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
Step-by-step explanation:
Todd fills 30 paper cups with ketchup and Yuki fills 27 paper cups with ketchup.
Each paper cup holds 1 ounce
Todd = 30 * 1 = 30 ounces
Yuki = 27 * 1 = 27 ounces
Total ounces = 30 + 27
Later, Todd and Yuki learn that two other company employees completed exactly the same task.
Total ounces = 2 (30 + 27)
450
If he used 1/3 of the stock bottle, then you have
150=1/3x
Now, you multiply both sides by 3, which gives you
450=x
So, originally there were 450 bottles in the stock bottle
Answer: x = 9/4
Step-by-step explanation:
4x+12+2=23
4x+14 = 23
4x = 9
x = 9/4
Answer:
20.7
Step-by-step explanation:
