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Savatey [412]
3 years ago
12

Tuiton at a certain college recently increased from $4000 to $5000. Find the ratio of the increase in price to the original pric

e.
Mathematics
1 answer:
koban [17]3 years ago
8 0
The increase is $5000-$4000=$1000.  The ratio of this increase to the original price is 

$1000
-------- = 1/4 (no units of measurement here)
$4000
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SAT verbal scores are normally distributed with a mean of 433 and a standard deviation of 90. Use the Empirical Rule to determin
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34% of the scores lie between 433 and 523.

Solution:

Given data:

Mean (μ) = 433

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<u>Empirical rule to determine the percent:</u>

(1) About 68% of all the values lie within 1 standard deviation of the mean.

(2) About 95% of all the values lie within 2 standard deviations of the mean.

(3) About 99.7% of all the values lie within 3 standard deviations of the mean.

$Z(X)=\frac{x-\mu}{\sigma}

$Z(433)=\frac{433-\ 433}{90}=0

$Z(523)=\frac{523-\ 433}{90}=1

Z lies between o and 1.

P(433 < x < 523) = P(0 < Z < 1)

μ = 433 and μ + σ = 433 + 90 = 523

Using empirical rule, about 68% of all the values lie within 1 standard deviation of the mean.

i. e. ((\mu-\sigma) \ \text{to} \ (\mu+\sigma))=68\%

Here μ to μ + σ = \frac{68\%}{2} =34\%

Hence 34% of the scores lie between 433 and 523.

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