person could be not rascal and use top Hat: this probability is calculate as the multiplication of the probability of not be a rascal (0.5) and use a top hat (0.3), then:

P(RC y TH)=0.5*0.3=0.15

4. A person could be not rascal and not use top Hat: this probability is calculate as the multiplication of the probability of not be a rascal (0.5) and not use a top hat (0.7), then:

P(RC y NTH)=0.5*0.7=0.35

Then the probability that a person is a rascal given that he is wearing a top hat could be written and calculate as:

$P(R/TH)=\frac{P(R y TH)}{P(TH)}$

For calculate P(TH) we need to sum all the option in which TH is involve so:

P(TH) = P(R y TH)+ P(RC y TH)

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Replacing values on the first equation we get:

$P(R/TH)=\frac{0.45}{0.6} =0.75$

So, the probability that a person is a rascal given that he is wearing a top hat is 0.75

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Answer:

Step-by-step explanation:

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