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dsp73
3 years ago
11

The sum of ten numbers is 2783.If one of the ten numbers is changed from 397 to 502,what is the new sum?

Mathematics
1 answer:
kykrilka [37]3 years ago
8 0
Find how much extra is added to 397 that will result in 502:
502-397=105

Add that additional value to your total to find the new total:
2783+105=2888

2888
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A college-entrance exam is designed so that scores are normally distributed with a mean of 500 and a standard deviation of 100.
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Answer: 1.25

Step-by-step explanation:

Given: A college-entrance exam is designed so that scores are normally distributed with a mean(\mu) = 500 and a standard deviation(\sigma) =  100.

A z-score measures how many standard deviations a given measurement deviates from the mean.

Let Y be a random variable that denotes the scores in the exam.

Formula for z-score = \dfrac{Y-\mu}{\sigma}

Z-score = \dfrac{625-500}{100}

⇒ Z-score = \dfrac{125}{100}

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Therefore , the required z-score = 1.25

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12.7  
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So: 
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3 years ago
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