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Anna11 [10]
3 years ago
14

Find the solution of this system of equations. separate the x- and y- values with a comma.

Mathematics
2 answers:
jonny [76]3 years ago
4 0
X - 2y = -29
x - y = -11

first solve for x in the first equation;
x = 2y - 29

now substitute it into the second equation;
x - y = -11

2y - 29 - y = -11
y - 29 = -11

solve for y;
y - 29 = -11
y = -11 + 29
y = 18

solve for x by substituting what y equals;
x = 2y - 29
x = 2(18) - 29
x = 7

so your answer is, (7, 18)

hope this helped!! blessings x
12345 [234]3 years ago
4 0

x-2y = -29

x-y = -11

we can solve for x in the second equation by adding y to both sides

x= -11 + y

now we can plug this in for the x value in the first equation to solve for y

-11 + y -2y = -29

-11-y=-29

-y= -18

y =18

now that we know what y is equal to, we can plug it in to either equation to solve for x

x-18= -11

x = 7

7 , 18

hope this helped

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Find angle <QPS in the diagram​
marin [14]

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40°

Step-by-step explanation:

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4 0
2 years ago
A study found that a 95% confidence interval for the mean μ of a particular population was computed from a random sample of 1200
kotykmax [81]

Answer:

95% confidence interval for the mean μ is (6,14)

The Population mean μ lies between ( 6, 14 )

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given random sample 'n' = 1200

95% confidence interval for the mean μ is determined by

        (x^{-} -Z_{\alpha } \frac{S.D}{\sqrt{n} } , x^{-} +Z_{\alpha } \frac{S.D}{\sqrt{n} } )

Level of significance = 95% 0r 0.05

Z₀.₀₅ = 1.96

   (x^{-} -Z_{\alpha } \frac{S.D}{\sqrt{n} } , x^{-} +Z_{\alpha } \frac{S.D}{\sqrt{n} } ) = 10 ± 4

Mean of the small sample = 10

95% of confidence intervals are

                         ( 10 ±4 )

                  ( 10 -4 , 10+4)

                  ( 6 , 14 )

95% confidence interval for the mean μ lies between ( 6, 14 )

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2 years ago
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