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Xelga [282]
3 years ago
15

Is (2, 5) a solution to this system of equations? x + 2y = 12 2x + 2y = 14 yes or no

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
5 0
Yes (2,5) is a solution to the system of equation

2+2 (5)=12
2+10=12
12=12


2(2)+2(5)=14
4+10=14
14=14
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elena55 [62]
<h2><u>Answer with explanation</u>:</h2>

Let \mu be the average life of light bulbs.

As per given , we have

Null hypothesis : H_0 : \mu =5400

Alternative hypothesis : H_a : \mu >5400

Since H_a is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.

Formula for Test statistic : z=\dfrac{\overlien{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

where, n= sample size

\overline{x}= sample mean

\mu= Population mean

\sigma=population standard deviation

For n=95,\ \overline{x}=5483\ \&\ \sigma=500, we have

z=\dfrac{5483-5400}{\dfrac{500}{\sqrt{95}}}=1.61796786124\approx1.6180

Using z-value table , Critical one-tailed test value for 0.06 significance level :

z_{0.06}=1.5548

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[We reject the null hypothesis when critical value is less than the test statistic value .]

Conclusion : We have enough evidence at 0.06 significance level to support the claim that the new filament yields a longer bulb life

8 0
3 years ago
Please help me I need help​
Llana [10]

Answer:

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Step-by-step explanation:

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Answer:

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I do not know

Step-by-step explanation:

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