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REY [17]
2 years ago
8

Find the exact value of tan ^-1 (-root of 3) Write your answer in radians in terms of n.

Mathematics
1 answer:
mamaluj [8]2 years ago
8 0

Answer:

To find the exact vale of atan(-sqrt(3)) we're going to need the help of a calculator

atan(-sqrt(3)) = -1.04719755 rads.

If you take a look at the important angles, you will notice that the arc is minus 60 degrees which equals -1.04716755 radians.

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Tenth = 0.1
81.139 ≈ 81.1 
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28+87 divided by 3•2 to the third power
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Step-by-step explanation:

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My number rounded to the merest tenth place is 6.4. What might my number be?
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Bo, Ryan and Zach walked 1/4 miles from school to Bo’s house. They walked 4/6 miles from Bo's House to the park what is the tota
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7 0
3 years ago
A student wanted to construct a 95% confidence interval for the average age of students in her statistics class. She randomly se
Darina [25.2K]

Answer: (17.42, 20.78)

Step-by-step explanation:

As per given , we have

Sample size : n= 9

\overline{x}=19.1 years

Population standard deviation is not given , so it follows t-distribution.

Sample standard deviation : s= 1.5 years

Confidence level : 99% or 0.99

Significance level : \alpha= 1-0.99=0.01

Degree of freedom : df= 8  (∵df =n-1)

Critical value : t_c=t_{(\alpha/2,\ df)}=t_{0.005,\ 8}= 3.355

The 99% confidence interval for the population mean would be :-

\overline{x}\pm t_c\dfrac{s}{\sqrt{n}}

19.1\pm (3.355)\dfrac{1.5}{\sqrt{ 9}}\\\\=19.1\pm1.6775\\\\=(19.1-1.6775,\ 19.1+1.6775)\\\\=(17.4225,\ 20.7775)\approx(17.42,\ 20.78)

Hence, the 99% confidence interval for the population mean is (17.42, 20.78) .

7 0
3 years ago
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