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3 years ago

Solve the equation 5x+2-x=-4x

Mathematics

2 answers:

AVprozaik [17]3 years ago

8 0

5x + 2 -x = -4x

4x +2 = -4x

2 = -4x -4x

2 = -8x

x = - 1/4

hope this helps

Taya2010 [7]3 years ago

6 0

X = −1/4 ( fraction )

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Step-by-step explanation:

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Ilia_Sergeevich [38]

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3 years ago

suppose X and Y are independent random variables, both with normal distributions. If X has a mean of 45 with a standard deviatio

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Answer:

0.9772 = 97.72% probability that a randomly generated value of X is greater than a randomly generated value of Y

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

$\mu_X = 45, \sigma_X = 4, \mu_Y = 35, \sigma_Y = 3$

What is the probability that a randomly generated value of X is greater than a randomly generated value of Y

This means that the subtraction of X by Y has to be positive.

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$\mu = \mu_X - \mu_Y = 45 - 35 = 0$