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3 years ago

Solve for x: −3|x − 3| = −6

2 answers:

8 0

|x - 3| = -6/-3
Two negatives = a positive so make it |x - 3| = -6/-3
|x - 3| = 2
In order to find the answers we need to break it down into these two problems
x - 3 = 2 and -(x - 3) = 2
For the first one its 5 since 5 - 3 = 2 and 2 + 3 = 5
For the second one its 1
Now we're done lets just collect both answers

Answers: x = 1, 5

kogti [31]3 years ago

3 0

Remember, for |a|=b, assume and solve a=b and a=-b

so

first get into |a|=b form

-3|x-3|=-6
divide both sides by -3
|x-3|=2
so solve
x-3=2 and x-3=-2
add 3 to both sides
x=5 and x=1

the solutionsa re x=1 and 5

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lesya692 [45]

Answer:

46.3

Step-by-step explanation:

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3 years ago

In a recent survey of 25 voters, 17 favor a new city regulation and 8 oppose it. What is the probability that in a random sample

Rasek [7]

Answer:

$P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727$

Step-by-step explanation:

1) Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

2) Solution to the problem

The probability in favor of the regulation based on the recent survey is:

$p = \frac{17}{25}=0.68$

Let X the random variable of interest "Number of favor respondents about the regulation", on this case we now that:

$X \sim Binom(n=6, p=0.68)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

And we want to find this probability:

$P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727$

If we use X= "Number of respondednts opposed to the regulation we got the same answer", but on this case p = 1-0.68=0.32, and we want this probability:

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago

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On a hot summer day, Jen is in a foreign country. She wonders which

tino4ka555 [31]

Answer: Celsius scale

Step-by-step explanation:

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Freezing temperature of water: $32\°F$

Boiling temperature of water: $212\°F$

Which means that all temperatures below $32\°F$ are below the freezing temperature of water. Therefore, if Jen is in the Summer season, which is characterized by high temperatures, it is incoherent to think that the thermometer is using the Farenheit scale.

Now, $30\°C$ is in accordance with the high temperatures recorded in the summer season.