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Novosadov [1.4K]
3 years ago
9

WIL GIVE BRAINLIEST!

Mathematics
1 answer:
Grace [21]3 years ago
5 0

Answer:  4x - 13

<h2>Step-by-step explanation: </h2>

<em>First, we need to get triple of x:</em>

Triple of x is: 3x

<em>Next is to get the difference between 3x and 13:</em>

x + 3x -13

4x - 13

Hence, the variable expression is 4x - 13

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Answer:

95% Confidence interval for the variance:

3.6511\leq \sigma^2\leq 34.5972

95% Confidence interval for the standard deviation:

1.9108\leq \sigma \leq 5.8819

Step-by-step explanation:

We have to calculate a 95% confidence interval for the standard deviation σ and the variance σ².

The sample, of size n=8, has a standard deviation of s=2.89 miles.

Then, the variance of the sample is

s^2=2.89^2=8.3521

The confidence interval for the variance is:

\dfrac{ (n - 1) s^2}{ \chi_{\alpha/2}^2} \leq \sigma^2 \leq \dfrac{ (n - 1) s^2}{\chi_{1-\alpha/2}^2}

The critical values for the Chi-square distribution for a 95% confidence (α=0.05) interval are:

\chi_{0.025}=1.6899\\\\\chi_{0.975}=16.0128

Then, the confidence interval can be calculated as:

\dfrac{ (8 - 1) 8.3521}{ 16.0128} \leq \sigma^2 \leq \dfrac{ (8 - 1) 8.3521}{1.6899}\\\\\\3.6511\leq \sigma^2\leq 34.5972

If we calculate the square root for each bound we will have the confidence interval for the standard deviation:

\sqrt{3.6511}\leq \sigma\leq \sqrt{34.5972}\\\\\\1.9108\leq \sigma \leq 5.8819

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3 years ago
Please help me ............
Marysya12 [62]

Answer:

x+30=90

OR

180-120=x

The measure of the angle is 60 degrees.

Step-by-step explanation:

Plug in 60 as x and it will fit each equation.

6 0
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