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emmainna [20.7K]
4 years ago
15

How to solve system graphically 4y = x + 8, x = 2/3y +2

Mathematics
1 answer:
8_murik_8 [283]4 years ago
5 0
4y = x + 8
<u>x = 2/3y + 2</u>
4y = x + 8
<u>2/3y = x + 2</u>
<u>3 1/3y </u>= <u>  8   </u>
 3 1/3     3 1/3
        y = 2 2/5
4(2 2/5) = x + 8
   9 3/5 = x + 8
<u>       -8        -8</u>
   1 3/5 = x
     (x y) = (1 3/5, 3)
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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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Given:
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6 0
3 years ago
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