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Tpy6a [65]
2 years ago
13

4n -6 = 10n Simplify.

Mathematics
2 answers:
pentagon [3]2 years ago
8 0

-----------------------------------------------------------------------------------------------------------------

<em>Answer: </em><u>n = -1</u>

-----------------------------------------------------------------------------------------------------------------

add 6 to both sides of the equation.

4n − 6 = 10n

4n − 6 + 6 = 10n + 6

-----------------------------------------------------------------------------------------------------------------

simplify.

<em>(add the numbers)</em>

4n − 6 + 6 = 10n + 6

4n = 10n + 6

4n = 10n + 6

-----------------------------------------------------------------------------------------------------------------

subtract 10n from both sides.

4n − 10n = 10n + 6 − 10n

-----------------------------------------------------------------------------------------------------------------

simplify. (again)

<em>(combine like terms)                                          (combine like terms)</em>

4n − 10n = 10n + 6 − 10n<em>                                 </em>   −6n = 10n + 6 − 10n

−6n = 6

-----------------------------------------------------------------------------------------------------------------

divide both sides by the same term.

−6n/−6 = 6/-6

n = 6/−6n = 6/−6

-----------------------------------------------------------------------------------------------------------------

simplify. <em>(again)</em>

<em></em>

<em>(cancel terms that are in both the numerator and denominator)</em>

<em />

n = 6/−6

<em>(divide the numbers)</em>

<em />

n = 6/−6

<u>n = 1</u>

-----------------------------------------------------------------------------------------------------------------

ruslelena [56]2 years ago
6 0

Answer:

n= -1

Step-by-step explanation:

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The probability that a student who does not have a dog has a cat is 7/10.

<h3>What is the probability?</h3>

Probability determines the chances that a random event would happen. The odds that the random event would happen lies between 0 and 1.

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To learn more about probability, please check: brainly.com/question/13234031

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8 0
3 years ago
When Samuel commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 32 minutes and a
k0ka [10]

Answer:

z=\frac{x-\mu}{\sigma}

And we can find the nnumber of deviations from the mean for each limit given:

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So we are 3 deviation from the mean and using the empirical rule we know that within 3 deviations from the mean we have 99.7% of the values

Step-by-step explanation:

Let X the random variable that represent the amount of time it takes him to arrive, and for this case we know the distribution for X is given by:

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Where \mu=32 and \sigma=5

We want to find this probability:

P(17

And we can use the z score formula given by:

z=\frac{x-\mu}{\sigma}

And we can find the nnumber of deviations from the mean for each limit given:

z_1 = \frac{17-32}{5} = -3

z_2= \frac{47-32}{5} = 3

So we are 3 deviation from the mean and using the empirical rule we know that within 3 deviations from the mean we have 99.7% of the values

8 0
3 years ago
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