Try this please, it's about arcs and angles and I'm just not sure how to do it. Thanks!
1 answer:
Check the picture below.
the segment LOJ is a diameter, and therefore the arcLCJ made by that diameter will have a central angle of 180°.
that simply means that the arcLC is 180 - 94, or 86°.
the ∡LJC is an inscribed angle that is intercepting the arcLC, and therefore, by the inscribed angle theorem, it'll be half of arcLC.
the segment LOJ is a diameter, and therefore the arcLCJ made by that diameter will have a central angle of 180°.
that simply means that the arcLC is 180 - 94, or 86°.
the ∡LJC is an inscribed angle that is intercepting the arcLC, and therefore, by the inscribed angle theorem, it'll be half of arcLC.
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Answer:
17° 43"
Step-by-step explanation:
Answer:
(15.23,41.016)
Step-by-step explanation:
WE must determine the mean of the data set: Which is the sum of the set divided by the number in the set.
We must also determine the standard deviation: Which is the square root of the variance and the variance is the sum of squares of the sample number minus the mean divided by the number if the set data:
The 95% confidence interval is defined as: The mean ± 1.96*standard deviation divided by the sqaure root of the number of data in the set:
The confidence interval for this data set is (15.23,41.016)
Answer:
15.866
Step-by-step explanation:
you would first find the mean of the data set by adding all the numbers together and dividing by the number of data points given (7 in this case).
- 12+13+29+18+61+35+21 = 189
- 189/7 = 27
you would then use the mean to solve for the standard deviation by using the equation, σ=√Σ(x-μ)²/N.
first, subtract the mean from all the data points
- 12-27=-15, 13-27=-14, 29-27=2, 18-27=-9, 61-27=34, 35-27=8, 21-27=-6
then, square each calculated value from above
- -15²=225, -14²=196, 2²=4, 9²=81, 34²=1156, 8²=64, 6²=36
then, add the squared values together
- 225+196+4+81+1156+64+36 = 1762
you would then divide 1762 by 7 (number of data values given orginally)
- 1762/7 = 251.714
finally, take the square root of 251.714 to find the standard deviation