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rewona [7]
3 years ago
11

Solve the following system of equations by using the provided grid: y= -x + 3, y = 3/2x - 2

Mathematics
1 answer:
GenaCL600 [577]3 years ago
4 0
Y = -x + 3
y = 3/2x - 2

-x + 3 = 3/2x - 2....multiply everything by 2 to get rid of the fraction
-2x + 6 = 3x - 4
-2x - 3x = -4 - 6
-5x = -10
x = -10/-5
x = 2

y = -x + 3
y = -2 + 3
y = 1

solution is (2,1)
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stealth61 [152]

Answer:

The p -value is less than 0.001.

Step-by-step explanation:

Given information:

Sample size = 25 chips

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Sample standard deviation = 10

Let as assume that sample is distributed normally.

The formula for test statistic

t=\frac{\overline{x}-\mu}{\frac{s}{\sqrt{n}}}

where,

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μ is population mean.

s is sample standard deviation.

n is sample size.

The value of test statistic is

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3 years ago
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a.the goodness of fit for the estimated multiple regression equation increases.

Step-by-step explanation:

As the value of the multiple coefficient of determination increases,

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Step-by-step explanation:

Given :

\triangle ABC \sim \triangle XYZ .△ABC∼△XYZ.

AB = 6\:cm, \:BC = 9 \:cm, CA = 12 \:cmAB=6cm,BC=9cm,CA=12cm

Let \: XY = 10\:cm, \:YZ = x \:cm, \: XZ = y /:cmLetXY=10cm,YZ=xcm,XZ=y/:cm

\frac{AB}{XY} = \frac{BC}{x} = \frac{CA}{y}XYAB=xBC=yCA

\blue {( The \: lengths \:of \: corresponding }(Thelengthsofcorresponding

\blue {sides \:are \: proportional .)}sidesareproportional.)

\implies \frac{6}{10} = \frac{9}{x} = \frac{12}{y}⟹106=x9=y12

i) \implies \frac{6}{10} = \frac{9}{x}i)⟹106=x9

\implies x = \frac{9 \times 10}{6}⟹x=69×10

\implies x = 15\:cm⟹x=15cm

ii) \implies \frac{6}{10} = \frac{12}{y}ii)⟹106=y12

\implies y = \frac{12 \times 10}{6}⟹y=612×10

\implies y = 20\:cm⟹y=20cm

Therefore.,

\red { Value \:of \:x } \green { = 15\:cm }Valueofx=15cm

\red { Value \:of \:y } \green { = 20\:cm }Valueofy=20cm

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Answer:

Yes.

Step-by-step explanation:

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