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:
n = -3
Step-by-step explanation:
-5n -3(n+2) = 18
-5n - 3n - 6 = 18
-8n - 6 = 18
-8n = 18 + 6
-8n = 24
n = -3
Hope this helped! If not, please let me know <3
Answer:
i used a scientific calculator for these!
if they are wrong please tell me :)
1) 134237.727273
2) 2517.85714286
Find the measures of the three angles, in radians, of the triangle with the given vertices: d(1,1,1), e(1,−5,2), and f(−2,2,7).
Oduvanchick [21]
Consider triangle DEF with vertices D(1,1,1), E(1,-5,2) and F(-2,2,7).
1. Find
Then
2. Find
Then
3. Find
Then
4.
Important: Please share the instructions for each problem that you post.
I will have to assume that you're supposed to solve the following equation for x:
14 + 5x = 3(-x + 3) - 11
"Order of Operations" rules require that you do multiplication and division before addition or subtraction here.
Thus, you must multiply out 3(-x + 3). Correct result: -3x + 9.
Then you have 14 + 5x = -3x + 9 - 11
Group all x terms on the left side of your equation. To do this here, add 3x to both sides. Similarly, group all of the constants on the right side. To do this, subtract 14 from both sides.
Simplify your result.