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3 years ago

Convert 153 degrees into radians to the nearest to decimals places

1 answer:

6 0

Since we know there are π radians in 180°, then how many radians are there in 153°?

$\bf \begin{array}{ccll}
radians&de grees\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\pi &180\\
x&153
\end{array}\implies \cfrac{\pi }{x}=\cfrac{180}{153}\implies \cfrac{\pi \cdot 153}{180}=x\implies \stackrel{simplified}{\cfrac{17\pi }{20}}=x$

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Classify the following triangle. check all that apply.

Leya [2.2K]

I would go for Obtuse from the 120° angle, Acute from the either the 20° and 40°, and scalene since all angles are unequal

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3 years ago

Read 2 more answers

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Lyrx [107]

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Hope this helps!

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3 years ago

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icang [17]

Answer:

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3 years ago

A hypothesis test is conducted at the .05 level of significance to test whether or not the population correlation is zero. If th

finlep [7]

Answer:

Th computed value of the test statistic is 3.597

Step-by-step explanation:

The null and the alternative hypothesis is as follows:

Null Hypothesis:

$\mathbf{H_o:}$ the population correlation coefficient is equal to zero

$\mathbf{H_a:}$ the population correlation coefficient is not equal to zero

The test statistics for Pearson correlation coefficient is thus computed as :

$t =\dfrac{r \sqrt{(n-2)}} { \sqrt{(1-(r)^2)} }$

where;

r = correlation coefficient = 0.60

n = sample size = 25

So;

$t =\dfrac{0.60 \sqrt{(25-2)}} { \sqrt{(1-(0.60)^2)} }$

$t =\dfrac{0.60 \sqrt{(23)}} { \sqrt{(1-0.36} }$

$t =\dfrac{0.60 *4.796} {0.8}$

t = 3.597

Comparing to a critical value of t (23 degrees of freedom two-tailed value) = 2.069

Decision Rule:

Since computed value of t is greater than the critical value of t; We reject the null hypothesis and accept the alternative hypothesis.

Conclusion:

We conclude that the population correlation coefficient significantly differs from 0 at 5% (0.05) level of significance.

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3 years ago

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devlian [24]

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3 years ago