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Mnenie [13.5K]
2 years ago
10

The measures of the first and second angles in a triangle are equal.The third angle measures 9 times the sum of the equal angles

. Find the measurements of the three angles
Mathematics
1 answer:
Liula [17]2 years ago
3 0

9514 1404 393

Answer:

  9°, 9°, 162°

Step-by-step explanation:

Let x represent the measure of the first angle. Then the sum of all of the angles in the triangle is ...

  x + x + 9(x+x) = 180°

  20x = 180° . . . . . . . . . . collect terms

  x = 180°/20 = 9° . . . . . divide by 20

  9(x+x) = 162° . . . . . . . find the third angle

The three angle measures are 9°, 9°, and 162°.

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Here are summary statistics for randomly selected weights of newborn​ girls: nequals=174174​, x overbarxequals=30.930.9 ​hg, seq
MaRussiya [10]

Answer:

The 95% confidence interval would be given by (29.780;32.020)  

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=30.9 represent the sample mean for the sample  

\mu population mean (variable of interest)

s=7.5 represent the sample standard deviation

n=174 represent the sample size  

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=174-1=173

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-T.INV(0.025,173)".And we see that t_{\alpha/2}=1.97, this value is similar to the obtained with the normal standard distribution since the sample size is large to approximate the t distribution with the normal distribution.  

Now we have everything in order to replace into formula (1):

30.9-1.97\frac{7.5}{\sqrt{174}}=29.780    

30.9+1.97\frac{7.5}{\sqrt{174}}=32.020

So on this case the 95% confidence interval would be given by (29.780;32.020)    

The value 29.6 is not contained on the interval calculated.

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3 years ago
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Answer:

The rational number 1 is the multiplicative identity for rational numbers.

Step-by-step explanation:

I hope this will help you buddy

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Answer: 
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Answer:

Totally Rational

Step-by-step explanation:

-16/-2 would give you 8 which is a rational number

<em><u>I hope this helps, dont hesitate to ask for any question.Mark me as brainliest is appreciated.Tq!!</u></em>

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