To get the variance, start with finding the mean of your data points:
(23 + 19 + 22 + 30 + 28) / 5 = 24.4
Now take each data point and subtract the mean from it, then square that value:
23 - 24.4 = -1.4 * -1.4 = 1.96
19 - 24.4 = -5.4 * -5.4 = 29.16
22 - 24.4 = -2.4 * -2.4 = 5.76
30 - 24.4 = 5.6 * 5.6 = 31.36
28 - 24.4 = 3.6 * 3.6 = 12.96
Now get the average of those new numbers. That is your variance:
(1.96 + 29.16 + 5.76 + 31.36 + 12.96) / 5 = 16.24
The standard deviation will be the square root of the variance:
√(16.24) = 4.0299 (rounded to 4DP)
Answer: D
Step-by-step explanation:
The construction of a triangle tangent to the three sides would require the construction of the incircle.
Any number that can be rewritten as a simple fraction is a rational number. This means that natural numbers, whole numbers and integers, like 5, are all part of the set of rational numbers as well because they can be written as fractions, as are mixed numbers like 1
Answer:
364.42 ft.
Step-by-step explanation:
For step 1 we should multiply pi by r and 2.
π x r x 2
For step 2 we should multiply pi by 58 and 2.
π x 58 x 2
In result, we should end up with 364.424748 ft. or for short 364.42 ft.
I hope I helped you... Have a great and nice day! :D
Answer: a = 150
b = 30
Remember: supplementary angles always add up to 180 degrees. Therefore, using this information, you can easily form your equation.
Form your equation. Since a is five times b, a = 5b.
5b + b = 180 Combine like terms
6b = 180 Divide by 6 to both sides
b = 30 Answer!
Substitute (30) for b in a = 5b to find a.
a = 5(30) Simplify
a = 150 Answer!