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german
3 years ago
12

Match the following differential equations with their solutions. The symbols A, B, C in the solutions stand for arbitrary consta

nts. You must get all of the answers correct to receive credit.
1. dx2d2y+4y=0
2. dxdy=−2xyx2−2y2
3. dx2d2y+14dxdy+49y=0
4. dxdy=4xy
5. dxdy+21x2y=21x2
Mathematics
1 answer:
aleksley [76]3 years ago
4 0

Answer:1

Step-by-step explanation:

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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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Step-by-step explanation:

<u>The quotient of </u>

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