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Tanzania [10]
2 years ago
7

List the angles in order from the smallest to the largest.

Mathematics
1 answer:
Svetllana [295]2 years ago
8 0

Answer:

D. <S, <R, <T

Step-by-step explanation:

Recall: On a triangle, the bigger an angle measure the longer the side opposite it and vice versa.

In ∆RST,

The longest side, SR = 22, is opposite to <T

Therefore, <T is the biggest angle.

Medium side, ST = 21, is opposite to <R, therefore,

<R is the medium angle measure

The smallest angle measure <S is opposite to the shortest side, RT.

Angels I'm order form the smallest to largest will be:

<S, <R, <T

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<h2><u>Answer with explanation:</u></h2>

Let \mu be the population mean strain in a way that conveys information about precision and reliability.

The sample mean is the best point estimate of the true population mean .

As per given , we have

Sample size : n= 12

degree of freedom : df=12-1=11

Sample mean : \overline{x}=25.0

The true average strain in a way that conveys information about precision and reliability= 25.0

sample standard deviation : s= 3.3

Significance level : \alpha= 0.05

Since sample population standard deviation is unknown , so we use t-test.

Critical t-value for t : t_{\alpha/2, df}=t_{0.025, 11}=2.201

95% Confidence interval for true average strain in a way that conveys information about precision and reliability:

\overline{x}\pm t_{\alpha/2, df}\dfrac{s}{\sqrt{n}}

25.0\pm (2.201)\dfrac{3.3}{\sqrt{12}}\\\\=\approx 25.0\pm2.10\\\\=(25.0-2.10, 25.0+2.10)=(22.9,\ 27.1)

The 95% Confidence interval for true average strain in a way that conveys information about precision and reliability: (22.9,\ 27.1)

We 95% confident that the true population average strain in a way that conveys information about precision and reliability lies between 22.9 and 27.1 .

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