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Rus_ich [418]
3 years ago
9

What number is greater than 32.46 and less than 32.56 then find the difference of your two numbers

Mathematics
1 answer:
torisob [31]3 years ago
7 0

Answer:

Observe that

  • 32.50 is greater than 32.46 because 32.50-32.46=0.04 > 0.  And 32.50 is less than 32.56 because 32.56-32.50=0.06>0
  • 32.51 is greater than 32.46 because 32.51-32.46=0.05 > 0.  And 32.51 is less than 32.56 because 32.56-32.51=0.05>0

And the difference between 32.51 and 32.50 is 32.51-32.50=0.01

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Professor Halen teaches a College Mathematics class. The scores on the midterm exam are normally distributed with a mean of 72.3
lbvjy [14]

Answer:

14.63% probability that a student scores between 82 and 90

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 problem, we have that:

\mu = 72.3, \sigma = 8.9

What is the probability that a student scores between 82 and 90?

This is the pvalue of Z when X = 90 subtracted by the pvalue of Z when X = 82. So

X = 90

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

Z = \frac{90 - 73.9}{8.9}

Z = 1.81

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

Z = \frac{82 - 73.9}{8.9}

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