Find the mean ( average):
105 + 104 + 110 + 112 + 114 + 106 + 108 +109 = 868
Mean = 868 / 8 = 108.5
Standard deviation:
108.5 - 105 = 3.5, 3.5^2 = 12.25
108.5 - 104 = 4, 4^2 = 16
110 - 108.5 = 1.5, 1.5^2 = 2.25
112 - 108.5 = 3.5, 3.5^2 = 12.25
114 - 108.5 = 5.5, 5.5^2 = 30.25
108.5 - 106 = 2.5, 2.5^2 = 6.25
108.5 - 108 = 0.5, 0.5^2 = 0.25
109 - 108.5 = 0.5, 0.5^2 = 0.25
12.25 + 16 +2.25 + 12.25 + 30.25 +6.25+0.25+0.25 = 79.75
79.75/8 = 9.96875, SQRT(9.96875) = 3.1573
Standard Deviation = 3.1573
108.8 +/- 1.96 *(3.1573/sqrt(8) = 110.687 and 106.312
110.687 - 108.5 = 2.19
108.5 - 106.312 = 2.19
Margin of error = +/- 2.19
Answer:
Step-by-step explanation:
-1/3y - 6 = -11
-1/3y - 6 + 6 = -11 + 6
-1/3y = -5
-1/3y * 3y = -5 * 3y
-1 = -15y
-1 / -15 = -15y / -15y
y = 1/15
Answer:
The first amount is larger by 25% or .25a
Step-by-step explanation:
Lets increase a by 50%
The increase is .5a
So the new value is a + .5a = 1.5a
Now we will decrease the new value by 50%
decrease = .5 (1.5a) = .75a
The new value of a is 1.5a - .75a = .75a
a > .75a
a - .75a = .25a
a is bigger than .75a by .25a
