Answer: The mean increases by 3
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The original data set is
{50, 76, 78, 79, 79, 80, 81, 82, 82, 83}
The outlier is 50 because it is not near the group of values from 76 to 83 which is where the main cluster is.
The original mean is M = (50+76+78+79+79+80+81+82+82+83)/10 = 77
If we take out the outlier 50, the new mean is N = (76+78+79+79+80+81+82+82+83)/9 = 80
So in summary so far
old mean = M = 77
new mean = N = 80
The difference in values is N-M = 80-77 = 3
So that's why the mean increases by 3
The answer is 2
Look at the picture attached for steps
Add all shapes area together to know the figures complete area
triangles area 1 & 2 : 6×8 /2 -> 48/2 = 24
rectangle 1 : 6×12 -> 72
rectangle 2 : 8×12 -> 96
rectangle 3 : 10×12 -> 120
24+72+96+120
96+96+120
192+120
312cm
Answer:
The total cost of the taxi service is the flat free and the total amount that is based on the distance. Let x be this distance. The equation that would best represent the situation is,
1.25 + 0.75x = 14
Solving for x gives the answer of 17. Thus, Henri can afford to travel 17 miles.
Step-by-step explanation:
1. 2 (x + 3) = x - 4
2x + 6 = x- 4
2x - x = -4 - 6
x = -4 + -6 = -10.
x = 10
2. 4 (5x - 2) = 2 (9x + 3)
20x - 8 = 18x + 3
20x - 18x = 3 + 8
2x = 11
x = 11/2 = 5.5
x = 11/2 or 5.5
These are the Answers.
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