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wlad13 [49]
3 years ago
5

Make x the subject of the formula 3 b ( 2 x − a 2 ) = 5 d − 7 g x

Mathematics
2 answers:
n200080 [17]3 years ago
5 0

Answer:

<h2>x=\frac{5d+6ba}{6b+7g}</h2>

Step-by-step explanation:

sleet_krkn [62]3 years ago
4 0

Answer:

  • x = (3a²b + 5d) / (6b + 7g)

Step-by-step explanation:

<u>Given</u>:

  • 3b( 2x − a² ) = 5d − 7gx

<u>Solving for x:</u>

  • 6bx - 3a²b = 5d - 7gx
  • 6bx + 7gx = 3a²b + 5d
  • (6b + 7g)x = 3a²b + 5d
  • x = (3a²b + 5d) / (6b + 7g)
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Test scores are normally distributed with a mean of 500. Convert the given score to a z-score, using the given standard deviatio
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Answer:

The percentage of students who scored below 620 is 93.32%.

Step-by-step explanation:

Problems of normally distributed samples are solved using 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, we have that:

\mu = 500, \sigma = 80

Percentage of students who scored below 620:

This is the pvalue of Z when X = 620. So

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

Z = \frac{620 - 500}{80}

Z = 1.5

Z = 1.5 has a pvalue of 0.9332

The percentage of students who scored below 620 is 93.32%.

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3 years ago
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