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gayaneshka [121]
4 years ago
14

They want us toSolve for x

Mathematics
2 answers:
Margarita [4]4 years ago
8 0
The 3 inside angles of a triangle need to equal 180

you have 80 +60 = 140

so 51+x has to equal 180-140 or 40 degrees

51+x = 40

subtract 51 from each side
x = 40 - 51
x = -11
lina2011 [118]4 years ago
8 0
Just add up all 60 + 80 + 51 = 191.

191 - (-11) = 180 which is the number we would want to get.

(-11) would then because your answer as we do 180 + (-11) it would equal the sum of 191 which would be all the angles together.

Your answer: = (-11)
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5 0
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The Department of Transportation would like to test the hypothesis that the average age of cars on the road is less than 12 year
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Answer:

z=\frac{10.6-12}{\frac{4.1}{\sqrt{45}}}=-2.29  

Step-by-step explanation:

information given

\bar X=10.6 represent the sample mean  

\sigma=4.1 represent the population standard deviation

n=45 sample size  

\mu_o =12 represent the value that we want to test  

\alpha=0.05 represent the significance level for the hypothesis test.  

z would represent the statistic

p_v represent the p value for the test

Hypothesis to test

We want to test if the true mean is less than 12, the system of hypothesis would be:  

Null hypothesis:\mu \geq 10  

Alternative hypothesis:\mu < 10  

The statistic is given by:

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

Replacing the info given we got:

We can replace in formula (1) the info given like this:  

z=\frac{10.6-12}{\frac{4.1}{\sqrt{45}}}=-2.29  

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Which statements are true
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Answer:

its the second one

Step-by-step explanation:

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