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andreyandreev [35.5K]
3 years ago
5

75,575 how do the values of the digit differ in the number?

Mathematics
1 answer:
Vsevolod [243]3 years ago
8 0

Answer:

<u>7</u>5,575 - ten-thousands place; this 7 is worth 70,000

7<u>5</u>,575 - thousands place; this 5 is worth 5,000

75,<u>5</u>75 - hundreds place; this 5 is worth 500

75,5<u>7</u>5 - tens place; this 7 is worth 70

75,57<u>5</u> - ones place; this 5 is worth 5



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Answer:

<u>The correct answer is C. Felix's z-score on the aptitude test was 1.30. His z-score on the knowledge test was 2.08. Felix performed better on the knowledge test, comparatively.</u>

Step-by-step explanation:

1. Let's check all the information given to us to answer the question correctly:

Mean of the scores on the aptitude test = 100

Standard deviation of the aptitude test = 4.6

Felix's score on the aptitude test = 106

Mean of the scores on the knowledge test = 70

Standard deviation of the knowledge test = 2.4

Felix's score on the knowledge test = 75

2. Which statement best describes Felix's scores on the two tests comparatively?

Let's recall that z-score in a normal distribution, positive or negative, is the number of times of the standard deviation a certain element is from the mean. If the element is below the mean, then the z-score is negative and if it's above the mean, then the z-score is positive.

Therefore, a score of 106 on the aptitude test, will have the following z-score:

106 - 100 = 6 and it's above the mean.

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6/4.6 = 1.30

A score of 75 on the knowledge test, will have the following z-score:

75 - 70 = 5 and it's above the mean.

Now, we calculate the z-score, using the value of the standard deviation this way:

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