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:
Increasing
Step-by-step explanation:
The computation is given below:
Given that
y = 74 × (1.01)^8
= 74 × 1.082856706
= 80.1314
As it can be seen that the initial amount is 74 but after solving the given equation the value is increased as it shows 80.1314
Therefore it is increasing
Answer:
76.7 liters
Step-by-step explanation:
You have ...
C1×V1 = C2×V2
so ...
V2 = V1×(C1/C2) = (115 L)×(14/21) = 76 2/3 L
V2 ≈ 76.7 L
Answer: Reduction
Step-by-step explanation: If the scale factor of a dilation is between 0 and 1, the image will be smaller than the object, a reduction. It would only be an enlargement if the scale factor is greater than 1.
Answer:
-12
Step-by-step explanation:
