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lyudmila [28]
4 years ago
12

Find a linear equation whose graph is the straight line with the given property through (0.5,7) and parallel to the line 4x-2y=1

6

Mathematics
1 answer:
Gre4nikov [31]4 years ago
7 0
A factor of 2 can be removed from the given line to put it in standard form. Then the given point can be substituted to find the new constant.
   2x - y = 2(0.5) - 7 = -6

The equation you seek is
   2x - y = -6

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Khloe goes to a store an buys an item that costs xx dollars. She has a coupon for 15% off, and then a 8% tax is added to the dis
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Calculate the sample variance and sample standard deviation for the following frequency distribution of heights in centimeters f
Zolol [24]

Answer:

\bar X = \frac{\sum_{i=1}^n X_i f_i}{n}= \frac{22026.1}{171}=128.81

s^2 = \frac{2839948.85- \frac{(22026.1)^2}{171}}{171-1}= 16.59

s= \sqrt{16.587}=4.07

Step-by-step explanation:

For this case we can calculate the sample variance and deviation with the following table

Class               Midpoint (Xi)    fi        Xi*fi       Xi^2 *fi

120.6-123.6        122.1             17      2075.7   253443

123.7-126.7        125.2            49      6134.8    768077

126.8-129.8        128.3            29     3720.7    477365.8

129.9-132.9        131.4             41       5387.4   707904.4

133.0-136.0        134.5            35      4007.5   633158.8

___________________________________________

Total                                        171   22026.1    2839948.85

For this case we can calculate the mean or expected value with the following formula:

\bar X = \frac{\sum_{i=1}^n X_i f_i}{n}= \frac{22026.1}{171}=128.81

Now we can calculate the sample variance with the following formula:

s^2 =\frac{\sum f_i X^2_i -[\frac{(\sum X_i f_i)}{n}]^2}{n-1}

And if we replace we got:

s^2 = \frac{2839948.85- \frac{(22026.1)^2}{171}}{171-1}= 16.59

And the standard deviation would be the square root of the variance and we got:

s= \sqrt{16.59}=4.07

7 0
4 years ago
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