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maksim [4K]
3 years ago
12

Four friends are training for long races.

Mathematics
2 answers:
tino4ka555 [31]3 years ago
4 0

Answer:

1.977

Step-by-step explanation:

line up your decimal points

 7.100

-<u> 5.123</u>  (borrow from 1 to make it 0 and make the 0 to the right of it a 10)

             (now borrow from the 10 to make it 9 and make the other zero a 10)

7.100

-<u> 5.123</u>  (now borrow from 7 to make it 6 and make the 0 to the right of it a 10)

        7   (now borrow from the 10 to make it 9 and subtract the 2)

7.100

-<u> 5.123</u>  (now subtract 1 from 10 and then subtract 5 from 6)

 1.977  

 

Katyanochek1 [597]3 years ago
4 0
Khaliyah ran 1.977 miles further than Eduardo , simply take away 5.123 from 7.1 :)
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Question Help Scores of an IQ test have a​ bell-shaped distribution with a mean of 100100 and a standard deviation of 1010. Use
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Answer:

a) 95% percentage of people has an IQ score between 80 and 120.

b) 68% percentage of people has an IQ score between 90 and 110.    

c) 2.5% percentage of people has an IQ score greater than 120.          

Step-by-step explanation:

The empirical formula states that:

  • The empirical rule is known as the three-sigma rule or 68-95-99.7 rule.
  • It is a rule which states that for a normal distribution, almost all data falls within three standard deviations of the mean.
  • 68% of data falls within the first standard deviation that is \mu \pm \sigma
  • 95% of data falls within the second standard deviation that is \mu \pm 2\sigma
  • 99.7% of data falls within the third standard deviation that is \mu \pm 3\sigma

a)  percentage of people has an IQ score between 80 and 120

(80, 120) can be written as:

(80, 120) = (100-2(10), 100 + 2(10))\\= (\mu \pm 2\sigma)

Thus, it is the interval within two standard deviation from the mean.

Thus, by empirical formula, 95% percentage of people has an IQ score between 80 and 120.

b) percentage of people has an IQ score between 90 and 110

(90, 110) can be written as:

(90, 110) = (100-1(10), 100 + 1(10))\\= (\mu \pm 1\sigma)

Thus, it is the interval within one standard deviation from the mean.

Thus, by empirical formula, 68% percentage of people has an IQ score between 90 and 110.

c) P(score greater than 120)

= 1 - percentage of score less than 80 - percentage of score between 80 and 120

= 1 - (95\% + 2.5\%) = 2.5\%

From empirical formula,

2.5% percentage of people has an IQ score greater than 120.

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