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2 years ago

Solve: 2x+4y=20 and 2x-y=4

Mathematics

2 answers:

Masteriza [31]2 years ago

5 0

Answer:

X=3.6

Y=3.2

Step-by-step explanation:

2x-y=4 which means 2x=4+y
2x+4y = 20 which means 4+y+4y=20 ==> 4+5y=20
5y = 20-4 = 16
y= 16/5 = 3.2
2x=4+y=4+3.2=7.2
x = 7.2/2 = 3.6

fgiga [73]2 years ago

4 0

Answer:
(x, y) = (18/5, 16/5)
OR
(x, y) = (3.6, 3.2)

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luda_lava [24]

Answer:

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Step-by-step explanation:

The Standard Deviation is a measure of how spread out numbers are. Its symbol is σ (the greek letter sigma)

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$\begin{array}{cccccccc}83&87&90&92&93&100&104&111\\115&121&&&&&&\end{array}$

we use the following formula

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} }$

Step 1: Find the mean $\left( \overline{X} \right)$ .

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

$Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}$

$Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}=\frac{83+87+90+92+93+100+104+111+115+121}{10} \\\\Mean = \frac{996}{10} =\frac{498}{5}=99.6$

Step 2: Create the below table.

Step 3: Find the sum of numbers in the last column to get.

$\sum{\left(x_i - \overline{X}\right)^2} = 1472.4$

Step 4: Calculate σ using the above formula.

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} } = \sqrt{ \frac{ 1472.4 }{ 10 - 1} } \approx 12.7906$

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