Answer:
Standard deviation = 14.064
Step-by-step explanation:
We are given the following data;
X X - 
20 20 - 46 = -26 676
23 23 - 46 = - 23 529
32 32 - 46 = -14 196
36 36 - 46 = -10 100
41 41 - 46 = -5 25
43 43 - 46 = -3 9
44 44 - 46 = -2 4
45 45 - 46 = -1 1
47 47 - 46 = 1 1
54 54 - 46 = 8 64
55 55 - 46 = 9 81
59 59 - 46 = 13 169
61 61 - 46 = 15 225
63 63 - 46 = 17 289
66 66 - 46 = 20 <u> 400 </u>
<u>= 2769 </u>
Firstly we will calculate Mean, = 
= 45.93 ≈ 46
Now, Standard deviation formula is given by;
s = 
= 
= 14.064 .
Answer: to find the mean add the numbers that were given then Divine by the amount of numbers you added. To find the median put all the numbers in numerical order and pick the middle one if it is an even amount of numbers than you pick the number exactly halfway between the two middle. To find the range you see how many numbers are repeated in which ever number is repeated the most amount of times that is the range.
Step-by-step explanation:
Multiply the first equation with (-1)
you should get this
-6r + 3t = -6
6r + 8t = -16
start to eliminate
11t = -22
divide by 11
t = -2
substitute
6r - 3(-2) = 6
6r + 6 = 6
6r = 6 - 6
6r = 0
r=0
Answer:
137
Step-by-step explanation:
First start with what you know. The measure of the interior angles of a triangle total to 
so 51 + 2x + x = 180, then 51 + 3x = 180, 3x = 129, so
x = 43, the exterior angle is on a straight line with x so
x + exterior angle = 180 [since they are supplementary], since x = 43 then
43 + e = 180, so e has to be 137
